1. 2. 3. - Grymes Memorial School. Write two word phrases for the variable expression 60n.. 20....

23
Summer Math 2017 – Rising Pre-Algebra Worksheet 1 Describe each decimal in words. 1. 3,013.28 2. 52.6 3. 526.49 fifty-two and six tenths five hundred twenty-six and forty-nine hundredths three thousand thirteen and twenty-eight hundredths Write each amount as a decimal. 4. seven tenths 0.7 5. twenty- two hundredths 0.22 6. fifty hundredths 0.50 Write each number in standard form. 7. thirty and 3 tenths _30.3_________________________________________________ 8. twenty one thousand and 64 thousandths ___21,000.064_______________________ Write each decimal in expanded form and in words. 9. 5.009 5 + 0.009; five and nine thousandths 10. 15.95 10 + 5 + 0.9 + 0.05; fifteen and ninety-five hundredths Use mental math to find each answer. 11. 45 ÷ (27 ÷ 3) 12. (29 – 5) ÷ (24 ÷ 6) _____6_______________ __5___________________ Use compatible numbers to estimate. 17. 51 ÷ 4 __52 ÷ 4 = 13__________ 18. 29.8 × 7.1 30 × 7 = 210 19. Use rounding to estimate the product. 8.95 × 2.05 9 × 2 = 18 20. Use front- end estimation to estimate the sum. 7.821 + 9.91 7 + 9 = 16 Use <, =, or > to compare the values. 13. 7,651 > 7,511 14. 14.65 > 14.6 15. 0.05 < 0.50 16. 225.3 < 225.9

Transcript of 1. 2. 3. - Grymes Memorial School. Write two word phrases for the variable expression 60n.. 20....

Summer Math 2017 – Rising Pre-Algebra

Worksheet 1

Describe each decimal in words.

1. 3,013.28 2. 52.6 3. 526.49

fifty-two and six tenths five hundred twenty-six and forty-nine hundredths three thousand thirteen and twenty-eight

hundredths

Write each amount as a decimal.

4. seven tenths

0.7

5. twenty- two hundredths

0.22

6. fifty hundredths

0.50

Write each number in standard form.

7. thirty and 3 tenths _30.3_________________________________________________

8. twenty one thousand and 64 thousandths ___21,000.064_______________________

Write each decimal in expanded form and in words.

9. 5.009 5 + 0.009; five and nine thousandths

10. 15.95 10 + 5 + 0.9 + 0.05; fifteen and ninety-five hundredths

Use mental math to find each answer.

11. 45 ÷ (27 ÷ 3) 12. (29 – 5) ÷ (24 ÷ 6)

_____6_________________5___________________

Use compatible numbers to estimate.

17. 51 ÷ 4

__52 ÷ 4 = 13__________

18. 29.8 × 7.1

30 × 7 = 210

19. Use rounding to estimate the product. 8.95 × 2.05 9 × 2 = 18

20. Use front- end estimation to estimate the sum. 7.821 + 9.91 7 + 9 = 16

Use <, =, or > to compare the values.

13. 7,651 > 7,511 14. 14.65 > 14.6 15. 0.05 < 0.50 16. 225.3 < 225.9

Round each number to the nearest tenth.

21. 4141.07

__4141.1___________

22. 0.1257 23. 7.61

____0.1____________ ________7.6__________

First estimate, then find each sum or difference.

24. 53 + 17 + 26

about 100; 96

26. 0.44 + 9.151

about 10; 9.591

25. 27 – 14– 7 about 10; 6

27. 65.1 – 24.07 about 40; 41.03

28. You have one $10 bill and two quarters. You want to buy all of the items on the list below.

Can you afford to buy the hair gel? Explain.

Yes; the total cost would be $10.45, which is less than $10.50.

Item Price

hairbrush $4.59

comb $.42

hair gel $2.99

shampoo $2.45

Find each product or quotient.

29. 405 ÷ 15 30. 56 × 12 31. 30 × 1.54

27 672 46.2

32. 7.25 × 0.3 33. 10.8 ÷ 0.8 34. 50.50 ÷ 0.5

2.175 13.5 101

35. One pound of grapes costs $1.29. To the nearest cent, how much will 4.2 pounds of grapes

cost?

