Semester Exam Liberal Arts Mathematics Name: Date · 2018. 10. 4. · Semester Exam Liberal Arts Mathematics Name: Date: 1. The bakery sold 3,982 pies last year. They sold 5,004 pies

Semester Exam Liberal Arts Mathematics

Name: Date:

1. The bakery sold 3,982 pies last year. They sold5,004 pies this year. How many more pies did thebakery sell this year than last year?

A. 1,022 B. 1,082 C. 1,182 D. 2,022

2. What is the solution to the expression?

3 − 4(

12

)+ 7

A. 3 B. 6 12 C. 7 1

2 D. 8

3. What is the quotient when 51 is divided by −17?

A. 34 B. 3 C. −3 D. −34

4. Which property of multiplication shows that25 × (4 × 83) = (25 × 4) × 83?

A. associative B. commutative

C. distributive D. identity

5. Which of the following equations illustrates theinverse property of multiplication?

A. 5 × 15 = 1 B. 5 × 1 = 5

C. 5 × 0 = 0 D. 5 × 5 = 25

6. Which statement is false?

A. The order in which two whole numbers aresubtracted does not affect the difference.

B. The order in which two whole numbers areadded does not affect the sum.

C. The order in which two rational numbers areadded does not affect the sum.

D. The order in which two rational numbers aremultiplied does not affect the product.

7. Which number does not have a reciprocal?

A. −1 B. 0 C. 11000 D. 3

page 1

8. When is this statement true?

The opposite of a number isless than the original number.

A. This statement is never true.

B. This statement is always true.

C. This statement is true for positive numbers.

D. This statement is true for negative numbers.

9. Which expression is equivalent to 75 × 710?

A. 715 B. 750 C. 4915 D. 4950

10. Which of the following has a value of 40?

A. 410 B. 85 C. 42 × 5 D. 23 × 5

11. Which set below shows the integers in order fromleast to greatest?

A. {−2, −3, 2, 3} B. {2, 3, −3, −2}

C. {−3, −2, 2, 3} D. {3, 2, −2, −3}

12. Lisa has the following cards for a math game.

She earns the most points on her next turn byplaying the card with the largest value. Whichcard should Lisa play to earn the most points?Show all of your work or explain your thinkingeven if you use mental math.

Answer: card

13. What is the value of the expression?√(3 − 2 + 4)2

(4 · 2 − 7)3

A. −1

4B. 1 C.

2

3D. 5

14. Which statement is true?

A. 7 <√

65 < 8 B. 4 <√

13 < 5

C. 6 <√

33 < 7 D. 9 <√

91 < 10

page 2 Semester Exam Liberal Arts Mathematics

15. Which of the following does not show a closeapproximation?

A.√

18 ≈ 4.2 B.√

23 ≈ 11.5

C.√

62 ≈ 7.9 D.√

80 ≈ 8.9

16. Tonya had 15 stickers. She gave 9 to her friends.Which number sentence shows how many stickersTonya has left?

A. 15 − 9 = B. 15 + 9 =

C. − 15 = 9 D. − 9 = 15

17. Ross has 5 friends. He gave 8 pencils to eachfriend. Which number sentence could be used tofind the total number of pencils Ross gave to hisfriends?

A. = 8 × 5 B. = 8 + 5

C. = 8 − 5 D. = 8 ÷ 5

18. A group of 9 students bought tickets to a play.Each ticket cost dollars. The total amountthey spent on tickets was $45. This is shown inthe number sentence below.

9 × = 45

What was the price of each ticket in dollars?

A. 5 B. 6 C. 36 D. 54

19. Write a number sentence to show how to solve theproblem in the box. Be sure to include the answerin your number sentence.

Marianne has 27 baseball cards. Dave has36 baseball cards. How many more baseballcards does Dave have than Marianne?

20. Milan is giving away 18 stickers to 3 of hisfriends. He gives each friend the same number ofstickers. One of the friends, Nelly, already had2 stickers. Which number sentence can be used tofind the total number of stickers, n, Nelly has?

A. 18 − 3 × 2 = n B. 18 − 3 + 2 = n

C. 18 ÷ 3 + 2 = n D. 18 ÷ 3 × 2 = n


21. A factory uses 220,000 gallons of water to produce2 tons of steel. How many gallons of water areneeded to produce 1 pound of steel?

A. 55 gallons B. 110 gallons

C. 110,000 gallons D. 440,000 gallons

22. Cameron knows that 2 dogs are given 8 cups offood and 3 dogs are given 12 cups of food. Howmuch food will be given to 5 dogs?

A. 15 cups B. 16 cups

C. 20 cups D. 25 cups

23. 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.


24. Which of these lines has a slope of −3?

A. B.

C. D.


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

A. −5 B. −3 C. 3 D. 5

26. Which table of values can be used to graph theequation below?

y = 2x + 1

A.

B.

C.

D.


