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Final Exam Review (Math 1A)

Name: Date:

1. Which of these best describes the rule for the xand y values in the table below?

Input(x)

Output(y)

6 14

7 17

8 20

9 23

10 26

A. 3x − 4 = y B. 2x − 4 = y

C. 3x + 4 = y D. 2x + 4 = y

2. The fourth place winner of a sled dog racereceived $200. The third place winner received$400. The second place winner received $800.The first place winner received $1,600. What wasthe pattern for awarding the prize money in thesled dog race?

A. adding 200 B. adding 400

C. multiplying by 2 D. multiplying by 8

3. Which graph shows the function y = −3x + 0.5?

A. B.

C. D.

page 1

4. Which point lies on the line defined by 3x+6y= 2?

A. (0, 2) B. (0, 6)

C.(1,− 1

6

)D.

(1,− 1

3

)5. The following table represents C, an appliance

repairman’s charges based on t, the hours it takesto make a repair.

APPLIANCE REPAIRTOTAL CHARGES

t (hours) C (dollars)

1 75

3 145

5 215

7 285

Which of the following equations could be used todetermine the repairman’s charges for a repair?

A. C = 35t + 40 B. C = 40t + 35

C. C = 75t D. C = 45t

6. Speedy Rentals will rent a jet ski for $15.00 plus$3.00 per hour.

Which equation expresses C, the cost of renting ajet ski and riding it for h hours?

A. C = 15h + 3 B. C = 15 + 3h

C. C = 3(15 + h) D. C = 15(h + 3)

7. The equation below is used to find (x, y)coordinates.

y = 3x + 2

Which coordinates could be found using theequation above?

A. B.

C. D.

8. What is the slope of the line y = 3x − 5?

A. −5 B. − 53 C. 5

3 D. 3

9. Look at the table of values.

x y

−1 −4

0 −1

1 2

2 5

3 8

Which equation represents the relationship betweenx and y?

A. y = x − 3 B. y = 3x + 1

C. y = −x − 3 D. y = 3x − 1

page 2 Final Exam Review (Math 1A)

10. Use the two functions below to answer thequestion.

Function A

y = 14x −

23

Function B

x y

2 −8

4 −9

6 −10

8 −11

Which statement about the slopes of the functionsis true?

A. The slopes of both functions are negative.

B. The slopes of both functions are positive.

C. The slope of function A is negative and theslope of function B is positive.

D. The slope of function A is positive and theslope of function B is negative.

11. Which of the following equations represents theline that passes through the points (2,−6) and(−4, 3)?

A. y = − 32x − 7 B. y = − 2

3x − 3

C. y = − 32x − 3 D. y = − 2

3x + 13

12. Bennie is using this pattern to make stars for anAlaska state flag.

What is the slope of line segment AB in Bennie’spattern?

A. 27 B. 4

6 C. 189 D. 7

2

13. Which statement is true?

A. All vertical lines have a slope of zero.

B. All vertical lines have a positive slope.

C. All vertical lines have a negative slope.

D. All vertical lines have an undefined slope.

14. What is the y-intercept for the graph of theequation 3x − 5y = 15?

A. −5 B. −3 C. 3 D. 5

15. Juan is saving to buy a leather basketball that costs$40.00. He already has $12 and will save $3.50per week until he has enough money to buy thebasketball. At this rate, what is the least numberof weeks it will take for Juan to have $40.00?

A. 4 B. 8 C. 12 D. 15


16. What is the equation of the line that has a slopeof 4 and passes through the point (3,−10)?

A. y = 4x − 22 B. y = 4x + 22

C. y = 4x − 43 D. y = 4x + 43

17. Which could be the graph of the equation below?

y = 13x − 2

A. B.

C. D.


18. Which equation could have been used to createthis function table?

A. y =x2

B. y = 2x

C. y = x − 4 D. y = x + 4

19. Tim plotted the points (2, 4) and (6, 10).

What is the equation of a line that passes throughboth of Tim’s parents?

A. y = 23x + 1 B. y = 2

3x + 6

C. y = 32x + 1 D. y = 3

2x + 2

20. In which choice do all the points lie on the sameline?

A. (0,−2), (1,−1), (2, 2), (3, 7)

B. (0, 0), (1, 1), (2, 4), (3, 9)

C. (0, 0), (1, 1), (2, 8), (3, 27)

D. (0, 0), (1, 2), (2, 4), (3, 6)

21. A town’s buildings were graphed on a coordinategrid.

Which equation would represent a line drawn toconnect the Town Hall and Post Office?