$5.42

Summer Math 2017 – Rising Pre-Algebra Worksheet 2

1. Find the next three terms in this number pattern: 5, 13, 21, 29, . . .

_________________________________________________________________

2. Write a rule for the number pattern 6, 12, 24, 48, . . .

_________________________________________________________________

Evaluate each expression.

3. 23 + 6 ÷ 2 4. 5 × (3 + 1) 3 × 4 5. 4 + (4 × 3)2

___________________ ___________________ _____________________

6. 4(x – 7) for x = 10 7. 3a + 6 for a = 6 8. y2 + 1 for y = 3

___________________ ___________________ _____________________

9. 22.25 – k2 for k = 4.2 10. b – 5.3 for b = 10.25 11. 2h + 3.4 for h = 0.3

___________________ ___________________ _____________________

Solve each equation. 12. 13 = 9 + y 13. 30 = k ÷ 3

_____________________ _____________________

_____________________ _____________________

14. 4.3 + j = 6.1 15. 11.1 = f – 2.3

_____________________ _____________________

_____________________ _____________________

16. m ÷ 2.1 = 5.1 17. p × 0.6 = 1.2

_____________________ _____________________

_____________________ _____________________

18. Write two word phrases for the variable expression a + 23.

________________________________________________________________

________________________________________________________________

37, 45, 53

n × 2

44.61

102412

148240

4.95

26

13 – 9 = 9 – 9 + y

4 = y

4.3 – 4.3 + j = 6.1 – 4.3

90 = k

j = 1.811.11 + 2.3 = f – 2.3 + 2.3

13.41 = f

m = 5.1 × 2.11

m = 10.71

30 × 3 = k

p = 1.2 ÷ 0.6p = 2

Sample answers: Twenty-three more than a number

The sum of a number and 23.

19. Write two word phrases for the variable expression 60n.

________________________________________________________________

________________________________________________________________

20. Write an algebraic expression for the phrase, seven less than a number.

________________________________________________________________

________________________________________________________________

21. Use the Distributive Property to rewrite and evaluate 3 × (5 + 6).

________________________________________________________________

Evaluate each expression.

22. (22 + 3) × 6 23. 5 × 9 + 50

_____________________ _____________________

24. 205 – 9 × 9 25. 200 ÷ 5 + 75

_____________________ _____________________

Evaluate each expression if n = 10.

26. 8n 27. n – 8

_____________________ _____________________

28. 12 – n 29. n + 8

_____________________ _____________________

30. Annie agreed to wash the car each week if she could get paid $.01 the first week, $.02 the

second week, $.04 the third week, $.08 the fourth week, and so on for 15 weeks. How much money

will she be paid on the 15th week?

________________________________________________________________

31. Explain why (2 + 3) × 4 is not equal to 2 + 3 × 4.

Sample answers: The product of a number and 60.

Sixty times a number n.

x – 7

(3 × 5) + (3 × 6) = 15 + 18 = 33

95

124 115

150

n = 18n = 2

n = 2n = 80

$163.84

Use the order of operations. (2 + 3) × 4 = 5 × 5 = 20, and 2 + 3 × 4 = 2 + 12 = 14.

Summer Math 2017 – Rising Pre-Algebra Worksheet 3

State whether each number is divisible by 2, 3, 5, 9, or 10.

1. 32,715 2. 5,265 3. 7,475 4. 840

____________ ____________ ____________ ____________

5. Find the digits between 0 and 9 that make 2 402 divisible by 3. _________________

6. Which of these numbers is prime? 53; 65; 72; 365; 3,411 _______________________

Find the prime factorization of each number using a factor tree.

7. 630 8. 64 9. 76

___________________ ___________________ _____________________

10. 88 11. 525 12. 308

___________________ ___________________ _____________________

Find the GCF for each set of numbers.

13. 65 and 195 14. 42 and 63 15. 24 and 60

___________________ ___________________ _____________________

Write each expression using an exponent. Name the base and the exponent.

16. 5 × 5 × 5 × 5 17. a × a × a 18. 3 × 3 19. b × b × b × b × b × b

____________ ____________ ____________ ____________

Simplify each expression.

20. 23 + 4 21. 5 × 32

___________________ ___________________

22. 10 – (4 – 2)3 23. 32 ÷ 42

___________________ ___________________

State whether each number is prime or composite.

