Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

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Transcript of Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Page 1: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Practice Tests with Answer Keys

Page 2: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #4

SPI 3102.1.4: Translate between representations of functions that depict real-world situations.

1. Carrie bought 3 kinds of flowers.The costs are summarized in thetable below.

Flower CostFlower Number

PurchasedCost

Pansies 10 $25Petunias 8 $21Roses 7 $19

Which equation correctly expressesthe relationship between the numberof flowers purchased (f) and the cost(c)?

A. c = 2f + 5B. c = 2.5fC. c = f + 15D. c = 3f 3

2. Given the sequence 2, 8, 26, 80

Which function below correctlymodels the sequence, if x representseach number in the sequence?

A. f(x) = x + 6B. f(x) = 2x + 4C. f(x) = 4x 6D. f(x) = 3x + 2

3. The table below describes thenumber of inches in each foot.Which equation best models thisrelationship?

Number of Feet (x) 1 2 3 4Number of Inches f(x) 12 24 36 48

A. f(x) = x + 12B. f(x) = 3x 12C. f(x) = 12xD. f(x) = 2x - 10

4. Joel sold lemonade at the summerleague baseball tournament for 3days. He purchased lemons, sugar,and cups each day for $200.00. Hesold the lemonade for $1.50 per cup.

Which equation correctly models theprofit Joel made each day?

Lemonade Profit

A. p = s $50B. p = $1.50s - $200.00C. p = s - $200.00D. p = $200.00s - $1.50

5. Lorena works for a company thatpackages CDs from various artists tosend to radio stations for promotionalevents. The table below summarizesthe CDs sent to each station.

Which equation below correctlyexpresses the relationship betweenthe number of CDs sent per event (x)and the total sent to each station,f(x)?

A. f(x) = 4x + 2B. f(x) = 5x 10C. f(x) = 3x + 6D. f(x) = x + 38

Day Number ofCups Sold (s)

Profit (p)

Friday 300 $250.00Saturday 350 $325.00Sunday 400 $400.00

RadioStation

Number ofCDs Sentper Event

Total Sentto EachStation

WKBX 12 50WLHR 8 30WPTC 9 35

Page 3: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #4

SPI 3102.1.4: Translate between representations of functions that depict real-world situations.

1. Carrie bought 3 kinds of flowers.The costs are summarized in thetable below.

Flower CostFlower Number

PurchasedCost

Pansies 10 $25Petunias 8 $21Roses 7 $19

Which equation correctly expressesthe relationship between the numberof flowers purchased (f) and the cost(c)?

A. c = 2f + 5B. c = 2.5fC. c = f + 15D. c = 3f 3

2. Given the sequence 2, 8, 26, 80

Which function below correctlymodels the sequence, if x representseach number in the sequence?

A. f(x) = x + 6B. f(x) = 2x + 4C. f(x) = 4x 6D. f(x) = 3x + 2

3. The table below describes thenumber of inches in each foot.Which equation best models thisrelationship?

Number of Feet (x) 1 2 3 4Number of Inches f(x) 12 24 36 48

A. f(x) = x + 12B. f(x) = 3x 12C. f(x) = 12xD. f(x) = 2x - 10

4. Joel sold lemonade at the summerleague baseball tournament for 3days. He purchased lemons, sugar,and cups each day for $200.00. Hesold the lemonade for $1.50 per cup.

Which equation correctly models theprofit Joel made each day?

Lemonade Profit

A. p = s $50B. p = $1.50s - $200.00C. p = s - $200.00D. p = $200.00s - $1.50

5. Lorena works for a company thatpackages CDs from various artists tosend to radio stations for promotionalevents. The table below summarizesthe CDs sent to each station.

Which equation below correctlyexpresses the relationship betweenthe number of CDs sent per event (x)and the total sent to each station,f(x)?

A. f(x) = 4x + 2B. f(x) = 5x 10C. f(x) = 3x + 6D. f(x) = x + 38

Day Number ofCups Sold (s)

Profit (p)

Friday 300 $250.00Saturday 350 $325.00Sunday 400 $400.00

RadioStation

Number ofCDs Sentper Event

Total Sentto EachStation

WKBX 12 50WLHR 8 30WPTC 9 35

A.A. c = 2f + 5B. p = $1.50s - $200.00

D. f(x) = 3x + 2

C. f(x) = 12xf(x) = 12xB. f(x) = 5x 10

Page 4: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #1

SPI 3102.1.1: Interpret patterns found in sequences, tables, and other forms ofquantitative information using variables or function notation.

1. Which function best represents thedata shown in the table?

Shirt CostNumber of

shirts, xTotal Cost,

f(x)1 152 263 374 485 59

A. f(x) = 11xB. f(x) = x + 11C. f(x) = 11x + 4D. f(x) = 4x + 11

2. Which function represents the datashown in this table?

n f(n)1 102 133 164 195 22

A. f(n) = x + 3B. f(n) = 2x + 8C. f(n) = 4x + 5D. f(n) = 3x + 7

3. Write a function to represent thesequence listed below.

2, 7, 12, 17, 22, 27

A. f(x) = 3x + 1B. f(x) = 2x + 4C. f(x) = x + 5D. f(x) = 7x 2

4. A sequence is created from thefunction k(n) = 2n + 3, where nrepresents the position of the term ofthe sequence. The sequence doesnot begin at 0. Which list representsthe first five terms of the sequence?

A. 3, 5, 7, 9, 11B. 5, 7, 9, 11, 13C. 5, 9, 13, 17, 21D. 2, 3, 4, 5, 6

5. The table shows the cost of shippingt-shirts, c(t), based on the number oft-shirts ordered, t.

Number ofshirts

ordered, t

Total cost ofshipping

t-shirts, c(t)1 $2.502 $2.803 $3.104 $3.405 $3.706 $4.007 $4.308 $4.60

The pattern in the table continues.Which value represents the cost ofshipping 12 t-shirts?

A. $4.90B. $5.20C. $5.50D. $5.80

Page 5: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #1

SPI 3102.1.1: Interpret patterns found in sequences, tables, and other forms ofquantitative information using variables or function notation.

1. Which function best represents thedata shown in the table?

Shirt CostNumber of

shirts, xTotal Cost,

f(x)1 152 263 374 485 59

A. f(x) = 11xB. f(x) = x + 11C. f(x) = 11x + 4D. f(x) = 4x + 11

2. Which function represents the datashown in this table?

n f(n)1 102 133 164 195 22

A. f(n) = x + 3B. f(n) = 2x + 8C. f(n) = 4x + 5D. f(n) = 3x + 7

3. Write a function to represent thesequence listed below.

2, 7, 12, 17, 22, 27

A. f(x) = 3x + 1B. f(x) = 2x + 4C. f(x) = x + 5D. f(x) = 5x 3

4. A sequence is created from thefunction k(n) = 2n + 3, where nrepresents the position of the term ofthe sequence. The sequence doesnot begin at 0. Which list representsthe first five terms of the sequence?

A. 3, 5, 7, 9, 11B. 5, 7, 9, 11, 13C. 5, 9, 13, 17, 21D. 2, 3, 4, 5, 6

5. The table shows the cost of shippingt-shirts, c(t), based on the number oft-shirts ordered, t.

Number ofshirts

ordered, t

Total cost ofshipping

t-shirts, c(t)1 $2.502 $2.803 $3.104 $3.405 $3.706 $4.007 $4.308 $4.60

The pattern in the table continues.Which value represents the cost ofshipping 12 t-shirts?

A. $4.90B. $5.20C. $5.50D. $5.80

B. 5, 7, 9, 11, 13

C. f(x) = 11x + 4

D. f(n) = 3x + 7

D. $5.80

C. f(x) = x + 5

Page 6: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #16

SPI 3102.3.7: Determine domain and range of a relation, determine whether arelation is a function, and/or evaluate a function at a specified rational value.

1. The height (h) of a cliff diver abovethe water t seconds after he jumps ismodeled by the equationh = 16t2 + 72. What is the heightabove the water of a cliff diver at 1.5seconds after he jumps?

A. 36B. 108C. 53D. 312

2. A meteorologist sends a moistureprobe rocket into a cloud layer. Theheight (h) the rocket will reach after tseconds is modeled by the equationh = 16t2 + 212t + 2. What will bethe height of the rocket after 0.5seconds?

A. 212 ft.B. 662C. 104 ft.D. 44

3. Which of the following relations doesNOT represent a function?

A. {(3, 2), (4, 1), (5, 2), ( 7, 3)}B.

C. 5 - 70 9

-2 3

D. {( 2, 1), ( 3, 2), ( 4, 3), ( 5, 4)}

4. What is the domain of the function?

x y5 2

10 315 720 5

A. { 2, 3, 7, 5}B. {all real numbers}C. 5 < d < 20D. {5, 10, 15, 20}

5. What is the range of the function?

A. 3 < D < 1B. 4 < D < 4C. 3 < R < 1D. 4 < R < 4

6. What is the value of the functionf(x) = x2 4x + 6 when x = 5?

A. 1B. 11C. 21D. 51

x y3 55 43 8

A.A. 3636

D. {5, 10, 15, 20}

C. 104 ft104 ft.

B.B. xx yy3 55 43 8

C. 3 < R < 1

D. 51

Page 7: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #16

SPI 3102.3.7: Determine domain and range of a relation, determine whether arelation is a function, and/or evaluate a function at a specified rational value.

1. The height (h) of a cliff diver abovethe water t seconds after he jumps ismodeled by the equationh = 16t2 + 72. What is the heightabove the water of a cliff diver at 1.5seconds after he jumps?

A. 36B. 108C. 53D. 312

2. A meteorologist sends a moistureprobe rocket into a cloud layer. Theheight (h) the rocket will reach after tseconds is modeled by the equationh = 16t2 + 212t + 2. What will bethe height of the rocket after 0.5seconds?

A. 212 ft.B. 662C. 104 ft.D. 44

3. Which of the following relations doesNOT represent a function?

A. {(3, 2), (4, 1), (5, 2), ( 7, 3)}B.

C. 5 - 70 9

-2 3

D. {( 2, 1), ( 3, 2), ( 4, 3), ( 5, 4)}

4. What is the domain of the function?

x y5 2

10 315 720 5

A. { 2, 3, 7, 5}B. {all real numbers}C. 5 < d < 20D. {5, 10, 15, 20}

5. What is the range of the function?

A. 3 < D < 1B. 4 < D < 4C. 3 < R < 1D. 4 < R < 4

6. What is the value of the functionf(x) = x2 4x + 6 when x = 5?

A. 1B. 11C. 21D. 51

x y3 55 43 8

Page 8: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #5

SPI 3102.1.5: Recognize and express the effect of changing constants and/orcoefficients in problem solving.

1. Ben works at a shoe store. Theequation y = 15x + 60 represents hisdaily earnings, y, based on selling xpairs of shoes. What is representedby the slope in this equation?

A. The total pairs of shoes that Bensells each day

B. The total amount of money Benearns each day

C. The amount of money Ben earnsfor each pair of shoes he sells

D. The amount of money Ben earnsif he does not sell any shoes

2. Which transformation occurs to thegraph of y = 2x + 5 when theequation of the line changes toy = 2x + 5?

A. The line shifts to the left 2 units.B. The line shifts down 2 units.C. The line is reflected across the

x-axis.D. The line is reflected across the

y-axis.