A. y = − 23x + 28

3 B. y = − 18x + 53

8

C. y = 35x + 9 D. y = 1

8x + 593

22. How does the graph of f (x) = 2x + 10 change ifthe function is changed to f (x) = −2x + 10?

A. The graph does not change at all.

B. The y-intercept would be different, but theslope would remain the same.

C. The slope would be different, but they-intercept would remain the same.

D. Both the y-intercept and the slope of thegraph would change.


23.

Juan made the first three figures of a pattern.Which function represents the number of dots,f (n), in figure n?

A. f (n) = 4n + 5 B. f (n) = 5n + 2

C. f (n) = 6n + 1 D. f (n) = 8n + 1

24. Which statement does not describe a linearrelationship?

A. All linear equations are straight lines.

B. All linear equations must cross the x-axis.

C. If the slopes of two lines are the same, thelines go in the same direction.

D. If the y-intercepts of two lines are the same,the lines cross the y-axis at the same point.

25. Which graph shows y = −x2?

A.

B.

C.

D.


26. The table below shows the number of times aradio station played the popular song, “NothingNew,” each day for a week.

Which of these best describes the number of times“Nothing New” was played per day?

NUMBER OF TIMES “NOTHINGNEW” WAS PLAYED

Day Number of Times

Sunday 9

Monday 13

Tuesday 13

Wednesday 12

Thursday 14

Friday 3

Saturday 10

A. mean B. median

C. mode D. range

27. Look at the data set.

51, 35, 28, 49, 28, 46, 29

What is the median of the data set?

A. 23 B. 28 C. 35 D. 38

28. What is the mean of the numbers listed below?

31, 42, 46, 47, 51, 51, 68

A. 37 B. 47 C. 48 D. 51

29. A snack bar sells 5 items with a mean (average)price of $0.60, as shown below.

Snack Menu

Chips $0.50

Juice $0.80

Apple $0.60

Candy $0.70

Gum $0.40

Which pair of items could be added to the menuwithout changing the average price?

A. Banana ($0.60) and Soda ($0.75)

B. Banana ($0.60) and Cookie ($0.50)

C. Energy Bar ($0.45) and Cookie ($0.50)

D. Energy Bar ($0.45) and Soda ($0.75)

30. Edgar earned the following scores on his first10 science tests.

73, 86, 91, 87, 88, 79, 82, 93, 90, 86

Which of these will be affected if Edgar earns ascore of 50 on his next test?

A. mean, median, and mode

B. mean and median

C. mean only

D. median only


31. Scoring leaders in the NBA for 1986–1995 hadthese averages:

30, 37, 35, 33, 34, 32, 30, 33, 30, 29

Which box plot accurately illustrates theseaverages?

A.

B.

C.

D.

32. During the summer, Mrs. Duncan teaches at acomputer camp for grades K–12. The ages of thestudents during one session are summarized in thisbox-and-whisker plot.

Ages of Studentsat Computer Camp

Which set of data could have been used toconstruct the box-and-whisker plot?

A. 5, 8, 10, 10, 10, 13, 15

B. 5, 8, 10, 10, 12, 14, 15

C. 5, 6, 10, 10, 11, 15, 15

D. 5, 7, 9, 10, 13, 14, 15

33. Determine the value of x that makes the equationbelow true.

5x + 2 = 42

Which of the following equations is true for thesame value of x?

A. 4x + 2 = 30 B. 3x − 3 = 5

C. 3x + 4 = 20 D. 2x − 4 = 12

34. Solve: 3(x + 5) = 2x + 35

Step 1: 3x + 15 = 2x + 35

Step 2: 5x + 15 = 35

Step 3: 5x = 20

Step 4: x = 4

Which is the first incorrect step in the solutionshown above?

A. Step 1 B. Step 2

C. Step 3 D. Step 4

35. Paula currently has x pencils. She determines thatbuying 8 more pencils will give her the samenumber of pencils as if she bought 2 more andthen doubled the amount of pencils she has. Theequation shown represents this situation.

x + 8 = 2(x + 2)

How many pencils does Paula currently have?

A. 2 pencils B. 4 pencils

C. 6 pencils D. 14 pencils


36. Which of the following statements describes acorrect method for solving the equation below?

20 + 2w = 50

A. Add 20 to both sides of the equation, andthen divide both sides by 2.

B. Subtract 20 from both sides of the equation,and then divide both sides by 2.

C. Divide both sides of the equation by 2, andthen add 20 to both sides.

D. Divide both sides of the equation by 2, andthen subtract 20 from both sides.

37. The table below represents a linear relationship.

x y

0 −3

2 2

4 7

6 12

Based on the table, what is the value of x wheny = 22?