24. 11 25. 24 26. 60

___________________ ___________________ _____________________

2, 3, 5, 1053, 5, 93, 5, 9

53

1, 4, 7

2 × 3 × 3 × 5 × 7 2 × 2 × 192 × 2 × 2 × 2 × 2 × 2

2 × 2 × 7 × 112 × 2 × 2 × 11 3 × 5 × 5 × 7

122165

a3;base=a,exponent=354; base=5, exponent=4 b6;base=b,exponent=632;base=3,exponent=2

composite

2

4512

2

prime composite

Simplify each expression by combining like terms.

27. 4x + 3x + 10x 28. 8b + 5 – 3b 29. 12 – 2y + 3 + 6y

___________________ ___________________ _____________________

Find the LCM for each set of numbers.

30. 8 and 10 31. 26 and 30 32. 6, 16, and 44

___________________ ___________________ _____________________

Use the Distributive Property to simplify each expression.

33. 5(3 + 9x) 34. 14 – 2(5 + 10c) 35. 10(2 + 4y)

___________________ ___________________ _____________________

Answer each question.

36. Miss Gold asked her class groups to make posters for the bulletin board. She told them to draw,

color, or paste 42 stars on poster board. The only rule was that the stars had to be in equal groups

and the number of stars in each group had to be prime. How many groups of stars might be on a

poster, and how many stars are in each group?

___________________________________________________________

___________________________________________________________

___________________________________________________________

37. How do you use the LCM to write two or more fractions with a common denominator?

___________________________________________________________

___________________________________________________________

___________________________________________________________

___________________________________________________________

___________________________________________________________

15 + 4y5b + 517x

21 groups of 2 OR 14 groups of 3 OR 6 groups of 7

39040 528

4 – 20c15 + 45x 20 + 40y

First find the LCM of the denominators - this is the LCD. Then convert both fractions into fractions with the LCD as the denominator.

Summer Math 2017 – Rising Pre-Algebra

Worksheet 4

Estimate each product or quotient.

1. 2 19 23 5× ___________________ 2.

3 511 14 6÷ ___________________

3. 7 129 58 6÷ ___________________ 4. 1 24 10

8 3÷ ___________________

Find each product or quotient.

5. 5 59 6÷ ___________________ 6. 2

5 of 35

7. 8 1111 3

÷ ___________________ 8. 1 32 4× ___________________

9. 1 12 15 3× ___________________ 10. 118

8÷ ___________________

11. 47 35÷ ___________________ 12. 53 4

7× ___________________

Solve.

13. Kisha plans to double a recipe for cookies. The original recipe calls for 381 cups of flour. How

much does she need for the doubled recipe? Write as a mixed number in simplest form.

_________________________________________________________________

14. Sammy wants to make a half portion of a recipe that calls for 131 cups of milk. How much milk

does she need for the half portion?

_________________________________________________________________

15. You want to cut a 10-foot board into 122 -foot lengths. How many pieces will you have?

_________________________________________________________________

Solve each equation.

16. 64x= _______________________

About one-thirdAbout 6

About 6About 20

x = 24

14

144

4 pieces

17. 57b= _______________________

18. 99c= _______________________

19. 12010y= _______________________

20. 315x= _______________________

21. 412z= _______________________

Write the reciprocal of each number.

22. 15 ____________________ 23. 45

____________________

24. 27 ____________________ 25. 97

____________________

Solve for each equation. Check the solution.

26. 1 64

x = ____________________ 27. 4 75 10

x = ____________________

28. 3 58 7

x = ____________________ 29. 154x= ____________________

Solve.

30. The main road leading to Hadley Middle School is 342 miles long. It is being resurfaced. The

road construction manager told the principal that 13 of the road is finished. How many miles of

the road have been resurfaced?

_________________________________________________________________

31. Nicky is making cookies. She needs to add 121 teaspoons of baking soda, but she can only find

the 14 -teaspoon measuring spoon. How many 1

4 -teaspoon measures should she use?

_________________________________________________________________

x =

z = 48

x = 45

y = 1200

c = 81

b = 35

x =

x = 60

x = 24

6 measures

Summer Math 2017 – Rising Pre-Algebra

Worksheet 5

Write each ratio in simplest form.

1. 645

2. 6045

3. 21 : 49

______________ ______________ ______________

Find the unknown quantity.