3. Ally earns $2,500 per month plus acommission of 7% of the total dollaramount of each sale she makes. Hertotal monthly earnings, P, arerepresented by the equationP = 2,500 + 0.07t, where t representsthe total dollar amount of her salesfor the month. Which equation willrepresent her total monthly earningsin dollars if her commission increasesan additional 2%?

A. P = 2,700 + 0.09tB. P = 2,500 + 0.09tC. P = 2,700 + 0.07tD. P = 2,500 + 0.05t

4. Which transformation occurs to thegraph of y = 5x + 2 when theequation of the line changes toy = 5x 3?

A. The line shifts to the left 5 units.B. The line shifts down 5 units.C. The line is reflected across the

x-axis.D. The line is reflected across the x-

axis.

5. What transformation occurs to thegraph of y = 3x + 1 when theequation of the line changes toy = 6x + 1?

A. The line becomes steeper.B. The line becomes less steep.C. The line shifts 3 units up.D. The line shifts 3 units right.

6. Jim and Sam are both spending thenight with a cousin. The total numberof miles Jim drives, J, including a 2.5mile detour for lunch, is given by theequation J = 65t + 2.5. The totalnumber of miles Sam drives, S,including a 1 mile detour to pick upanother cousin, is given by theequation S = 70t + 1. If t representsthe time in hours after each boyleaves home, which statement best

speed?

.5 miles faster

Page 9: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #5

SPI 3102.1.5: Recognize and express the effect of changing constants and/orcoefficients in problem solving.

1. Ben works at a shoe store. Theequation y = 15x + 60 represents hisdaily earnings, y, based on selling xpairs of shoes. What is representedby the slope in this equation?

A. The total pairs of shoes that Bensells each day

B. The total amount of money Benearns each day

C. The amount of money Ben earnsfor each pair of shoes he sells

D. The amount of money Ben earnsif he does not sell any shoes

2. Which transformation occurs to thegraph of y = 2x + 5 when theequation of the line changes toy = 2x + 5?

A. The line shifts to the left 2 units.B. The line shifts down 2 units.C. The line is reflected across the

x-axis.D. The line is reflected across the

y-axis.

3. Ally earns $2,500 per month plus acommission of 7% of the total dollaramount of each sale she makes. Hertotal monthly earnings, P, arerepresented by the equationP = 2,500 + 0.07t, where t representsthe total dollar amount of her salesfor the month. Which equation willrepresent her total monthly earningsin dollars if her commission increasesan additional 2%?

A. P = 2,700 + 0.09tB. P = 2,500 + 0.09tC. P = 2,700 + 0.07tD. P = 2,500 + 0.05t

4. Which transformation occurs to thegraph of y = 5x + 2 when theequation of the line changes toy = 5x 3?

A. The line shifts to the left 5 units.B. The line shifts down 5 units.C. The line is reflected across the

x-axis.D. The line is reflected across the x-

axis.

5. What transformation occurs to thegraph of y = 3x + 1 when theequation of the line changes toy = 6x + 1?

A. The line becomes steeper.B. The line becomes less steep.C. The line shifts 3 units up.D. The line shifts 3 units right.

6. Jim and Sam are both spending thenight with a cousin. The total numberof miles Jim drives, J, including a 2.5mile detour for lunch, is given by theequation J = 65t + 2.5. The totalnumber of miles Sam drives, S,including a 1 mile detour to pick upanother cousin, is given by theequation S = 70t + 1. If t representsthe time in hours after each boyleaves home, which statement best

speed?

.5 miles faster

B. The line shifts down 5 units.

C. The amount of money Ben earnsfor each pair of shoes he sells

A.A. The line becomes steeper.

D. The line is reflected across theThe line is reflected across they-axis.

B. P = 2,500 + 0.09tP = 2,500 + 0.09t

Page 10: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #6

SPI 3102.1.6: Determine and interpret slope in multiple contexts including rate ofchange in real-world problems.

1. Find the slope of the line that passesthrough ( 6, 1) and (4, 3).

A. 5

2

B. 5

2

C. 2

5

D. 2

5

2. Brandon works in a shoe store. Hisdaily earnings, y, are represented bythe equation y = 20x + 75 based onselling x pairs of shoes. What isrepresented by the slope in thisequation?

A. The total pairs of shoes Brandonsells each day

B. The total amount of moneyBrandon earns each day

C. The amount of money Brandonearns for each pair of shoes hesells

D. The amount of money Brandonearns each day, even if he sellsno shoes

3. The distance in miles, y, a rower in acanoe is from the dock after rowing xhours is represented by the equationy = 5x + 11. What does the sloperepresent in this situation?

A. The speed of the currentB. The speed of the rower/canoeC. The distance the rower is from the

dock when x = 0D. The average speed of the oar as

it passes through the water

4. What is the slope of the line3x 7y = 11?

A. 3

7

B. 3

7C. 3D. 3

5. In 1991, the federal minimum wagerate was $4.25 per hour. In 1997, itwas increased to $5.15. Find theannual rate of change in the federalminimum wage rate from 1991 to1997.

A. $0.15 per yearB. $0.18 per yearC. $0.55 per yearD. $0.90 per year

6. The table below shows the amountspent on food and drink at U.S.restaurants in recent years. Find therate of change for 1980-1990.

A. 13.7 billion per yearB. 12.8 billion per yearC. 10 billion per yearD. 11.9 billion per year

YearFood & Drink

Sales(in billions)

1980 $1201990 $2392000 $376

Page 11: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #6

SPI 3102.1.6: Determine and interpret slope in multiple contexts including rate ofchange in real-world problems.

1. Find the slope of the line that passesthrough ( 6, 1) and (4, 3).

A. 5

2

B. 5

2

C. 2

5

D. 2

5

2. Brandon works in a shoe store. Hisdaily earnings, y, are represented bythe equation y = 20x + 75 based onselling x pairs of shoes. What isrepresented by the slope in thisequation?

A. The total pairs of shoes Brandonsells each day

B. The total amount of moneyBrandon earns each day

C. The amount of money Brandonearns for each pair of shoes hesells

D. The amount of money Brandonearns each day, even if he sellsno shoes

3. The distance in miles, y, a rower in acanoe is from the dock after rowing xhours is represented by the equationy = 5x + 11. What does the sloperepresent in this situation?

A. The speed of the currentB. The speed of the rower/canoeC. The distance the rower is from the

dock when x = 0D. The average speed of the oar as

it passes through the water

4. What is the slope of the line3x 7y = 11?

A. 3

7

B. 3

7C. 3D. 3

5. In 1991, the federal minimum wagerate was $4.25 per hour. In 1997, itwas increased to $5.15. Find theannual rate of change in the federalminimum wage rate from 1991 to1997.

A. $0.15 per yearB. $0.18 per yearC. $0.55 per yearD. $0.90 per year

6. The table below shows the amountspent on food and drink at U.S.restaurants in recent years. Find therate of change for 1980-1990.

A. 13.7 billion per yearB. 12.8 billion per yearC. 10 billion per yearD. 11.9 billion per year

YearFood & Drink

Sales(in billions)

1980 $1201990 $2392000 $376

3B.7

2D.5

C. The amount of money Brandonearns for each pair of shoes hesells

A.A. $0.15 per year$0.15 per year

B. The speed of the rower/canoe

D. 11.9 billion per year11.9 billion per year

Page 12: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #7

SPI 3102.2.1: Operate (add, subtract, multiply, divide, simplify, powers) withradicals and radical expressions including radicands involving rational numbersand algebraic expressions.

1. If the value of the variable x ispositive, what is the sum ofand ?

A.B.C.D.

2. What is the value of the followingexpression?

64

25

49

36

A.3136

1079

B.56

83

C.15

11

D.56

13

3. Write in simplest radical form.

A.A.B.C.

4. Which expression is equivalent to?

A. 5x4

B. 25x4

C. 25x8

D. 625x8

5. Which expression is equivalent to

?

A. 2x 5

B. 10x 5

C. 5x

D.25

10 x

6. What is the product of and?

A.B.C.D.

7. Write 5418 yx in simplest radicalform.

A. 2x2y2 y3

B. 3x2y2 y6

C. 2xyD. 3x2y2 y2

8. If x 2

3, which expression is

equivalent to2

2?

A. x + 6B. 3x + 2C. 6x2 + 8x 8D. 12x2 + 32x + 16

Page 13: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #7

SPI 3102.2.1: Operate (add, subtract, multiply, divide, simplify, powers) withradicals and radical expressions including radicands involving rational numbersand algebraic expressions.

1. If the value of the variable x ispositive, what is the sum ofand ?

A.B.C.D.

2. What is the value of the followingexpression?

64

25

49

36

A.3136

1079

B.56

83

C.15

11

D.56

13

3. Write in simplest radical form.

A.A.B.C.

4. Which expression is equivalent to?

A. 5x4

B. 25x4

C. 25x8

D. 625x8

5. Which expression is equivalent to

?

A. 2x 5

B. 10x 5

C. 5x

D.25

10 x

6. What is the product of and?

A.B.C.D.

7. Write 5418 yx in simplest radicalform.

A. 2x2y2 y3

B. 3x2y2 y6

C. 2xyD. 3x2y2 y2

8. If x 2

3, which expression is

equivalent to2

2?

A. x + 6B. 3x + 2C. 6x2 + 8x 8D. 12x2 + 32x + 16

A.A. 2x 5

B.

D.

13D.56

2 2D. 3x23x3x y2 y2A.A.

44B. 25x425x25x8

A. x + 6A. x + 6

Page 14: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #8

SPI 3102.2.2 Multiply, divide, and square numbers expressed in scientificnotation.

1. One gram of water contains about3.34 x 1022 molecules. About howmany molecules are contained in 5.0x 102 grams of water?

A. 1.67 x 1025

B. 8.84 x 1024

C. 6.68 x 1019

D. 1.49 x 10 20

2. Simplify (6.5 x 103)2.

A. 13 x 106

B. 13.0 x 106

C. 4.23 x 107

D. 42.2 x 108

3. The radius of a red blood cell isapproximately 1.9375 x 10 7 meters.Since a red blood cell is a circularshape, use A= r2 to approximate thearea of a red blood cell.

A. 3.875 x 10 14

B. 1.179 x 10 13

C. 1.179 x 1015

D. 3.875 x 10 13

4. Simplify (3.15 x 103)(5.0 x 105).Express your answer in scientificnotation.

A. 1575 x 109

B. 1.575 x 108

C. 15.75 x 1010

D. 1.575 x 109

5. Evaluate and express the answer inscientific notation.

6.3 x 109

1.3 x 102

A. 48 x 108

B. 48000000C. 4.8 x 107

D. 4.8 x 101

6. Which expression is closest to(7.09 x 10 8)(9.033 x 1027)?

A. 6.404 x 1020

B. 6.404 x 1035

C. 16.123 x 1019

D. 16.123 x 1035

7. The approximate population of Arizonais 4.778 x 106 people. The land areais about 1.14 x 105. What is thepopulation density per square mile?

