Algebra 1 First Semester Exam MMS (2011-2012) 1 First Semester Exam MMS (2011-2012) Page 8 of 12 34....

Algebra 1 First Semester Exam

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Name ______________________________ Period ____ Score _______________/ 50 pts. Multiple Choice: Answer the following questions on the bubble sheet. (1 pt. each)

1. Evaluate

162(86)2

A. 32 B. 2

C. 16 D. 1

2. List the numbers from least to greatest: 0.75 , 4 , 2.5 , 1

2, 1

A. 1

2, 0.75 , 2.5 , 1 , 4 B. 1 , 2.5 ,

1

2, 0.75 , 4

C. 2.5 , 1 , 1

2, 0.75 , 4 D.

1

2, 0.75 , 1 , 4 , 2.5

3. If2( ) 6 2f x x , find ( 3)f .

A. -38 B. -20

C. 13 D. 52

4. Write a function rule that gives the total cost, c(p), of p pounds of sugar if each pound costs

$0.59.

A. ( ) 0.59c p c p B.2( ) 0.59c p p

C. ( ) 0.59c p p D. ( ) 0.59c p p

5. Chrystal earns $5.50 per hour mowing lawns. Write a rule to describe how the amount of

money m(t) earned is a function of the number of hours h spent mowing lawns. Then, calculate how much Chrystal earns if she works 3 hours and 45 minutes.

A. ( ) 3 45m t h ; $61.50 B. ( ) 5.50m t h ; $18.98

C. ( ) 5.50m t h ; $0.68 D. ( )5.50

hm t ; $20.63


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8. Solve 10, for .4

xx

A. 40x B.5

2x

C. 14x D. 6x

6. Which of the following is NOT a function?

A. B.

C. D.

7. Find the range of ( ) 4f x x for the domain {1, 3, 8}.

A. {1, 3, 8} B. {5, 7, 12}

C. {-3, -1, 4} D. {4, 12, 32}


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9. Solve

11 2d15, for d.

A. d = -13 B. d = -2

C. d = 13 D. d = 2

10. Solve3( 6) 4 16, for .y y y

A. 2y B. 7y

C.3

2y D. 10y

11. A customer went to a garden shop and bought some potting soil for $17.50 and 4 shrubs. The total bill was $53.50. Find the cost of each shrub.

A. $7.20 B. $14.20

C. $9.00 D. $17.75

12. Solve the proportion:

5

6x

30.

A. B. C. D.

13. You are driving across the country at a constant speed. The table below represents your

distance traveled at different times. What is your speed?

Time (hours) Total Distance Traveled (miles)

4 208

8 416

12 624

13 676

18 936

A. 52 mph B. 26 mph

C. 208 mph D. 34mph


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15. The fuel for a chain saw is a mix of oil and gasoline. The ratio of ounces of oil to gallons of gasoline

is 7:19. There are 38 gallons of gasoline. How many ounces of oil are there? A. 103.1 ounces B. 14 ounces C. 20 ounces D. 3.5 ounces 16. An architect built a scale model of a shopping mall. On the model, a circular fountain is 20 inches

tall and 22.5 inches in diameter. If the actual fountain is to be 8 feet tall, what is its diameter? A. 7 ft. B. 9 ft. C. 7.1 ft. D. 10.5 ft. 17. What percent of 74 is 481? If necessary, round. A. 6.5% B. 550% C. 650% D. 15.38% 18. 66 is 56% of what number? If necessary, round your answer to the nearest hundredth. A. 0.85 B. 1.18 C. 117.86 D. 36.96 19. The price of a train ticket from Cincinnati to Pittsburgh is normally $117.00. However, children under

the age of 16 receive a 70% discount. Find the sale price for someone under the age of 16. A. $ 35.10 B. $ 81.90 C. $ 198.90 D. $ 49.14

14. Which equation best describes the table below?

x y

6 13

7 17

8 21

9 25

A. 6 13y x B. 4 11y x

C. 4 13y x D.2 23y x


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20. Jamie is a waiter. He waits on a table of 4 whose bill comes to $69.98. If Jamie receives a 20% tip, approximately how much will he receive?

A. $ 14.00 B. $ 13.55 C. $84.00 D. $3.50 21. Give the domain and range of the relation.

Questions 22 -26: Match each vocabulary term with its definition. (1 pt. each) A. algebraic expression B. evaluate C. coefficient D. variable E. constant _____ 22. a letter or symbol used to represent a number _____ 23. a value that does not change _____ 24. a number multiplied by a variable _____ 25. to find the value of an algebraic expression by substituting a number for each variable and

simplifying by using the order of operations _____ 26. an expression that contains at least one variable


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27. The graph shows a linear relationship. Find the slope.