4. There are 17 players per team. Find the number of players on 8 teams.

________________________________________________________________

5. There are 12 buttons per phone. Find the number of phones if there are 156 buttons.

________________________________________________________________

6. Eleven shirts cost $137.50. Find the cost per shirt.

________________________________________________________________

For 7–9, write each ratio two other ways.

7. 57

8. 8 to 3 9. 10 : 12

______________ ______________ ______________

10. A school notebook costs $3.50. How much do three school notebooks cost?

________________________________________________________________

11. A 12-pack of water costs $10. A 4-pack of water costs $4. Which is a better buy?

________________________________________________________________

12. A grocery store sells 8 boxes of cereal bars for $18. What is the unit price of a box of cereal

bars?

________________________________________________________________

3:7

$12.50 per shirt

13 phones

136 players

; 10 to 12; 8:35 to 7; 5:7

$2.25

12-pack

$10.50

For 13–15, use the figure below.

13. Find the ratio of the dotted box region to the whole region.

________________________________________________________________

14. Find the ratio of the line box region to the dotted box region.

________________________________________________________________

15. Find the ratio of the line box region to the whole region.

________________________________________________________________

16. Write the scale as a ratio for an 8-foot-tall model for a 264-foot-tall building.

________________________________________________________________

17. The Washington Monument is about 555 feet tall. Suppose you wanted to sell models of the

monument. What scale would you use? Explain your choice.

________________________________________________________________

________________________________________________________________

For Exercises 18 and 19, use a map scale of 2 inches : 25 miles to find the actual distance

for each measurement.

18. 3 in.____________________________ 19. 12

in. ____________________________

20. Anne lives 30 miles from her cousin. On a map, she measures 3 in. between their homes. What

is the scale of the map?

________________________________________________________________

One possible answer: Use 1 inch : 55.5 feet. Then the model will be 10 in tall.

3 to 12

3 to 5

5 to 12

1 foot:33 feet

6.25 miles

1 inch : 10 miles

37.5 miles

Write each percent as a fraction in simplest form and as a decimal.

21. 45% 22. 28% 23. 6%

______________ ______________ ______________

Write each fraction as a percent. Round to the nearest whole percent.

24. 320

25. 59

26. 8795

______________ ______________ ______________

Estimate a 20% tip for each bill amount.

27. $35.00 28. $25.50 29. $29.30

______________ ______________ ______________

Use any method to find each answer.

30. 43% of 156 31. 18% of 49 32. 68% of 99

______________ ______________ ______________8.8267.08

$6.00$5.00$7.00

92%56%15%

67.32

Name the opposite of each integer.

1. –17 ___________ 2. –5 ___________ 3. 140 ___________ 4. –25 ___________

Find each absolute value.

5. |–5| ___________ 6. |15| ___________ 7. |–9| ___________ 8. |–43| ___________

Write an integer to represent each situation. Then graph the integer on a number line.

9. 3º below zero __________ 10. earnings of $6 __________ 11. 4 under par __________

Find each sum or difference.

12. –18 + (–5) ___________ 13. –25 + 17 ___________ 14. 23 + (–29) ___________

15. –27 – 61 ___________ 16. 84 – (–13) ___________ 17. –91 – (–69) __________

18. The building superintendent lives on the 9th floor. He goes up 6 floors to an apartment. Next he

goes down 10 floors. Then he goes up 2 floors. What floor is he on?

______________________________7th Floor_________________________________

Find each product or quotient.

19. 3 × 4 ___________ 20. 5 × (–2) ___________ 21. –7 × (–6) ___________

22. 18 ÷ 3 ___________ 23. –25 ÷ 5 ___________ 24. –27 ÷ (–9) ___________

25. Suppose you borrow $15 from each of 5 friends. Write an integer to express your debt.

_______________________________________________________________

26. Suppose a submarine is 480 feet below sea level. The submarine rises 40 feet per minute. Write

an integer to express the time it takes to reach the surface.

_______________________________________________________________

Write an inequality for each situation.

27. There are more than 25 states in the country.

_______________________________________________________________

28. A sign on a tunnel says, “Maximum height of vehicles is 15 feet.”

_______________________________________________________________

Summer Math 2017 – Rising Pre-Algebra

Worksheet 6

6

–1405 25

5

–4

43915

–3

97–88 –22

–6–8–23

–5

4212

6

–10

3

–$75

12 minutes

x > 25

x ≤ 15

29. Water boils at a temperature of at least 212ºF.

_______________________________________________________________

30. Your brother had, at most, 25 people at his party.

_______________________________________________________________

Write an inequality for each graph.