A. about 0.24 people per spare mileB. about 4,892,000 people per square

mileC. about 5.45x1011 people per square

mileD. about 42 people per square mile

8. If an infrared wavelength measuresabout 8 x 10 7 meters, and a bluewavelength measures approximately4.5 x 10 7 meters, about how manytimes longer is the infrared wavelengththan the blue wavelength?

A. about 0.56 timesB. about 1.8 timesC. about 3.6 x 10 13 timesD. about 1.25 x 10 6 times

Page 15: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #8

SPI 3102.2.2 Multiply, divide, and square numbers expressed in scientificnotation.

1. One gram of water contains about3.34 x 1022 molecules. About howmany molecules are contained in 5.0x 102 grams of water?

A. 1.67 x 1025

B. 8.84 x 1024

C. 6.68 x 1019

D. 1.49 x 10 20

2. Simplify (6.5 x 103)2.

A. 13 x 106

B. 13.0 x 106

C. 4.23 x 107

D. 42.2 x 108

3. The radius of a red blood cell isapproximately 1.9375 x 10 7 meters.Since a red blood cell is a circularshape, use A= r2 to approximate thearea of a red blood cell.

A. 3.875 x 10 14

B. 1.179 x 10 13

C. 1.179 x 1015

D. 3.875 x 10 13

4. Simplify (3.15 x 103)(5.0 x 105).Express your answer in scientificnotation.

A. 1575 x 109

B. 1.575 x 108

C. 15.75 x 1010

D. 1.575 x 109

5. Evaluate and express the answer inscientific notation.

6.3 x 109

1.3 x 102

A. 48 x 108

B. 48000000C. 4.8 x 107

D. 4.8 x 101

6. Which expression is closest to(7.09 x 10 8)(9.033 x 1027)?

A. 6.404 x 1020

B. 6.404 x 1035

C. 16.123 x 1019

D. 16.123 x 1035

7. The approximate population of Arizonais 4.778 x 106 people. The land areais about 1.14 x 105. What is thepopulation density per square mile?

A. about 0.24 people per spare mileB. about 4,892,000 people per square

mileC. about 5.45x1011 people per square

mileD. about 42 people per square mile

8. If an infrared wavelength measuresabout 8 x 10 7 meters, and a bluewavelength measures approximately4.5 x 10 7 meters, about how manytimes longer is the infrared wavelengththan the blue wavelength?

A. about 0.56 timesB. about 1.8 timesC. about 3.6 x 10 13 timesD. about 1.25 x 10 6 times

2525A.A. 1.67 x 1025

77C. 4.8 x 107

77C. 4.23 x 107

8

2020A. 6.404 x 10A. 6.404 x 1020

35C.C.

1515C. 1.179 x 1015

D. about 42 people per square mile

99D. 1.575 x 109

B. about 1.8 times

Page 16: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #10

SPI 3102.3.1: Express a generalization of a pattern in various representationsincluding algebraic and function notation.

1. At the beginning of year 1, Judydeposits $250 in her savingsaccount, which pays 7% interestcompounded annually. She makesno other deposits or withdrawals.The amount in the account at thebeginning of each year is shown inthe table.

Which function represents A(n), the

beginning of the year n?

A. A(n) = 250B. A(n) = 250(1.07)n+1

C. A(n) = 250(1.07)n

D. A(n) = 250(1.07)n 1

2. Which function represents the linearpattern shown in the table?

x f(x)1 32 103 174 24

A. f(x) = x + 2B. f(x) = 3xC. f(x) = 7x 4D. f(x) = 5x 2

3. The first 3 figures in a pattern areshown.

Figure 1 Figure 2 Figure 3

Which function represents f(n), thenumber of small squares in figure n?

A. f(n) = n + 3B. f(n) = n2 + 3C. f(n) = n + 4D. f(n) = (n + 1)2 + 2

4. The total price for a t-shirt order is afunction of the number of shirtsordered. The total cost based on thenumber of shirts ordered is shown inthe table below.

T-Shirt Cost

Which function represents the totalcost for a t-shirt order?

A. f(x) = 4x 5B. f(x) = 6x + 145C. f(x) = 4x + 195D. f(x) = 7x + 45

Year, n Amount in Account,A(n)

1 2502 250(1.07)3 250(1.07)2

4 250(1.07)3

Number ofShirts

OrderedTotal Cost

50 $395.00100 $745.00150 $1,095.00200 $1,445.00

Page 17: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #10

SPI 3102.3.1: Express a generalization of a pattern in various representationsincluding algebraic and function notation.

1. At the beginning of year 1, Judydeposits $250 in her savingsaccount, which pays 7% interestcompounded annually. She makesno other deposits or withdrawals.The amount in the account at thebeginning of each year is shown inthe table.

Which function represents A(n), the

beginning of the year n?

A. A(n) = 250B. A(n) = 250(1.07)n+1

C. A(n) = 250(1.07)n

D. A(n) = 250(1.07)n 1

2. Which function represents the linearpattern shown in the table?

x f(x)1 32 103 174 24

A. f(x) = x + 2B. f(x) = 3xC. f(x) = 7x 4D. f(x) = 5x 2

3. The first 3 figures in a pattern areshown.

Figure 1 Figure 2 Figure 3

Which function represents f(n), thenumber of small squares in figure n?

A. f(n) = n + 3B. f(n) = n2 + 3C. f(n) = n + 4D. f(n) = (n + 1)2 + 2

4. The total price for a t-shirt order is afunction of the number of shirtsordered. The total cost based on thenumber of shirts ordered is shown inthe table below.

T-Shirt Cost

Which function represents the totalcost for a t-shirt order?

A. f(x) = 4x 5B. f(x) = 6x + 145C. f(x) = 4x + 195D. f(x) = 7x + 45

Year, n Amount in Account,A(n)

1 2502 250(1.07)3 250(1.07)2

4 250(1.07)3

Number ofShirts

OrderedTotal Cost

50 $395.00100 $745.00150 $1,095.00200 $1,445.00

f(n) = n + 32

f(n) = n + 3f(n) = n + 32B. f(n) = n2 + 3

n 11D. A(n) = 250(1.07)n

C. f(x) = 7x 4

D. f(x) = 7x + 45

Page 18: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #15

SPI 3102.3.6: Interpret various relations in multiple representations.

1. This graph represents a relation.

Which set of ordered pairs is includedin this relation?

A. {(9, 3), (4, 2), (0,0), (1,1)}B. {( 3,9), ( 2,4), (0,0), (1,1)}C. {( 9,3), ( 4,2), (0,0), (1,1)}D. {(3, 9), (2, 4), (1, 1), (0,0)}

2. Which set represents the relationshown on the graph?

A. { 7, 4, 1, 2, 5, 8}B. {2, 4, 3, 1, 5, 0}C. {( 7,2), ( 4,4), ( 1,3), (2,1), (5,5), (8,0)}D. {(2, 7), (4, 4), (3, 1), (1,2), (5,5), (0,8)}

3. Observe the relation.

Which is not an equivalentrepresentation for this relation for theset of integers?

A.

B. {( 4, 4), ( 1, 1), (0,0), (2,2), (3,3)}

C.

D.x y3 32 21 10 01 12 23 3

2

1

0

1

2

0

1

2

Page 19: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #15

SPI 3102.3.6: Interpret various relations in multiple representations.

1. This graph represents a relation.

Which set of ordered pairs is includedin this relation?

A. {(9, 3), (4, 2), (0,0), (1,1)}B. {( 3,9), ( 2,4), (0,0), (1,1)}C. {( 9,3), ( 4,2), (0,0), (1,1)}D. {(3, 9), (2, 4), (1, 1), (0,0)}

2. Which set represents the relationshown on the graph?

A. { 7, 4, 1, 2, 5, 8}B. {2, 4, 3, 1, 5, 0}C. {( 7,2), ( 4,4), ( 1,3), (2,1), (5,5), (8,0)}D. {(2, 7), (4, 4), (3, 1), (1,2), (5,5), (0,8)}

3. Observe the relation.

Which is not an equivalentrepresentation for this relation for theset of integers?

A.

B. {( 4, 4), ( 1, 1), (0,0), (2,2), (3,3)}

C.

D.x y3 32 21 10 01 12 23 3

2

1

0

1

2

0

1

2

B. {( 3,9), ( 2,4), (0,0), (1,1)})}A.A.

C. {( 7,2), ( 4,4), ( 1,3), (2,1), (5,5), (8,0)}

Page 20: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #17

SPI 3102.3.8: Determine the equation of a line and/or graph a linear equation.

1. Which equation best represents thegraph of the line?

A. 3x 4y = 8B. 4x y = 3C. 3x y = 4D. 2x y = 4

2. Which equation best represents thegraph of the line?

A. y =4

3 x 1

B. y =3

4 x 1

C. y =4

3 x 1

D. y =3

4 x 1

3. Write equation best represents theline shown?

A. y = 1.25x 2B. y = 1.25x + 3C. y = 0.8x + 3D. y = 0.8x 2

4. Which of the following equations hasa slope of 3 and passes through thepoint (5, 8)?

A. 3x + y = 23B. 3x y = 23C. 3x + 5y = 8D. 5x 8y = 3

5. Which of the following equations has

a slope of7

4 and passes through

the point (14, 3)?

A. 4x + 7y = 77

B. 14x + 3y =7

4

C. 4x 7y = 77

D.7

4 x + 3y = 14

Page 21: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #17

SPI 3102.3.8: Determine the equation of a line and/or graph a linear equation.

1. Which equation best represents thegraph of the line?

A. 3x 4y = 8B. 4x y = 3C. 3x y = 4D. 2x y = 4

2. Which equation best represents thegraph of the line?

A. y =4

3 x 1

B. y =3

4 x 1

C. y =4

3 x 1

D. y =3

4 x 1

3. Write equation best represents theline shown?

A. y = 1.25x 2B. y = 1.25x + 3C. y = 0.8x + 3D. y = 0.8x 2

4. Which of the following equations hasa slope of 3 and passes through thepoint (5, 8)?

A. 3x + y = 23B. 3x y = 23C. 3x + 5y = 8D. 5x 8y = 3

5. Which of the following equations has

a slope of7

4 and passes through

the point (14, 3)?

A. 4x + 7y = 77

B. 14x + 3y =7

4

C. 4x 7y = 77

D.7

4 x + 3y = 14

C. 3x y = 4

D. y = 0.8x 2

B. 3x y = 23

3C. y = x 14

A.A. 4x + 7y = 77

Page 22: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #18

SPI 3102.3.9: Solve systems of linear equations/inequalities in two variables.

1. Which graph best represents thesolution to the system of linearinequalities?

x + y < 02y

A B

C D

2. Which ordered pair, (x, y), representsthe solution for the system ofequations?

x + 2y = 13x y = 2

A. (5, 3)B. (8, 10)C. (1, 6)D. (3, 5)

3. Which ordered pair, (x, y), representsthe solution for the system ofequations?

3x 5y = 23x 2y = 9

A. ( 4, 1)B. (1, 4)C. (11, 2)D. (13, 2)

4. Which ordered pair, (x, y), representsthe solution for the system ofequations?

3.5x + 5.5y = 40x + y = 8

A. (6, 2)B. (5, 3)C. (2, 6)D. (3, 5)

5. Which graph best represents thesolution to the system of linearinequalities?

x 36x + 3y < 12

1

A B

C D

Page 23: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #18

SPI 3102.3.9: Solve systems of linear equations/inequalities in two variables.