A. 52 B. 16 C. 10 D. 8

38. Anita and Jerry are reading the same book. The graphs below show the numbers of pages Anita and Jerry readeach day for five days.

What is the relationship between the number of pages Anita read each day and the number of pages Jerry readeach day?

A. Anita read half the number of pages Jerry read each day.

B. Anita read the same number of pages Jerry read each day.

C. Anita read two times the number of pages Jerry read each day.

D. Anita read three times the number of pages Jerry read each day.


39. Tanner created the box-and-whisker plots belowusing his mathematics and reading test grades.

If Tanner wants to compare his median grades,which of the following statements is true?

A. Tanner’s median grade is higher inmathematics than reading because the whiskeron the right is larger for his mathematicsscores than his reading scores.

B. Tanner’s median grade is higher inmathematics than reading because thebox-and-whisker plot for mathematics ishigher than it is for reading.

C. Tanner’s median grade is higher in readingthan mathematics because the box on theright is larger for his reading scores than hismathematics scores.

D. Tanner’s median grade is higher in readingthan mathematics because the middle markinside the box for reading is higher than themiddle mark inside the box for mathematics.

40. A college surveyed 3,500 of its students todetermine if the students preferred music, movies,or sports. The results of the survey are shown inthe relative frequency table below.

Music Movies Sports

Freshmen 0.06 0.10 0.09

Sophomores 0.09 0.05 0.10

Juniors 0.10 0.06 0.08

Seniors 0.08 0.09 0.10

How many more seniors than juniors were includedin the survey?

A. 70 B. 105 C. 140 D. 175

41. A book club has 200 members. Each memberwas asked whether he or she prefers fiction ornonfiction books. The results are shown in therelative frequency table below.

Age Fiction Nonfiction Total

21–30 0.32 0.11 0.43

31–40 0.38 0.19 0.57

Total 0.70 0.30 1.00

Which statement is true?

A. 6 more 31–40 year-olds than 21–30 year-oldsprefer fiction.

B. 38 members are 31–40 and prefer fiction.

C. 43 members are 21–30 years old.

D. 140 members prefer fiction.

42. Look at the inequality below.

−2x ≤ 6

Which of these best describes the solution of thisinequality?

A. x ≥ 3 B. x ≥ −3 C. x ≤ −3

43. A number line is shown.

Which equation has the solution shown on thenumber line?

A. −4 > x > −2 B. 4 < −2x < 8

C. 4 > −2x > 8 D. −4 < 2x < −8


44. Study the inequality below.

x < −5

Which graph represents the solution of thisinequality?

A.

B.

C.

D.

45.

Which inequality describes this graph?

A. x > −2 B. x ≥ 2

C. x < 2 D. x ≤ −2

46. Which of these is equivalent to 2y + 5 < 35?

A. y < 15 B. y > 15

C. y < 20 D. y > 20

47. Mary is taking a mathematics test and mustanswer at least 20 problems correctly to earnthe grade she wants. Mary knows she answered5 problems correctly and uses c to represent theremaining problems she must answer correctly.

Which inequality best reflects this situation?

A. 5 − c ≥ 20 B. 5 + c ≥ 20

C. 5 − c ≤ 20 D. 5 + c ≤ 20

48. To raise money, a school club is operating adunking booth at the local fair. The club will pay$120 to rent the booth. Each customer will pay$1.50 to throw a ball at the dunking platform onwhich a person sits. Which inequality could beused to find the number of customers, c, requiredfor the club to make a net profit of at least $350?

A. 1.5c − 120 ≥ 350 B. 1.5c + 120 ≥ 350

C. 1.5c − 120 ≤ 350 D. 1.5c + 120 ≤ 350


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Final Exam Review (Math 1A) 01/05/2015

1.Answer: A

2.Answer: C

3.Answer: A

4.Answer: C

5.Answer: A

6.Answer: B

7.Answer: C

8.Answer: D

9.Answer: D

10.Answer: D

11.Answer: C

12.Answer: D

13.Answer: D

14.Answer: B

15.Answer: B

16.Answer: A

17.Answer: B

18.Answer: D

19.Answer: C

20.Answer: D

21.Answer: B

22.Answer: C

23.Answer: A

24.Answer: B

25.Answer: C

26.Answer: B

27.Answer: C

28.Answer: C

29.Answer: D

30.Answer: B

31.Answer: A

32.Answer: A

33.Answer: D

34.Answer: B

35.Answer: B

36.Answer: B

37.Answer: C

38.Answer: C

39.Answer: D

40.Answer: B

Teacher’s Key Page 2

41.Answer: D

42.Answer: B

43.Answer: B

44.Answer: C

45.Answer: A

46.Answer:

47.Answer: B

48.Answer: A

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