31. 32. ________________________________ ________________________________

Solve each inequality.

33. 8 15x − < 34. 17 12y + ≥ 35. 5 12j + < −

___________________ ___________________ ___________________

36. r + (–4) > 17 37. ( 5) 25g − − ≥ 38. 61 31b− > −

___________________ ___________________ ___________________

39. Fifteen is greater than a number minus 7.

_______________________________________________________________

40. A number plus 11 is less than or equal to 9.

_______________________________________________________________

x ≥ 212

x < –1

x ≤ 25

x ≥ –3

y ≥ –5x < 23 j < –17

r > 21 g ≥ 20 b < –30

15 > x – 1; x < 22

x + 11 ≤ 9; x ≤ –2

Summer Math 2017 – Rising Pre-Algebra

Worksheet 7

Find the coordinates of each point at the right.

1. B _________________ 2. D _________________

3. H _________________ 4. K _________________

Name the point at the right with the given coordinates.

5. (2, 3) _________________ 6. (5, –4) _________________

7. (5, 6) _________________ 8. (–3, 2) _________________

Graph each point on a coordinate plane.

9. C(3, –5)

10. S(–4, 6)

11. T(0, 1)

12. F(–2, –4)

Look at the data for Dave’s CD Warehouse. Find the profit or loss for each period.

Dave’s CD Warehouse

Income Expenses

Week 1 $ 6,095 –4,678

Week 2 $ 4,987 –6,037

Week 3 $ 5,987 –6,100

Week 4 $ 6,105 –4,357

13. Week 1 _________ 14. Week 2 _________

15. Week 3 _________ 16. Week 4 _________

(2, –2)

(6, –7)

(7, 3)(–6, 6)

(2, –2)

EACI

–$113

–$1,050$1,417$1,748

Make a table and graph each of the functions. Use x-values 1, 2, 3, 4.

17. y = 3x

Input Output 0123

18. Suppose you blink 125 times in 5 minutes. After half an hour, you blink 750 times. How many

times do you blink in an hour? Solve by making a graph.

_______________________________________________________________1,500 times

9630

Summer Math 2017 – Rising Pre-

Algebra Worksheet 8

Find the perimeter and area of each rectangle.

1.

perimeter _______________

area ___________________

2.

perimeter _______________

area ___________________

3.

perimeter _______________

area ___________________

Find the perimeter and area of each rectangle.

4. = 3 m, w = 4 m 5. = 2.4 ft, w = 6 ft 6. = 2.5 cm, w = 0.6 cm

_____________________ _____________________ _____________________

96 m2

40 m

102 ft2

46 ft

46 yd

126 yd2

16.8 ft; 14.4ft214 m; 12 m2 6.2 cm; 1.5 cm2

Find the area of each parallelogram.

Find the area of each triangle.

10. b = 6 in., h = 4 in. 11. b = 12 cm, h = 5 cm 12. b = 7.9 yd, h = 8 yd

_____________________ _____________________ _____________________

Match each prism to the appropriate name.

_____13. cube _____14. pyramid _____15. pentagonal prism _____16. triangular prism

17. Draw a net that will fold to form a rectangular prism.

Find the surface area of a rectangular prism with the given dimensions. Round to the nearest tenth.

18. = 3.5 m, w = 2.9 m, h = 4.7 m 19. = 6.5 cm, w = 15.1 cm, h = 4.5 cm

_______________________________ ________________________________

Find the surface area of a square pyramid with the given dimensions.

35 in2142.5 ft238.4 cm2

390.7 cm2

30 cm212 in2 31.6 yd2

DCB A

80.5 m2

2100 cm2145 in2

Find the mean, median, and mode of each data set.

1. 14, 15, 18, 17, 5, 11 2. 20, 30, 30, 26, 19

3. 8, 5, 5, 2, 3, 7, 9, 6, 1, 4 4. 18.1, 20.1, 14.7, 15.3, 17.5, 18.1

Identify the outlier in each set of data.

5. 148, 152, 150, 150, 147, 161, 104, 159 6. 982, 1003, 997, 994, 916, 989

Make a dot plot for each set of data.