1. Which graph best represents thesolution to the system of linearinequalities?

x + y < 02y

A B

C D

2. Which ordered pair, (x, y), representsthe solution for the system ofequations?

x + 2y = 13x y = 2

A. (5, 3)B. (8, 10)C. (1, 6)D. (3, 5)

3. Which ordered pair, (x, y), representsthe solution for the system ofequations?

3x 5y = 23x 2y = 9

A. ( 4, 1)B. (1, 4)C. (11, 2)D. (13, 2)

4. Which ordered pair, (x, y), representsthe solution for the system ofequations?

3.5x + 5.5y = 40x + y = 8

A. (6, 2)B. (5, 3)C. (2, 6)D. (3, 5)

5. Which graph best represents thesolution to the system of linearinequalities?

x 36x + 3y < 12

1

A B

C D

C. (2, 6)

AA

D. (3, 5)CCC

B. (1, 4)4)

Page 24: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #19

SPI 3102.3.10: Find the solution of a quadratic equation and/or zeros of aquadratic function.

1. Which values of x make the equationtrue?

x2 + 4x 21 = 0

A. 3 and 7B. 7 and 3C. 3 and 7D. 7 and 3

2. Solve x2 3 = 8x 19

A. 4B. 2C. 2D. 4

3. Solve x2 6x + 3 = 0

A.B.C.D.

4. Which values of x make the equationtrue?

x2 10x + 15 = 3x 15

A. 3 and 10B. 3 and 10C. 5 and 6D. 5 and 6

5. Which values of x make the equationtrue?

2x2 + 11x 21 = 0

A. 7 and 3

B.2

3 and 7

C. 3 and 7

D. 7 and2

3

6. Solve x2 + 3 = 4x + 35

A. 7 and 5B. 7 and 5C. 8 and 4D. 8 and 4

7. Solve x2 + 10x + 15 = 0.

A.B.C.D.

8. Which value of x makes the equationtrue?

3x2 + 14x + 5 = 0

A. 5 and

B. 5 and

C. 3 and 5D. 3 and 5

Page 25: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #19

SPI 3102.3.10: Find the solution of a quadratic equation and/or zeros of aquadratic function.

1. Which values of x make the equationtrue?

x2 + 4x 21 = 0

A. 3 and 7B. 7 and 3C. 3 and 7D. 7 and 3

2. Solve x2 3 = 8x 19

A. 4B. 2C. 2D. 4

3. Solve x2 6x + 3 = 0

A.B.C.D.

4. Which values of x make the equationtrue?

x2 10x + 15 = 3x 15

A. 3 and 10B. 3 and 10C. 5 and 6D. 5 and 6

5. Which values of x make the equationtrue?

2x2 + 11x 21 = 0

A. 7 and 3

B.2

3 and 7

C. 3 and 7

D. 7 and2

3

6. Solve x2 + 3 = 4x + 35

A. 7 and 5B. 7 and 5C. 8 and 4D. 8 and 4

7. Solve x2 + 10x + 15 = 0.

A.B.C.D.

8. Which value of x makes the equationtrue?

3x2 + 14x + 5 = 0

A. 5 and

B. 5 and

C. 3 and 5D. 3 and 5

B. 7 and 3

D. 7 and2

3

D. 4C. 8 and 4

C.D.

A.A. 3 and 10 A.A. 5 and

Page 26: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #20

SPI 3102.3.11: Analyze nonlinear graphs including quadratic and exponentialfunctions that model a contextual situation.

1. The graph represents a functionrelated to movement overtime.

TIMEWhich function could this graphrepresent?

A. The speed of a runner as hedecreases his rate ofacceleration.

B. The speed of a runner as heslows down when approachingthe finish line.

C. The distance of the runner fromthe start line as he accelerates.

D. The distance of the runner as heapproaches the finish line at aconstant speed.

2. The graph shows the growth in abacterial culture over a period ofthree days.

Bacterial Culture

DAYS

Which best describes the number ofbacteria on the third day?

A. Greater than or equal to 100,000B. Less than or equal to 100,000C. About 90,000D. About 1,000,000

3. A NFL kicker attempts a 45 yard fieldgoal. The path of the football towardthe uprights can be represented bythe graph of a quadratic function.The vertical distance, d in feet, of thefootball as it travels over time t, isrepresented by the parabola shownbelow.

Field Goal

Time (seconds)

Once the football has traveled 1second, in how many more secondsdoes it return to the same height?

A. 1.75B. 3.00C. 4.75D. 3.75

Page 27: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #20

SPI 3102.3.11: Analyze nonlinear graphs including quadratic and exponentialfunctions that model a contextual situation.

1. The graph represents a functionrelated to movement overtime.

TIMEWhich function could this graphrepresent?

A. The speed of a runner as hedecreases his rate ofacceleration.

B. The speed of a runner as heslows down when approachingthe finish line.

C. The distance of the runner fromthe start line as he accelerates.

D. The distance of the runner as heapproaches the finish line at aconstant speed.

2. The graph shows the growth in abacterial culture over a period ofthree days.

Bacterial Culture

DAYS

Which best describes the number ofbacteria on the third day?

A. Greater than or equal to 100,000B. Less than or equal to 100,000C. About 90,000D. About 1,000,000

3. A NFL kicker attempts a 45 yard fieldgoal. The path of the football towardthe uprights can be represented bythe graph of a quadratic function.The vertical distance, d in feet, of thefootball as it travels over time t, isrepresented by the parabola shownbelow.

Field Goal

Time (seconds)

Once the football has traveled 1second, in how many more secondsdoes it return to the same height?

A. 1.75B. 3.00C. 4.75D. 3.75

A.A. Greater than or equal to 100,000

C. The distance of the runner fromthe start line as he accelerates.

D. 3.75

Page 28: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

12 ft

x

14 ft

24 ft

Algebra I EOC Practice #22

SPI 3102.4.2: Solve contextual problems using the Pythagorean Theorem.

1. Joe plays third base, and Billy playsfirst base for their baseball team. IfJoe and Bill are both standing ontheir respective bases, how long is athrow from Joe to Bill? A baseballdiamond is a square with 90 feetbetween each of the bases.

A. 360 feetB. 127.28 feetC. 180.56 feetD. 90 feet

2. In order to go to school each day,Julie walks about 3 miles west fromher home on Patriot Avenue, thenshe walks south along JeffersonStreet to the front of her school. Sheknows that the shortest distance fromher home to the front of the school isabout 9 miles (as the crow flies).How far does she walk alongJefferson Street each school day?

A. 3.2 milesB. 6 milesC. 8.5 milesD. 9.7 miles

tent. The slanted sides are both 5feet long, and the bottom of thehouse is 8 feet across. What is theheight of the doghouse, in feet, at itstallest point?

A. 3 feetB. 4 feetC. 5 feetD. 6 feet

4. David was locked out of his house,but he noticed that there was anopen window on the second floor,which is 25 feet above ground level.David borrowed a ladder from one ofhis neighbors. Since there is a shrubalong the edge of the house, Davidwill have to place the base of theladder 10 feet from the house. Whatlength ladder must David have inorder to reach the window?

A. 17 feetB. 23 feetC. 27 feetD. 33 feet

5. The diagram below shows thedimensions of Jgarden. What is the dimension,in feet (ft), represented by x?

A. 5.92 feetB. 8.62 feetC. 10.35 feetD. 11.18 feet

8

55x

7 ft

Page 29: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

12 ft

x

14 ft

24 ft

Algebra I EOC Practice #22

SPI 3102.4.2: Solve contextual problems using the Pythagorean Theorem.

1. Joe plays third base, and Billy playsfirst base for their baseball team. IfJoe and Bill are both standing ontheir respective bases, how long is athrow from Joe to Bill? A baseballdiamond is a square with 90 feetbetween each of the bases.

A. 360 feetB. 127.28 feetC. 180.56 feetD. 90 feet

2. In order to go to school each day,Julie walks about 3 miles west fromher home on Patriot Avenue, thenshe walks south along JeffersonStreet to the front of her school. Sheknows that the shortest distance fromher home to the front of the school isabout 9 miles (as the crow flies).How far does she walk alongJefferson Street each school day?

A. 3.2 milesB. 6 milesC. 8.5 milesD. 9.7 miles

tent. The slanted sides are both 5feet long, and the bottom of thehouse is 8 feet across. What is theheight of the doghouse, in feet, at itstallest point?

A. 3 feetB. 4 feetC. 5 feetD. 6 feet

4. David was locked out of his house,but he noticed that there was anopen window on the second floor,which is 25 feet above ground level.David borrowed a ladder from one ofhis neighbors. Since there is a shrubalong the edge of the house, Davidwill have to place the base of theladder 10 feet from the house. Whatlength ladder must David have inorder to reach the window?

A. 17 feetB. 23 feetC. 27 feetD. 33 feet

5. The diagram below shows thedimensions of Jgarden. What is the dimension,in feet (ft), represented by x?

A. 5.92 feetB. 8.62 feetC. 10.35 feetD. 11.18 feet

8

55x

7 ft

B. 127.28 feet

C. 27 feet

C. 8.5 miles

D. 11.18 feet

A.A. 3 feet

Page 30: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Accident

JeffersonHospital

MercyHospital

Algebra I EOC Practice #23

SPI 3102.4.3: Solve problems involving the distance between points or midpointof a segment.

1. What is the length of a segmentwhose endpoints are (5, 8) and(9, 2)?

A. 116B.C. 29 2

D.

2. What are the coordinates of themidpoint of a line segment withendpoints (8, 11) and ( 12, 5)?

A. (10, 8)B. ( 2, 8)C. ( 4, 16)D. ( 2, 16)

3. Which value is closest to theperimeter of GHJ, in units?

A. 8B. 15C. 19D. 23

4. An EMS helicopter is stationed atMercy Hospital, which is 4 miles westand 2 miles north of an automobileaccident. Another EMS helicopter isstationed at Jefferson Hospital, whichis 3 miles east and 3 miles north ofthe accident. Which statement belowis correct?

A. Mercy Hospital is 0.23 milescloser to the accident.

B. Mercy Hospital is 8.71 milescloser to the accident.

C. Jefferson Hospital is 0.23 milescloser to the accident.

D. Jefferson Hospital is 8.71 milescloser to the accident.

5. What is the distance between the twopoints on the graph below?

A. 3.6 unitsB. 6.4 unitsC. 7.1 unitsD. 5.5 units

J

G H

Page 31: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Accident

JeffersonHospital

MercyHospital

Algebra I EOC Practice #23

SPI 3102.4.3: Solve problems involving the distance between points or midpointof a segment.

1. What is the length of a segmentwhose endpoints are (5, 8) and(9, 2)?

A. 116B.C. 29 2

D.