27. Which line graph appears to contain the points on the table below?

x −1 0 1 2

y −1 1 3 5

A. B.

C. D.


28. Dan went to a craft fair where he spent a total of$16.00. He spent $6.00 on admission and went to8 tables. He spent the same amount of money (m)at each table. The following number sentence canbe used to find how much money he spent at eachtable.

16 = 6 + 8m

How much money did Dan spend at each table?

A. $0.50 B. $0.80 C. $1.25 D. $2.00

29. Toni needs to solve the equation shown below.

34 t = 6

20

What operation should Toni perform to solve theequation for t?

A. multiply both sides by 34

B. divide both sides by 34

C. add 34 to both sides

D. subtract 34 from both sides

30. For what value of x will 3x + 4 = x − 6 be a truestatement?

A. x = −5 B. x = − 52

C. x = −1 D. x = − 12

31. Bonita spent $8.94 on groceries. She bought agallon of milk for $4.29 and 3 pounds of slicedturkey. How much does 1 pound of sliced turkeycost?

A. $1.43 B. $1.55 C. $2.08 D. $2.98

32. Which point best represents the solution to thesystem of linear equations shown in the graphbelow?

A. (−4, 3) B. (3,−4)

C. (4,−3) D. (−3, 4)


33. Solve the system of equations below.

x + y = 5−4x − 2y = −8

Which point on the graph below is the solution tothe system of linear equations?

A. W B. X C. Y D. Z

34. What is the apparent solution to the system ofequations graphed below?

A. (−2,−2) B. (−2, 2)

C. (2,−2) D. no solution

35. Look at the following equations.

8p = 12 − 2qq + 4p = 6

Which statement is true about the lines graphedfrom the equations?

A. They coincide.

B. They are parallel.

C. They are perpendicular.

D. They intersect but are not perpendicular.


36. Marcy has a total of 100 dimes and quarters. Ifthe total value of the coins is $14.05, how manyquarters does she have?

A. 27 B. 40 C. 56 D. 73

37. Which of the following best describes the graphof this system of equations?{

y = −2x + 35y = −10x + 15

A. two identical lines

B. two parallel lines

C. two lines intersecting in only one point

D. two lines intersecting in only two points

38. What value of x would make the followingproportion true?

6

x − 4=

3

4

A. 12 B.28

3C. 4 D.

1

8


39. Which graph represents the inequality y < 2x?

A. B.

C. D.


40. Which is a correct procedure for solving the linearinequality below?

2y + 8 > 4 − 6y

A. 2y + 8 > 4 − 6y−4y + 8 > 4−4y > −4

y > 1

B. 2y + 8 > 4 − 6y8y + 8 > 4

8y > −4

y > − 12

C. 2y + 8 > 4 − 6y−4y + 8 > 4−4y > −4

y < 1

D. 2y + 8 > 4 − 6y8y + 8 > 4

8y > −4

y < − 12

41. Which is the solution to the inequality?

2x − 3 ≥ −4x + 2

A. x ≥ 12 B. x ≤ 1

2 C. x ≥ 56 D. x ≤ 5

6

42. What is the solution to the inequality below?

12x > 5(x − 2)

A. x > − 27 B. x < − 2

7

C. x > − 107 D. x < − 10

7

43. Which of the following expressions is equivalentto (6xy)2?

A. 12x2y2 B. 6xy2

C. 36x2y2 D. 6x2y2

44. Simplify: 2y(3x + 5y − 4)

A. 5xy + 10y − 8y B. 5xy + 10y2 + 8y

C. 6xy + 10y + 8y D. 6xy + 10y2 − 8y

45. What is the value of the expression?√64x16y4

A. 8x4y2 B. 8x8y2

C. 32x4y2 D. 32x8y2


46. The graph of y = f (x) is given.

Which is the graph of y = f (x + 1) − 2 ?

A. B.

C. D.


47. What is the value of 8x + 2y when x = 5 andy = 9?

A. 24 B. 58 C. 61 D. 82

48. The lowest temperature recorded in the UnitedStates was −80◦ Fahrenheit, at Prospect Creek,Alaska. The formula below can be used to convertdegrees Fahrenheit (◦F) to degrees Celsius (◦C).

◦C =◦F − 32

1.8

What is −80◦ Fahrenheit converted to the nearestwhole degree Celsius?

A. −62◦ Celsius B. −27◦ Celsius

C. 27◦ Celsius D. 62◦ Celsius

49. What is the value of this expression when y = 3and z = 4?

(yz)2

A. 14 B. 24 C. 48 D. 144

50. What is the value of the expression below whena = 6 and b = 2?

4b + ab ÷ (a − b)

A. 5 B. 9 C. 11 D. 16


Semester Exam Liberal Arts Mathematics Name: Date · 2018. 10. 4. · Semester Exam Liberal Arts Mathematics Name: Date: 1. The bakery sold 3,982 pies last year. They sold 5,004 pies

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