7. 25, 20, 65, 50, 0, 25, 20, 75, 90, 90, 75, 10 8. 30, 20, 15, 15, 20, 60, 95, 30, 40, 15

An advertising agency surveys people to see how many hours theywatch sports each week. The results are in the frequency table.

9. Make a histogram to represent this data.

10.

Tell whether the question is a statistical question. If it is, identify likely answers. If not, explain why not.

11.

12.

13.

What conclusions can you make about this data?.

Interval 0–2 3–5 6–8 9–11Frequency 8 15 12 4

Time (in hours) Spent Watching Sports Each Week

What is your favorite sport to play?

Do you play a musical instrument?

How tall am I?

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Summer Math 2017 - Rising Pre-Algebra

Worksheet 9

5,5,5

25, 26, 3013.3, 14.5, none

17.3, 17.8, 18.1

916104

Sample - Most people watch sports 3-5 hours per week.

Statistical - many answers available

Statistical - more than one answer - yes/no

Not Statistical - only one answer

Michael sold tickets for the events at the fair. He used the followingspreadsheet to keep track of sales.

15. Write a formula to calculate the value 16. Write a formula to calculate the value inin cell F2. cell G2.

17. How many ride tickets were sold 18. How much money did Michael collect for ridethat week? sales that week?

Use the data at the right for Exercises 19–21.

19. What is the range of values?

20. What is the mode?

21. What is the largest number in the data set that is less than 80?

Use the graph at the right for Exercises 22–24.

22. What was the average home price in 2001?

23.

24.

234567

MondayTuesdayWednesdayThursdayFridayTotals

857610

1571295

$3.50$3.50$3.50$3.50$3.50

$4.50$4.50$4.50$4.50$4.50

Ride Tickets

Sold

Game Tickets

Sold

Cost for Rides

Cost for Games

Total Tickets

Sold

Rides Sales

Game Sales

A B C D E F G H

Day1

Average Home Price

2001 2002

154

153

152

151

150

149

Hom

e P

rice

s (

thou

sand

s of

dol

lars

)

Year

What was the average home price in 2002? Could the bar

graph be misleading? If so, how would you correct the graph?

96, 73, 86, 89, 62, 60, 93, 92, 90, 71, 64, 84, 95, 92, 85, 75

000200010271713776_CH09_p001-012.qxd 1/28/13 6:06 PM Page 4

= B2 + C2 = B2 x C2

36 tickets $126

92

36

75

$152,000

$150,000

Sample Answer: Yes - the y-axis is misleading. Correct this and

the height of the bars will be more realistic.

1. What is the decimal for fifty-seventhousandths?

A. 5.7

B. 0.57

C. 0.057

D. 0.0057

2. List the decimals 2.35, 3.02, 2.53, 2.45, 2.44from greatest to least.

F. 3.02, 2.53, 2.45, 2.44, 2.35

G. 2.35, 2.45, 2.44, 2.53, 3.02

H. 2.35, 2.44, 2.45, 2.53, 3.02

J. 3.02, 2.35, 2.45, 2.44, 2.53

3. Find the sum 1.72 � 0.38 � 1.10.

A. 1.20

B. 2.02

C. 3.20

D. 2.23

4. You have $15 to go to the mall. You want tobuy a CD for $8.99, a card for $3.60, and asnack for $1.75. How much changewill you get?

F. none

G. $.66

H. $.75

J. $15 is not enough

5. Find the product 1.82 � 0.4.

A. 1.728

B. 1.0728

C. 0.728

D. 0.0728

6. Five notebooks cost $4.65. What is the pricefor two notebooks?

F. $.93

G. $2.32

H. $1.50

J. $1.86

7. Solve 12z � 144.

A. 12

B. 72

C. 132

D. 1,728

8. Which is the prime factorization tree of 60?

F.

G.

H.

J.

9. What is the GCF of 180 and 700?

A. 5

B. 15

C. 10

D. 20

60

2 30

2 15

3 5

60

154

22

60

2 30

60

4 15

Multiple Choice. Choose the letter of the best answer.

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Summer Math 2017 - Rising Pre-Algebra Worksheet 10

10. Which operations will make the twoexpressions equal?2 + (12 � 3) = 2 12 3

F. +, +

G. -, -

H. �, �

J. +, �

11. Evaluate 9 � 9 - 6 � 6.

A. 4.5

B. 12.5

C. 45

D. 80

12. What is the reciprocal of

A. 15

B. 21

C.