2. What are the coordinates of themidpoint of a line segment withendpoints (8, 11) and ( 12, 5)?

A. (10, 8)B. ( 2, 8)C. ( 4, 16)D. ( 2, 16)

3. Which value is closest to theperimeter of GHJ, in units?

A. 8B. 15C. 19D. 23

4. An EMS helicopter is stationed atMercy Hospital, which is 4 miles westand 2 miles north of an automobileaccident. Another EMS helicopter isstationed at Jefferson Hospital, whichis 3 miles east and 3 miles north ofthe accident. Which statement belowis correct?

A. Mercy Hospital is 0.23 milescloser to the accident.

B. Mercy Hospital is 8.71 milescloser to the accident.

C. Jefferson Hospital is 0.23 milescloser to the accident.

D. Jefferson Hospital is 8.71 milescloser to the accident.

5. What is the distance between the twopoints on the graph below?

A. 3.6 unitsB. 6.4 unitsC. 7.1 unitsD. 5.5 units

J

G H

D.

B. ( 2, 8)

C. Jefferson Hospital is 0.23 milescloser to the accident.

C. 19 B. 6.4 units

Page 32: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #24

SPI 3102.4.4: Convert rates and measurements.

1. A 2-ounce package of ham costs$1.29. Which is closest to the costper pound?

A. $0.65B. $2.58C. $5.16D. $10.32

2. Tyler can run a mile in 5½ minutes.Which is closest to this rate in feetper minute?

A. 5,280B. 2,640C. 1,320D. 960

3. Laura can pressure wash herdriveway at an average rate of 15square feet per minute. Which isclosest to this rate in square yardsper second?

A. 0.35B. 0.24C. 0.03D. 0.01

4. Which number correctly completesthis equation?

6 square feet = _____ square inches

A. 72B. 144C. 864D. 1,728

5. Which number correctly completesthis equation?

12 square yards = _____ square feet

A. 108B. 144C. 12D. 36

6. One type of decorative ribbonregularly costs $3.59 per yard. Whenthe ribbon is on sale, it costs $2.19per yard. Which is the closest to thedifference in the cost per inch for theribbon when it on sale compared toits regular price?

A. 1.9 cents per inchB. 3.8 cents per inchC. 11.6 cents per inchD. 16.06 cents per inch

7. Which number correctly completesthis equation?

6 square yards = ____ square inches

A. 7,776B. 1,728C. 648D. 216

Page 33: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #24

SPI 3102.4.4: Convert rates and measurements.

1. A 2-ounce package of ham costs$1.29. Which is closest to the costper pound?

A. $0.65B. $2.58C. $5.16D. $10.32

2. Tyler can run a mile in 5½ minutes.Which is closest to this rate in feetper minute?

A. 5,280B. 2,640C. 1,320D. 960

3. Laura can pressure wash herdriveway at an average rate of 15square feet per minute. Which isclosest to this rate in square yardsper second?

A. 0.35B. 0.24C. 0.03D. 0.01

4. Which number correctly completesthis equation?

6 square feet = _____ square inches

A. 72B. 144C. 864D. 1,728

5. Which number correctly completesthis equation?

12 square yards = _____ square feet

A. 108B. 144C. 12D. 36

6. One type of decorative ribbonregularly costs $3.59 per yard. Whenthe ribbon is on sale, it costs $2.19per yard. Which is the closest to thedifference in the cost per inch for theribbon when it on sale compared toits regular price?

A. 1.9 cents per inchB. 3.8 cents per inchC. 11.6 cents per inchD. 16.06 cents per inch

7. Which number correctly completesthis equation?

6 square yards = ____ square inches

A. 7,776B. 1,728C. 648D. 216

D. $10.32A.A. 108

D. 960

B. 3.8 cents per inch

C. 0.03

A. 7,776A. 7,776

C. 864

Page 34: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #25

SPI 3102.5.1: Interpret displays of data to answer questions about the data set(s)(e.g., identify pattern, trends, and/or outliers in a data set.)

What is a reasonable estimate of the value of the watch in 2002?

A. 14,100B. 13, 500C. 12, 500D. 12, 000

Music Store.

A. 9B. 10C. 25D. 40

Page 35: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

3. The average rainfall, over a period of years, is shown in thegraph below.

A. 8.1 inchesB. 4.7 inchesC. 5.9 inchesD. 9.8 inches

Page 36: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

4. A total of 400 students were surveyed about their favorite color. The circle graphshows the percentage of each color students chose.

Which statement is NOT supported by the data displayed in the graph?

A A little more than half the students chose either blue, orange, or green astheir favorite color.

B Green was chosen as the favorite color by more than half the number ofstudents as purple.

C Blue was the favorite color of 29 students.D Yellow and pink combined were chosen by more students than

orange.

Page 37: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #25

SPI 3102.5.1: Interpret displays of data to answer questions about the data set(s)(e.g., identify pattern, trends, and/or outliers in a data set.)

What is a reasonable estimate of the value of the watch in 2002?

A. 14,100B. 13, 500C. 12, 500D. 12, 000

Music Store.

A. 9B. 10C. 25D. 40

B. 13, 500

D. 40D. 40

Page 38: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

3. The average rainfall, over a period of years, is shown in thegraph below.

A. 8.1 inchesB. 4.7 inchesC. 5.9 inchesD. 9.8 inches

A. 8.1 inchesA. 8.1 inches

Page 39: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

4. A total of 400 students were surveyed about their favorite color. The circle graphshows the percentage of each color students chose.

Which statement is NOT supported by the data displayed in the graph?

A A little more than half the students chose either blue, orange, or green astheir favorite color.

B Green was chosen as the favorite color by more than half the number ofstudents as purple.

C Blue was the favorite color of 29 students.D Yellow and pink combined were chosen by more students than

orange.

C Blue was the favorite color of 29 students.C Blue was the favorite color of 29 students.

Page 40: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #26

SPI 3102.5.2: Identify the effect on mean, median, mode, and range when valuesin the data set are changed.

1. The mean amount of applespurchased at a grocery store daily is108 apples. What is the new mean ifthe amount of apples purchasedtriples?

A. 108B. 216C. 324D. There will not be a change.

2. Vanessa has 17 quarters, 8 dimes,15 pennies, and 14 nickels in a piggybank. Which of the followingmeasures of central tendency willchange if she spends 4 quarters toget a soft drink?

A. meanB. medianC. modeD. None will change.

3. The range of a set of data is 15. Ifeach member of this set is multipliedby 2, what is the range of the new setof data?

A. 15B. 30C. 45D. 225

4. Julie has a data set for which themean is 41. Each value of the dataset is multiplied by 7. What is themean for the new data set?

A. 287B. 144C. 41D. 7

5. Manuel observes that students in hisclassroom purchase drinks in thecafeteria as follows:

7 chocolate milks, 8 sport drinks, 5waters, 4 white milks, and 4 juices

Two students are added to the class,and they both choose juice. Howdoes that affect the median?

A. It will not affect the median.B. There is not a medianC. The number of juice drinks will

double.D. The median will be 6.

6. Mike runs an average of 2 miles perday. He is going to begin training forcross-country and wants to doublethe amount he runs per day. Howwill this affect the average amount heruns?

A. There will be no change in hisaverage.

B. His distance will increase by 2miles per day.

C. His average will double.D. His average distance will

increase by 3 miles.

7. This set of data shows the scoresthat Tyler earned on his last 7Algebra I tests. If the two lowestscores are dropped, which statementis true?

{97, 88, 93, 100, 85, 90, 80}

A. The mean will increase by 5 pts.B. The median will increase by 3 pts.C. The range will decrease by 8 pts.D. The mean will increase by 7 pts.

Page 41: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #26

SPI 3102.5.2: Identify the effect on mean, median, mode, and range when valuesin the data set are changed.

1. The mean amount of applespurchased at a grocery store daily is108 apples. What is the new mean ifthe amount of apples purchasedtriples?

A. 108B. 216C. 324D. There will not be a change.

2. Vanessa has 17 quarters, 8 dimes,15 pennies, and 14 nickels in a piggybank. Which of the followingmeasures of central tendency willchange if she spends 4 quarters toget a soft drink?

A. meanB. medianC. modeD. None will change.

3. The range of a set of data is 15. Ifeach member of this set is multipliedby 2, what is the range of the new setof data?

A. 15B. 30C. 45D. 225

4. Julie has a data set for which themean is 41. Each value of the dataset is multiplied by 7. What is themean for the new data set?

A. 287B. 144C. 41D. 7

5. Manuel observes that students in hisclassroom purchase drinks in thecafeteria as follows:

7 chocolate milks, 8 sport drinks, 5waters, 4 white milks, and 4 juices

Two students are added to the class,and they both choose juice. Howdoes that affect the median?

A. It will not affect the median.B. There is not a medianC. The number of juice drinks will

double.D. The median will be 6.

6. Mike runs an average of 2 miles perday. He is going to begin training forcross-country and wants to doublethe amount he runs per day. Howwill this affect the average amount heruns?

A. There will be no change in hisaverage.

B. His distance will increase by 2miles per day.

C. His average will double.D. His average distance will

increase by 3 miles.

7. This set of data shows the scoresthat Tyler earned on his last 7Algebra I tests. If the two lowestscores are dropped, which statementis true?

{97, 88, 93, 100, 85, 90, 80}

A. The mean will increase by 5 pts.B. The median will increase by 3 pts.C. The range will decrease by 8 pts.D. The mean will increase by 7 pts.

C. 324

D. The median will be 6.

C. mode

B. 30

C. His average will double.

A. 287A. 287B. The median will increase by 3 pts.

Page 42: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #27

SPI 3102.5.3: Using a scatterplot, determine if a linear relationship exists anddescribe the association between variables.

1. Which scatterplot best represents apositive linear relationship betweenthe variables x and y?

A. B.

C. D.

2. What type of correlation is shown inthe scatterplot below?

A. Positive correlationB. Negative correlationC. No correlationD. Random correlation

3. Which graph best shows a negativelinear relationship between variablesx and y?

A. B.

C. D.

4. What type of correlation is shown inthe scatterplot below?

A. Positive correlationB. Negative correlationC. No correlationD. Random correlation

Page 43: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #27

SPI 3102.5.3: Using a scatterplot, determine if a linear relationship exists anddescribe the association between variables.

1. Which scatterplot best represents apositive linear relationship betweenthe variables x and y?

A. B.

C. D.

2. What type of correlation is shown inthe scatterplot below?

A. Positive correlationB. Negative correlationC. No correlationD. Random correlation

3. Which graph best shows a negativelinear relationship between variablesx and y?

A. B.

C. D.

4. What type of correlation is shown inthe scatterplot below?

A. Positive correlationB. Negative correlationC. No correlationD. Random correlation

B.

D.

C. No correlation

A.A. Positive correlation

Page 44: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #28

SPI 3102.5.4: Generate the equation of a line that fits linear data and use it tomake a prediction.

This chart shows the price ofvegetable and fruit platters.

Platter Weight Price

1 lb. $2.10

2 lb. $3.60

3 lb. $5.10

4 lb. $6.60

5 lb. $8.10

1. Write an equation forthe cost of a platter thatweighs w lbs.

A. P = .60w + 1.50B. P = (.60 + 1.50)wCC.. PP == 11..5500ww ++ ..6600D. P = .60(w + 1.50)

2. How much would a6 lb. platter cost?

A. $12.20B. $9.60C. $8.70D. $7.50

3. How much would a10 lb. platter cost?

A. $15.00B. $16.50C. $13.50D. $15.60

A phone company charges $17.50 permonth and 12¢ for each additionalminute. The chart below shows thecost per 100 minutes.