A.

4

5 B.

2

3

C.

3

2

D.

5

4

28. Find the slope of the line that passes through the pair of points: (1, 4) (2, -2)

A.

B.

C.

D.

29. Find the slope of the line described by 1x – 3y = –6

A.

B. -2

C.

D. 2

30. Write the equation that describes the line with slope = and y-intercept = 3 in slope-intercept form.

A. x + y = B. y = x + 3

C. y = 3x + D. x = y + 3

2

23

22

2 2


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31. Write an equation of the line that has a slope of ½ and passes through (4,-5)

A.

B.

C.

D.

32. Write an equation of a line passing through (2,1) & (3,4).

A. B.

C. D.

33. Graph the following equation: .

A.

B.

C.

D.

2 4 6 8–2–4–6–8–10 x

2

4

6

8

10

–2

–4

–6

–8

–10

y

2 4 6 8–2–4–6–8 x

2

4

6

8

10

–2

–4

–6

–8

–10

y

2 4 6 8–2–4–6–8–10 x

2

4

6

8

10

–2

–4

–6

–8

–10

y

2 4 6 8–2–4–6–8–10 x

2

4

6

8

10

–2

–4

–6

–8

–10

y


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34. Kristi rides her bike to school and has an odometer that measures the distance traveled. She subtracts this distance from the distance to the school and records the distance that remains between her and the school. She recorded this data in a chart. Use this data to find the x- and y- intercepts. What do these intercepts represent?

A. x-intercept = 5000; y-intercept = 8 The x-intercept represents the initial distance Kristi has to travel to school. The y-intercept represents the time traveled when Kristi arrived at school. B. x-intercept = 8; y-intercept = 5000 The x-intercept represents the time traveled when Kristi arrived at school. The y-intercept represents the initial distance Kristi has to travel to school. C. x-intercept = 5000; y-intercept = 8 The x-intercept represents the time traveled when Kristi began her bike ride. The y-intercept represents the distance remaining when Kristi arrived at school. D. x-intercept = 8; y-intercept = 5000 The x-intercept represents the time traveled when Kristi began her bike ride. The y-intercept represents the distance remaining when Kristi arrived at school. 35. Solve the following system of equations

y = 2x + 3

y = 3x + 1

A. (–2, –1) B. (–1, –2) C. (2, 7) D. (–2, –5)

Time traveled

(min)

Distance remaining

(ft)

0 5,000

2 3,750

4 2,500

6 1,250

8 0


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36. Which graph represents the solution to the following system of equations?

A. B.

C. D.

O

(2.67, –2)

2 4 6–2 x

2

–2

–4

–6

–8

y

O

(1, –5.33)

2 4 6–2 x

–2

–4

–6

–8

–10

y

O

(–3, –8)

2–2–4–6 x

–2

–4

–6

–8

–10

y

O

(–1, –5.33)

2–2–4–6 x

–2

–4

–6

–8

–10

y


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Extended Response: Answer each question in the space provided and show work to support your solutions. 37. A runner is trying out a new workout routine. His new routine includes everything listed below. First, from a stop he increases speed for 3 minutes, until he reaches his top speed of 9 mph. Second, he keeps running at top speed for 2 minutes. Third, he gradually slows down over a 5 minute period of time until he reaches a stop. Last, he rests for 4 minutes. In the space below, sketch a graph relating the speed (in mph) of the runner to time (in minutes). Your graph must include all four parts of the runner’s exercise described above. Be sure to label your graph. (4 points)


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38. A taxi company charges every passenger $3 plus $1.50 per mile. (4 pts.)

a.) List 4 ordered pairs for this function, using the chart below.

b.) Write an equation for calculating the total cost, where x = number of miles and y = total cost. __________________________ c.) Graph this function below.

d.) How many miles did the customer travel if their cost was $9.75? _______________

x (miles)

y (dollars)

1

2

5

10


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39. A 15 foot tree casts a shadow that is x feet long. A 5 foot boy standing next to the tree casts a shadow that is 4 feet less than the tree’s shadow.

In the space below, sketch this problem and then determine the length of the tree’s shadow

and the length of the boy’s shadow. (4 pts.)

40. Joey and Matilda are going shopping for a new Kindle. Joey found at Kindle at Best Buy originally priced at $179, but they are having a 35% off sale. Matilda found a Kindle at Target originally priced $150, but she will apply a 20% off coupon she received in the mail. Who is getting the better deal? Show your work or provide an explanation for the answer. (2 pts.)

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