D. 15.21

13. Solve q + 5 = 17.

A. 22

B. 17

C. 12

D. 5

14. What would you do first if you had toevaluate the expression 5(9 - 4)?

F. 5 � 9

G. 5 � 4

H. (9 - 4)

J. 5 � 9 - 5 � 4

15. Use mental math to evaluate 4 � (5 - 4).

A. 4 B. 16

C. 19 D. 76

Short Answer

16. What equation is modeled below?

17. Use the Distributive Property to write in themissing numbers. Explain how you foundyour answer.

5 � ( + 13) = ( � 4) + (5 � )

2115

1521 ?

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Sample: Compare positions of numbers on left and right side of = sign. Match to the Distributive Property.

x + 4 = 6

1354

Use the chart for Exercises 1–2.

1. What is the least preferred way toprepare eggs?

A. fried B. poached

C. boiled D. scrambled

2. If you organized this data into a bargraph, with a horizontal axis called“Manner of Preparation,” which barwould be the largest?

F. poached G. scrambled

H. fried J. omelets

3. Frozen orange juice concentrate costs $.02per ounce. How much does a 64-ouncecontainer cost?

A. $0.13 B. $1.28

C. $12.80 D. $64.02

Use the data set below for Exercises 4–5.

37, 45, 50, 35, 41, 43, 54, 41, 38, 46

4. Find the mean.

F. 10 G. 41

H. 42 J. 43

5. Find the median.

A. 10 B. 41

C. 42 D. 43

6. Which number is greater than 1.104?

F. 1.014 G. 1.044

H. 1.144 J. 0.444

Use the spreadsheet below for Exercises 7–8.

7. Riki works a summer job for $5.75 an hour.The spreadsheet shows a typical workweek.How much does she earn in a typical week?

A. $178.25 B. $172.50

C. $166.75 D. $159.75

8. Which formula could not be used tocalculate the value of cell E7?

F. E7 � E2 � E3 � E4 � E5 � E6

G. E7 � 5.75 � D7

H. E7 � (D2 � D3 � D4 � D5 � D6)� 5.75

J. E7 � (E2 � E3 � E4 � E5 � E6) � 5.75

A B C D E

1Day Time Time Total Amount

In Out Hours Earned

2 Sat. 1 6

3 Mon. 2 8

4 Tues. 2 8

5 Wed. 1 8

6 Thurs. 1 8

7WeeklyTotal

Manner of Number ofPreparation People

Scrambled 34

Poached 3

Fried 31

Omelets 5

Boiled 23

Other 4

Summer Math 2017 - Rising Pre-Algebra Worksheet 11

Multiple Choice. Choose the letter of the best answer.

Preferred Preparation of Eggs

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9. Which expression can be used to find theproduct 6 � 498?

A. (6 � 500) � (6 � 2)

B. (6 � 500) � 2

C. (6 � 500) � (6 � 2)

D. 500 � 2 � 6

10. School lunch costs $3.35. If Megan buyslunch 25 times, how much money will shespend?

F. $3.60

G. $21.65

H. $83.75

J. $335.00

11. Estimate 34,926 � 17,042.

A. 17,000

B. 18,000

C. 19,000

D. 20,000

12. Round 5,389.029 to the nearest hundredth.

F. 5,389

G. 5,389.02

H. 5,389.03

J. 5,400

13. Which of the following situations would bebest shown by a line graph?

A. Five students each get a different scoreon a math quiz.

B. Gas prices rise steadily over nine months.

C. A science teacher divides class time upinto five smaller periods to allow time forfive different activities.

D. Julie compares the price of fresh-squeezed orange juice at four differentrestaurants.

14. Which answer choice shows the decimalsordered from least to greatest?

F. 8.001, 8.09, 8.101, 8.19

G. 8.001, 8.101, 8.19, 8.09

H. 8.9, 8.19, 8.101, 8.09

J. 8.9, 8.09, 8.19, 8.101

Short Response

15. Write the number 456,002 in word form.

16. Judy owns a retail store, which was open forfive days last week. The total sales for eachday last week were $345.50, $367.25, $339.00,$374.00, and $196.50.

a. Which piece of data is the outlier in thisdata set?

b. How will the outlier affect the mean oflast week’s total sales?

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$196.50

four hundred fifty-six thousand and two

It will decrease the average by $32.