Additional Minutes Cost0 $17.50

100 $29.50

200 $41.50

300 $53.50

400 $65.50

4. Write a linear equation for thecharge in terms of the numberof minutes.Let C = charge in dollarsLet m = # of minutes

A. C = $17.50 + 12.00mB. C = $17.50m + 100C. C = $17.50 + 0.12mD. C = ($17.50 + 0.12)m

5. What would be the monthlycharge if the customer uses 700additional minutes?

A. $113.50B. $101.50C. $89.50D. $77.50

Page 45: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #28

SPI 3102.5.4: Generate the equation of a line that fits linear data and use it tomake a prediction.

This chart shows the price ofvegetable and fruit platters.

Platter Weight Price

1 lb. $2.10

2 lb. $3.60

3 lb. $5.10

4 lb. $6.60

5 lb. $8.10

1. Write an equation forthe cost of a platter thatweighs w lbs.

A. P = .60w + 1.50B. P = (.60 + 1.50)wCC.. PP == 11..5500ww ++ ..6600D. P = .60(w + 1.50)

2. How much would a6 lb. platter cost?

A. $12.20B. $9.60C. $8.70D. $7.50

3. How much would a10 lb. platter cost?

A. $15.00B. $16.50C. $13.50D. $15.60

A phone company charges $17.50 permonth and 12¢ for each additionalminute. The chart below shows thecost per 100 minutes.

Additional Minutes Cost0 $17.50

100 $29.50

200 $41.50

300 $53.50

400 $65.50

4. Write a linear equation for thecharge in terms of the numberof minutes.Let C = charge in dollarsLet m = # of minutes

A. C = $17.50 + 12.00mB. C = $17.50m + 100C. C = $17.50 + 0.12mD. C = ($17.50 + 0.12)m

5. What would be the monthlycharge if the customer uses 700additional minutes?

A. $113.50B. $101.50C. $89.50D. $77.50

CCCC.... PPPP ==== 1111....5555005500ww00ww ++++ ....666600000

C. C = $17.50 + 0.12m

B. $9.60

B. $101.50

D. $15.60

Page 46: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #29

SPI 3102.5.5: Determine theoretical and/or experimental probability of an eventand/or its complement including using relative frequency.

1. This table shows the number ofstudents from each grade level whoearned at least tfirst nine weeks grading period.

GradeLevel

Number ofStudents

9 32410 28311 26112 294

One student will be randomlyselected from this group of studentsto win the grand prize in theacademic incentive program. Whichis closest to the probability that thestudent selected will be a freshmanor sophomore?

A. O.24B. 0.28C. 0.48D. 0.52

2. Joe is playing a computer tic-tac-toegame. This table shows the results.

Tic-Tac-Toe ResultsResult Frequency

Joe Wins 8Computer Wins 7Tie (Cat) 9

What is the experimental probabilitythat Joe will win?

A.

B.

C.

D. 2

3

3. Twenty-three colored slips of paperare placed in a box for a drawing.Anyone wearing a shirt that matchesthe slip drawn will be eligible for aprize. There are 9 blue slips, 7 redslips, 4 yellow slips, and 3 greenslips.

What is the probability that the firstslip of paper drawn from the box isnot red?

A. 7

23

B. 16

23

C. 9

23

D. 14

23

4. This table shows the number of cans

Flavor Number ofCans

Potato 2Vegetable 6Chicken Noodle 8Broccoli Cheese 4

If Debbie randomly selects a can ofsoup to fix for lunch, what is theprobability that the can selected willbe vegetable or broccoli cheese?

A.

B. 1

10

C. 1

2

C. 7

10

Page 47: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #29

SPI 3102.5.5: Determine theoretical and/or experimental probability of an eventand/or its complement including using relative frequency.

1. This table shows the number ofstudents from each grade level whoearned at least tfirst nine weeks grading period.

GradeLevel

Number ofStudents

9 32410 28311 26112 294

One student will be randomlyselected from this group of studentsto win the grand prize in theacademic incentive program. Whichis closest to the probability that thestudent selected will be a freshmanor sophomore?

A. O.24B. 0.28C. 0.48D. 0.52

2. Joe is playing a computer tic-tac-toegame. This table shows the results.

Tic-Tac-Toe ResultsResult Frequency

Joe Wins 8Computer Wins 7Tie (Cat) 9

What is the experimental probabilitythat Joe will win?

A.

B.

C.

D. 2

3

3. Twenty-three colored slips of paperare placed in a box for a drawing.Anyone wearing a shirt that matchesthe slip drawn will be eligible for aprize. There are 9 blue slips, 7 redslips, 4 yellow slips, and 3 greenslips.

What is the probability that the firstslip of paper drawn from the box isnot red?

A. 7

23

B. 16

23

C. 9

23

D. 14

23

4. This table shows the number of cans

Flavor Number ofCans

Potato 2Vegetable 6Chicken Noodle 8Broccoli Cheese 4

If Debbie randomly selects a can ofsoup to fix for lunch, what is theprobability that the can selected willbe vegetable or broccoli cheese?

A.

B. 1

10

C. 1

2

C. 7

10

16B.23

D. 0.52

C. 1C.2

Page 48: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #2

SPI 3102.1.2: Write an equation symbolically to express a contextual problem.

1. Trevor Benjamin is a salespersonwho is paid a monthly salary of $500plus 2% commission on sales. Write

monthly salary.

A. S = 2x + 500B. S = 500x + .02C. S = .02x + 500D. S = .05x + 2

For questions 2 and 3, use the followinginformation.

Dollywood first opened in 1961 as a

Railrchanges, Dolly Parton became co-owner in 1986 and the park was

2. Let y represent the number of yearsafter 1961 that the park wasrenamed Dollywood. Write anexpression for the year the park wasrenamed.

A. 1961 - yB. 1986 - yC. 1961 + yD. 1986 + y

3. Write an equation to represent theyear the park was renamed.

A. 1961 + y = 1986B. 1986 + y = 1961C. y - 1961 = 1986D. y 1986 = 1961

4. Mrs. Doubtfire is planning to place afence around her backyard. Thefencing costs $1.95 per yard. Shebuys f yards of fencing and pays$3.50 in tax. If the total cost of thefencing is $81.50, write an equationto represent the situation.

A. 3.50f + 1.95 = 81.50B. 1.95f + 3.50 = 81.50C. 1.95 f - 3.50 = 81.50D. 3.50f 1.95 = 81.50

5. During a one-hour episode ofNumb3rs, the entertainment portionlasted 15 minutes longer than 4times the advertising portion. If arepresents the time spent onadvertising, write an equation torepresent the situation.

A. 4a + 15 = 60B. 4(a + 15) = 60C. a(4a + 15) = 60D. a + (4a + 15) = 60

6. Karen works for $6 an hour. A total of25% of her salary is deducted fortaxes and insurance. She is trying tosave $450 for a new car stereo andspeakers. Write an equation torepresent how many hours Karenmust work to take home $450 if shesaves all of her earnings.

A. 6h 0.25(6h) = 450B. 6h 0.25h = 450C. 6(0.25h) = 450D. 450 + 6h = 0.25(6h)

Page 49: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #2

SPI 3102.1.2: Write an equation symbolically to express a contextual problem.

1. Trevor Benjamin is a salespersonwho is paid a monthly salary of $500plus 2% commission on sales. Write

monthly salary.

A. S = 2x + 500B. S = 500x + .02C. S = .02x + 500D. S = .05x + 2

For questions 2 and 3, use the followinginformation.

Dollywood first opened in 1961 as a

Railrchanges, Dolly Parton became co-owner in 1986 and the park was

2. Let y represent the number of yearsafter 1961 that the park wasrenamed Dollywood. Write anexpression for the year the park wasrenamed.

A. 1961 - yB. 1986 - yC. 1961 + yD. 1986 + y

3. Write an equation to represent theyear the park was renamed.

A. 1961 + y = 1986B. 1986 + y = 1961C. y - 1961 = 1986D. y 1986 = 1961

4. Mrs. Doubtfire is planning to place afence around her backyard. Thefencing costs $1.95 per yard. Shebuys f yards of fencing and pays$3.50 in tax. If the total cost of thefencing is $81.50, write an equationto represent the situation.

A. 3.50f + 1.95 = 81.50B. 1.95f + 3.50 = 81.50C. 1.95 f - 3.50 = 81.50D. 3.50f 1.95 = 81.50

5. During a one-hour episode ofNumb3rs, the entertainment portionlasted 15 minutes longer than 4times the advertising portion. If arepresents the time spent onadvertising, write an equation torepresent the situation.

A. 4a + 15 = 60B. 4(a + 15) = 60C. a(4a + 15) = 60D. a + (4a + 15) = 60

6. Karen works for $6 an hour. A total of25% of her salary is deducted fortaxes and insurance. She is trying tosave $450 for a new car stereo andspeakers. Write an equation torepresent how many hours Karenmust work to take home $450 if shesaves all of her earnings.

A. 6h 0.25(6h) = 450B. 6h 0.25h = 450C. 6(0.25h) = 450D. 450 + 6h = 0.25(6h)

C. S = .02x + 500C. S = .02x + 500B. 1.95f + 3.50 = 81.50B. 1.95f + 3.50 = 81.50

D. a + (4a + 15) = 60D. a + (4a + 15) = 60D. a + (4a + 15) = 60

C. 1961 + yC. 1961 + yC. 1961 + y

A. 1961 + y = 1986A. 1961 + y = 1986A. 1961 + y = 1986 A. 6hA. 6h 0.25(6h) = 450

Page 50: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #3

SPI 3102.1.3 Apply properties to evaluate expressions, simplify expressions, andjustify solutions to problems.

1. Simplify: 3(x 2y) + 7(x + 3y) 3y

A. 4x 30yB. 10x + 12yC. 6x + 12yD. 7x 10y

2. Simplify: 4(2x 3y) + 4x 2(x + 6)

A. 6xB. 6x + 24yC. 12y 12D. 6x + 12y 12

3. If x = 2, y = 5, and z = 3, evaluatethe following expression.

x4 5y + 2(x z)2

A. 50B. 41C. 41D. 63

4. Simplify: 5x6(2x4 x3 + 7x2 4x)

A. 10x10 5x9 + 35x8 20x7

B. 10x24 5x18 + 35x12 20x6

C. 7x24 4x18 + 12x12 + x6

D. 20x34

5. If x = 4 and y = 8, evaluate thefollowing expression.

32

A. 1544B. 1500C. 200D. 1540

6. Identify the property used to simplifythe following expression.

3(x 7) = 3x 21

A. Associative Property of AdditionB. Commutative Property of AdditionC. Distributive PropertyD. Identity Property of Addition

7. What is the value of the expressionwhen x = 6 and y = 4?

8xy2 5x2

A. 948B. 588C. 324D. 36,864

8. David wants to buy a new bicyclethat cost $295 before a 40%discount. He finds the cost after thediscount, in dollars, by evaluating295 295(0.40). His brother Michaelfinds the same cost by evaluating295(1 0.40). What property can beused to justify that these twoexpressions represent the same costafter the discount?

A. associative propertyB. commutative propertyC. distributive propertyD. subtraction property of equality

Page 51: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #3

SPI 3102.1.3 Apply properties to evaluate expressions, simplify expressions, andjustify solutions to problems.

1. Simplify: 3(x 2y) + 7(x + 3y) 3y

A. 4x 30yB. 10x + 12yC. 6x + 12yD. 7x 10y

2. Simplify: 4(2x 3y) + 4x 2(x + 6)

A. 6xB. 6x + 24yC. 12y 12D. 6x + 12y 12

3. If x = 2, y = 5, and z = 3, evaluatethe following expression.

x4 5y + 2(x z)2

A. 50B. 41C. 41D. 63

4. Simplify: 5x6(2x4 x3 + 7x2 4x)

A. 10x10 5x9 + 35x8 20x7

B. 10x24 5x18 + 35x12 20x6

C. 7x24 4x18 + 12x12 + x6

D. 20x34

5. If x = 4 and y = 8, evaluate thefollowing expression.

32

A. 1544B. 1500C. 200D. 1540

6. Identify the property used to simplifythe following expression.

3(x 7) = 3x 21

A. Associative Property of AdditionB. Commutative Property of AdditionC. Distributive PropertyD. Identity Property of Addition

7. What is the value of the expressionwhen x = 6 and y = 4?

8xy2 5x2

A. 948B. 588C. 324D. 36,864

8. David wants to buy a new bicyclethat cost $295 before a 40%discount. He finds the cost after thediscount, in dollars, by evaluating295 295(0.40). His brother Michaelfinds the same cost by evaluating295(1 0.40). What property can beused to justify that these twoexpressions represent the same costafter the discount?

A. associative propertyB. commutative propertyC. distributive propertyD. subtraction property of equality

B. 10x + 12y

C. Distributive Property

D. 6x + 12y 12

B. 588

C. 41

1010 99 88 77A. 10xA. 10x10A. 10xA. 10x24

5x9 + 35x8+ 35x+ 35x 20x720x20x18 12

C. distributive property

A. 1544A. 1544

Page 52: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #9

SPI 3102.2.3: Describe and/or order a given set of real numbers including bothrational and irrational numbers.

For questions 1 and 2, name the set orsets of numbers to which each realnumber belongs.

1. 28

A. irrationalsB. rationalsC. naturals, wholes, integers, rationalsD. integers, rationals

2.6

54

A. irrationalsB. rationalsC. naturals, wholes, integers, rationalsD. integers, rationals

3. Write the following numbers in orderfrom greatest to least.

3

7, , 0.46, 5

6

A. 3

7, 0.46, 5

6,

B. , 3

7, 0.46, 5

6

C. , 0.46, 3

7, 5

6

D. , 0.46, 5

6, 3

7

make the sentence7

3

7

3 true.

A. >B. <C. =D. ~

5. Which statement best describes thevalues of the numbers in this set?

11

81,

8

49,

5

36

A. They are less than 1.B. They are between 1 and 2.C. They are between 2 and 3.D. They are between 3 and 4.5.

For questions 5 and 6, write each set ofnumbers in order from least to greatest.

6. , 0.18, 0. ,5

4

A. , 0.18, 0. ,5

4

B. 0.18, 0. ,5

4 ,

C.5

4 , , 0.18, 0.

D. , 0. , 0.18,5

4

7. , 9 ,

A. 9 , ,

B. , 9 ,

C. , 9 ,

D. , , 9

Page 53: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #9

SPI 3102.2.3: Describe and/or order a given set of real numbers including bothrational and irrational numbers.

For questions 1 and 2, name the set orsets of numbers to which each realnumber belongs.

1. 28

A. irrationalsB. rationalsC. naturals, wholes, integers, rationalsD. integers, rationals

2.6

54

A. irrationalsB. rationalsC. naturals, wholes, integers, rationalsD. integers, rationals

3. Write the following numbers in orderfrom greatest to least.

3

7, , 0.46, 5

6

A. 3

7, 0.46, 5

6,

B. , 3

7, 0.46, 5

6

C. , 0.46, 3

7, 5

6

D. , 0.46, 5

6, 3

7

make the sentence7

3

7

3 true.

A. >B. <C. =D. ~

5. Which statement best describes thevalues of the numbers in this set?

11

81,

8

49,

5

36

A. They are less than 1.B. They are between 1 and 2.C. They are between 2 and 3.D. They are between 3 and 4.5.

For questions 5 and 6, write each set ofnumbers in order from least to greatest.

6. , 0.18, 0. ,5

4

A. , 0.18, 0. ,5

4

B. 0.18, 0. ,5

4 ,

C.5

4 , , 0.18, 0.

D. , 0. , 0.18,5

4

7. , 9 ,

A. 9 , ,

B. , 9 ,

C. , 9 ,

D. , , 9

C. They are between 2 and 3.D. integers, rationalsD. integers, rationals

C. naturals, wholes, integers, rationals

4B. 0.18, 0.B. 0.18, 0. , ,5

3 5C. , 0.46, ,7

A.A. 9 , ,

B. <B. <

Page 54: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #11

SPI 3102.3.2 Operate with polynomials and simplify results.

1. The length and width of rectangulargarden are represented in the figureshown.

Which equation represents the area(A) of the garden in terms of x?

A. A = 3x + 3B. A = 2x2 + 6xC. A = 2x + 5D. A = 8x

2. The length and width of rectangularpool are represented in the figureshown.

A. 4x + x + 1B. 3x2 + xC. 5x + 1D. 3x 1

3. The length and width of rectangulargarden are represented in the figureshown.

Which equation represents theperimeter (P) of the garden in termsof x?

A. P = 6x2 + 2B. P = 4xC. P = 6x + 2D. P = 6x2

4. The length and width of rectangulargarden are represented in the figureshown. Which expressionrepresents the perimeter of thegarden?

A. 6x2 4xB. 6x2 + 4x 24C. 6x2

D. 3x2 + 2x 12

x+3

A=l w

2x

3x + 1

x

A=l w

2x

x + 1

P = 2l + 2w

x2 + 2x - 6

2x2 6

P = 2l + 2w

Page 55: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

5. Simplify: (2x2 6x + 3) + (2x 7)

A. 2x2 9xB. 2x2 4x 4C. 2x2 + 4x + 10D. 2x2 9x + 4

6. Simplify: 4x3y5(8x2y + 4xy2 10x7y5

A. 32x6y5 + 16x3y10 40x21y25

B. 32xy + 16xy 40xyC. 32x5y6 + 16x4y7 40x10y10

D. 30xy 16xy + 10xy

7. Simplify: (x + y)(x + y)

A. x2 + 2xy + y2

B. x2 + y2

C. 2x2 + 2xy + 2y2

D. x2 y2

8. Which is an equivalent form for allvalues of x, y, and z for which theexpression is defined?

3x6y2z10

18x2y4z3

A.4 7

7

B. 1

6

xyz

C.4 7

2

1

6

x z

y

D.

9. Which values of x make the equationtrue?

x2 + 8x + 7 = 0

A. 6 and 1B. 8 and 1C. 7 and 1D. 7 and 1

10. Simplify:

(11m3 + 5m2 m) + (m2 + 9m 7)

A. 11m3 + 6m2 + 10m + 7B. 11m3 + 6m2 + 8m 7C. 11m3 + 5m2 + 10m 7D. 11m3 + 5m2 + 8m + 7

11. What is the sum of k3 + 9k2 + 3 and7k2 5?

A. 8k3 + 16k2 2B. 8k3 + 9k2 + 2C. k3 + 16k2 2D. k3 + 9k2 + 2

12. Simplify: (3x + 2y)(5x + 4y)

A. 15x2 + 8y2

B. 15x2 + 10xy + 8y2

C. 8x2 + 22xy + 6y2

D. 15x2 + 22xy + 8y2

Page 56: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #11

SPI 3102.3.2 Operate with polynomials and simplify results.

1. The length and width of rectangulargarden are represented in the figureshown.

Which equation represents the area(A) of the garden in terms of x?

A. A = 3x + 3B. A = 2x2 + 6xC. A = 2x + 5D. A = 8x

2. The length and width of rectangularpool are represented in the figureshown.

A. 4x + x + 1B. 3x2 + xC. 5x + 1D. 3x 1

3. The length and width of rectangulargarden are represented in the figureshown.

Which equation represents theperimeter (P) of the garden in termsof x?

A. P = 6x2 + 2B. P = 4xC. P = 6x + 2D. P = 6x2

4. The length and width of rectangulargarden are represented in the figureshown. Which expressionrepresents the perimeter of thegarden?

A. 6x2 4xB. 6x2 + 4x 24C. 6x2

D. 3x2 + 2x 12

x+3

A=l w

2x

3x + 1

x

A=l w

2x

x + 1

P = 2l + 2w

x2 + 2x - 6

2x2 6

P = 2l + 2w

22B. A = 2x2B. A = 2xB. A = 2x + 6x+ 6x C. P = 6x + 22

22B. 3x2xx + x+ x 22B. 6x2xx + 4x 24

Page 57: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

5. Simplify: (2x2 6x + 3) + (2x 7)

A. 2x2 9xB. 2x2 4x 4C. 2x2 + 4x + 10D. 2x2 9x + 4

6. Simplify: 4x3y5(8x2y + 4xy2 10x7y5

A. 32x6y5 + 16x3y10 40x21y25

B. 32xy + 16xy 40xyC. 32x5y6 + 16x4y7 40x10y10

D. 30xy 16xy + 10xy

7. Simplify: (x + y)(x + y)

A. x2 + 2xy + y2

B. x2 + y2

C. 2x2 + 2xy + 2y2

D. x2 y2

8. Which is an equivalent form for allvalues of x, y, and z for which theexpression is defined?

3x6y2z10

18x2y4z3

A.4 7

7

B. 1

6

xyz

C.4 7

2

1

6

x z

y

D.

9. Which values of x make the equationtrue?

x2 + 8x + 7 = 0

A. 6 and 1B. 8 and 1C. 7 and 1D. 7 and 1

10. Simplify:

(11m3 + 5m2 m) + (m2 + 9m 7)

A. 11m3 + 6m2 + 10m + 7B. 11m3 + 6m2 + 8m 7C. 11m3 + 5m2 + 10m 7D. 11m3 + 5m2 + 8m + 7

11. What is the sum of k3 + 9k2 + 3 and7k2 5?

A. 8k3 + 16k2 2B. 8k3 + 9k2 + 2C. k3 + 16k2 2D. k3 + 9k2 + 2

12. Simplify: (3x + 2y)(5x + 4y)

A. 15x2 + 8y2

B. 15x2 + 10xy + 8y2

C. 8x2 + 22xy + 6y2

D. 15x2 + 22xy + 8y2

22B. 2x2B. 2xB. 2x 4x 42

C. 7 and 1

B. 32xy + 16xy5

B. 32xy + 16xyB. 32xy + 16xy5

B. 32xy + 16xy6

B. 32xy + 16xyB. 32xy + 16xy6 44

40xy740xy40xy7 1010 1010C. 32x5C. 32xC. 32x y6 + 16x4+ 16x+ 16x y7 40x100x0x y10

22 22A. xA. x2A. xA. x + 2xy + y2

2 2+ 2xy + y+ 2xy + y

33 22B. 11m3 + 6m2 + 8m 73 2

33 22C. k3 + 16k2+ 16k+ 16k 23 2

4 74 74 71x zC.

26 y

+ 22xy + 6y2+ 22xy + 6y+ 22xy + 6y2 22D. 15x2D. 15xD. 15x + 22xy + 8y2

Page 58: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #12

SPI 3102.3.3 Factor polynomials.

Factor the following polynomials.

1. x2 + 8x + 15

A. (x + 3)(x + 5)B. (x 3)(x + 5)C. (x + 3)(x 5)D. (x 3)(x 5)

2. x2 11x + 24

A. (x + 3)(x 8)B. (x 2)(x 12)C. (x 3)(x 8)D. (x + 2)(x + 12)

3. 6x2 23x + 20

A. (2x 5)(3x 4)B. (2x 5)(3x + 4)C. (2x 5)(4x 3)D. (3x 4)(5x + 2)

4. 4x2 5x 6

A. (x + 2)(3x + 4)B. PRIMEC. (x 3)(4x + 2)D. (x 2)(4x + 3)

5. 30x2y4z + 35x3yz5 5xy2z6

A. 7xyz(6x + 5x2z4 y)B. PRIMEC. 5xyz(6xy3 + 7x2z4 yz5)D. 6x2y4z + 5x3yz5 1xy2z6

6. x3 + 5x2 + 7x + 35

A. x(x2 + 5x + 7)B. (x + 5)(x2 + 7)C. (x + 7)(x2 + 5)D. x(x2 + 5x + 42)

7. 8x2 + 2x 15

A. (4x 5)(2x + 3)B. (4x + 5)(2x 3)C. (8x 5)(x + 3)D. (8x 3)(x + 5)

8. Which expression is equivalent ton2 16n + 64?

A. (n 32)(n 2)B. (n + 16)(n 4)C. (n 8)(n 8)D. (n + 8)(n + 8)

9. Which expression is equivalent tox2 36?

A. (x + 9)(x 4)B. (x 6)(x 6)C. (x + 6)(x + 6)D. (x + 6)(x 6)

10. Which expression is equivalent toc2 + 20c + 100?

A. PRIMEB. (c + 10)(c + 10)C. (c 10)(c 10)D. (c + 10)(c 10)

Page 59: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #12

SPI 3102.3.3 Factor polynomials.

Factor the following polynomials.

1. x2 + 8x + 15

A. (x + 3)(x + 5)B. (x 3)(x + 5)C. (x + 3)(x 5)D. (x 3)(x 5)

2. x2 11x + 24

A. (x + 3)(x 8)B. (x 2)(x 12)C. (x 3)(x 8)D. (x + 2)(x + 12)

3. 6x2 23x + 20

A. (2x 5)(3x 4)B. (2x 5)(3x + 4)C. (2x 5)(4x 3)D. (3x 4)(5x + 2)

4. 4x2 5x 6

A. (x + 2)(3x + 4)B. PRIMEC. (x 3)(4x + 2)D. (x 2)(4x + 3)

5. 30x2y4z + 35x3yz5 5xy2z6

A. 7xyz(6x + 5x2z4 y)B. PRIMEC. 5xyz(6xy3 + 7x2z4 yz5)D. 6x2y4z + 5x3yz5 1xy2z6

6. x3 + 5x2 + 7x + 35

A. x(x2 + 5x + 7)B. (x + 5)(x2 + 7)C. (x + 7)(x2 + 5)D. x(x2 + 5x + 42)

7. 8x2 + 2x 15

A. (4x 5)(2x + 3)B. (4x + 5)(2x 3)C. (8x 5)(x + 3)D. (8x 3)(x + 5)

8. Which expression is equivalent ton2 16n + 64?

A. (n 32)(n 2)B. (n + 16)(n 4)C. (n 8)(n 8)D. (n + 8)(n + 8)

9. Which expression is equivalent tox2 36?

A. (x + 9)(x 4)B. (x 6)(x 6)C. (x + 6)(x + 6)D. (x + 6)(x 6)

10. Which expression is equivalent toc2 + 20c + 100?

A. PRIMEB. (c + 10)(c + 10)C. (c 10)(c 10)D. (c + 10)(c 10)

22B. (x + 5)(x2B. (x + 5)(xB. (x + 5)(x + 7)2A. (x + 3)(x + 5)A. (x + 3)(x + 5)

A. (4xA. (4x 5)(2x + 3)

C. (x 3)(x 8)

A. (2xA. (2x 5)(3x 4)C. (n 8)(n 8)8)

D. (x 2)(4x + 3) D. (x + 6)(x 6)

33 22 44 55C. 5xyz(6xy3 + 7x2+ 7x+ 7x z4zz yz5) B. (c + 10)(c + 10)

Page 60: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #13

SPI 3102.3.4 Operate with, evaluate, and simplify rational expressions includingdetermining restrictions on the domain of the variables.

1. Simplify2

2

for all values of

x for which the expression is defined.

A.6

3

x

x

B.3

6

x

x

C.9

1

x

x

D.1

9

x

x

2. Simplify for all values of x for

which the expression is defined.

A.4

1

x

B.4

1

C.4

4

x

D.4

1

x

3. Simplify 2

2

A. 5(x+3)

B.3

5

x

C.5

3x

D. 5

4. Simplify for

all values of x for which theexpression is defined.

A. 1

B. 1

C.2

2

D.2

2

5. Simplify the expression below andstate all restrictions on the domain.

2

2

A.

B.

C.

D. 0,4

2x

x

x

6. Simplify2

A.

B.

C. 2

D. x 3

Page 61: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #13

SPI 3102.3.4 Operate with, evaluate, and simplify rational expressions includingdetermining restrictions on the domain of the variables.

1. Simplify2

2

for all values of

x for which the expression is defined.

A.6

3

x

x

B.3

6

x

x

C.9

1

x

x

D.1

9

x

x

2. Simplify for all values of x for

which the expression is defined.

A.4

1

x

B.4

1

C.4

4

x

D.4

1

x

3. Simplify 2

2

A. 5(x+3)

B.3

5

x

C.5

3x

D. 5

4. Simplify for

all values of x for which theexpression is defined.

A. 1

B. 1

C.2

2

D.2

2

5. Simplify the expression below andstate all restrictions on the domain.

2

2

A.

B.

C.

D. 0,4

2x

x

x

6. Simplify2

A.

B.

C. 2

D. x 3

B. 66

x2

C.2

1D.4x

C.

A. 5(x+3)A. 5(x+3)A.A.

Page 62: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #14

SPI 3102.3.5: Write and/or solve linear equations, inequalities, and compoundinequalities including those containing absolute value.

1. Solve the equation8

65m = 7 for m.

A. m = 50B. m = 8C. m = 10D. m = 0

2. Solve the equation w 4 = 12 3wfor w.

A. w = 4B. w = 2C. w = 8D. w = 4

3. Solve the equation c ( 1.3) = 2.3for c.

A. c = 1.0B. c = 3.6C. c = 1.0D. c = 3.6

4. Which number is a solution to12x 7 > 7x + 13 or 4x + 5 > 7x + 35?

A. 12B. 10C. 4D. 4

5. Which compound inequality

A. 7 + 19B. 19C.D. 19

6. Solve 4b 3(2b 6) > 3 (5b + 9)for b.

A. b < 8B. b > 8C. b < 8D. b > 8

7. Solve 8 > 5 3x and 5 3x > 13for x.

A. 61/ xx

B. 61/ xx

C. 61/ xx

D. 61/ xx

A. 10,2

B. 10,2

C. 10,2

D. 2,2

9. Solve: 7x 11 < 10 < 3x + 28

A. x < 3 or x < 6B. 6 < x < 3C. x > 6 and x < 3D. 3 < x < 6

10. Which statement represents thesolution to this compound inequality?

2x 18

A. 6B.

D. 6

Page 63: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #14

SPI 3102.3.5: Write and/or solve linear equations, inequalities, and compoundinequalities including those containing absolute value.

1. Solve the equation8

65m = 7 for m.

A. m = 50B. m = 8C. m = 10D. m = 0

2. Solve the equation w 4 = 12 3wfor w.

A. w = 4B. w = 2C. w = 8D. w = 4

3. Solve the equation c ( 1.3) = 2.3for c.

A. c = 1.0B. c = 3.6C. c = 1.0D. c = 3.6

4. Which number is a solution to12x 7 > 7x + 13 or 4x + 5 > 7x + 35?

A. 12B. 10C. 4D. 4

5. Which compound inequality

A. 7 + 19B. 19C.D. 19

6. Solve 4b 3(2b 6) > 3 (5b + 9)for b.

A. b < 8B. b > 8C. b < 8D. b > 8

7. Solve 8 > 5 3x and 5 3x > 13for x.

A. 61/ xx

B. 61/ xx

C. 61/ xx

D. 61/ xx

A. 10,2

B. 10,2

C. 10,2

D. 2,2

9. Solve: 7x 11 < 10 < 3x + 28

A. x < 3 or x < 6B. 6 < x < 3C. x > 6 and x < 3D. 3 < x < 6

10. Which statement represents thesolution to this compound inequality?

2x 18

A. 6B.

D. 6

C. m = 10C. m = 10

D. b >D. b > 88

B. w =B. w = 2

C. 61/ xx

D. c =D. c = 3.63.6

A.A. 10,2

A.A. 12

B. 6 < x < 3

B. 19

Page 64: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #21

SPI 3102.4.1 Develop and apply strategies to estimate the area of any shape on aplane grid.

1. Which is closest to the area of thefigure?

= 1 square unit

A. 9 square unitsB. 12 square unitsC. 16 square unitsD. 20 square units

2. Which is closest to the area of thefigure?

= 1 square unit

A. 5 square unitsB. 15 square unitsC. 11 square unitsD. 20 square units

3. Which is the closest to the area ofthe figure?

= 1 square unit

A. 5 square unitsB. 8 square unitsC. 12 square unitsD. 14 square units

4. Which is closest to the area of thefigure?

= 1 square unit

A. 15 square unitsB. 2 square unitsC. 30 square unitsD. 32 square units

Page 65: Algebra 1 EOC Practice Test With Answer Keys 65 Pgs.

Algebra I EOC Practice #21

SPI 3102.4.1 Develop and apply strategies to estimate the area of any shape on aplane grid.

1. Which is closest to the area of thefigure?

= 1 square unit

A. 9 square unitsB. 12 square unitsC. 16 square unitsD. 20 square units

2. Which is closest to the area of thefigure?

= 1 square unit

A. 5 square unitsB. 15 square unitsC. 11 square unitsD. 20 square units

3. Which is the closest to the area ofthe figure?

= 1 square unit

A. 5 square unitsB. 8 square unitsC. 12 square unitsD. 14 square units

4. Which is closest to the area of thefigure?

= 1 square unit

A. 15 square unitsB. 2 square unitsC. 30 square unitsD. 32 square units

B. 12 square units B. 8 square units

C. 11 square units

A. 15 square unitsA. 15 square units