wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

Final Exam Study Guide

Total questions: 44

Worksheet time: 22mins

Name
Class
Date
1.

What is the sum of -9, -5, 8, and 3?

a)

-3

b)

-1

c)

5

d)

-7

2.

Simplify: | -7 - 5| + -26

a)

-14

b)

-12

c)

14

d)

-8

3.

What is the order of the set of numbers 5.7, | -6|, 11/2, -7 from least to greatest?

a)

-7, 5.5, 5.7, 6

b)

-7, 5.7, 5.5, 6

c)

5.5, -7, 5.7, 6

d)

-7, 6, 5.5, 5.7

4.

In Indianapolis, Indiana the temperature for the day was -12°F. The temperature in Miami, Florida was 88°F. What was the range in the temperatures?

a)

100°F

b)

76°F

c)

120°F

d)

80°F

5.

Enrique took two tests on the same day. He scored an 88% on the first test and got 5/6 of the questions right on the second test. On which test did he earn a higher percent?

a)

First test (88%) is higher.

b)

Second test (5/6) is higher.

c)

Both tests are equal.

d)

Not enough information to determine.

6.

Melody had 16 yards of fabric to make her prom dress. She used 2 1/2 yards for the top and 6 3/4 yards for the skirt. How many yards of fabric did Melody have left over after making her prom dress?

a)

6 3/4 yards

b)

7 1/2 yards

c)

8 1/2 yards

d)

5 3/4 yards

7.

The Williams family is driving 50 miles to visit Kutztown University. If they have traveled 0.58 of the distance, how many miles have they traveled?

a)

29 miles

b)

25 miles

c)

35 miles

d)

40 miles

8.

Compare using <, >, = : -0.11 ____ -1/9

a)

>

b)

<

c)

=

d)

!=

9.

Solve –3x + 5, when x = 4 and when x = -4

a)

When x = 4: -7; When x = -4: 17

b)

When x = 4: 7; When x = -4: -17

c)

When x = 4: -17; When x = -4: 7

d)

When x = 4: 17; When x = -4: -7

10.

Solve for x: 5(2x - 3) = 15

a)

x = 2.1

b)

x = 1.5

c)

x = 3

d)

x = 0

11.

What should be done first to solve for x in 2(x - 3) = 8?

a)

Divide both sides by 2 or distribute the 2 (either is acceptable as a first step)

b)

Add 3 to both sides

c)

Subtract 8 from both sides

d)

Multiply both sides by 3

12.

Christine bought 4 Sharpies for a total cost of $5. Write an equation to represent this situation: ________________ = 5

a)

4x = 5

b)

x + 4 = 5

c)

x/4 = 5

d)

4 + x = 5

13.

Write 4x - 6 as a word phrase.

a)

Four times a number minus six

b)

Four times a number plus six

c)

Six times a number minus four

d)

Four minus six times a number

14.

Simplify the expression: 7x - 8y + 2y - 9x

a)

-2x - 6y

b)

2x - 6y

c)

-2x + 6y

d)

2x + 6y

15.

Solve the inequality: -6x - 2 ≤ -20

a)

x ≥ 3

b)

x ≤ 3

c)

x ≥ -3

d)

x ≤ -3

16.

Graph the solution to the inequality: 2x < 6

a)

x < 3 (The graph should show an open circle at 3 and shading to the left)

b)

x > 3 (The graph should show an open circle at 3 and shading to the right)

c)

x ≤ 3 (The graph should show a closed circle at 3 and shading to the left)

d)

x > -3 (The graph should show an open circle at -3 and shading to the right)

17.

Last week Daniel spent 27 on 3 movies. This week he spent\text{}27\ on\ 3\ movies.\ This\ week\ he\ spent 54 on 6 movies. If each movie costs the same amount of money, what is the constant of proportionality between the money spent and the number movies watched?

a)

9

b)

18

c)

27

d)

54

18.

In a recent season the Eagles won 4 out of 16 games. None of the games ended in a tie. What percent of the games were losses?

a)

25%

b)

50%

c)

75%

d)

80%

19.

The Art Club membership increased by 30%. If there were 30 students in the club before, how many total students are there now?

a)

33

b)

36

c)

39

d)

40

20.

The total bill for dinner was $47. You want to leave the waitress a 20% tip. What will your total bill be?

a)

$56.40

b)

$54.00

c)

$50.00

d)

$57.00

21.

You have a canvas that is 2 feet in width and 5 feet in length. You enlarge the canvas to have a length of 15 feet. What is the width of the enlarged canvas?

a)

4 feet

b)

6 feet

c)

2 feet

d)

10 feet

22.

The scale in a drawing is 2 in: 7 m. If the length of a rectangular object in the drawing is 8 in and the width is 4 in, what is the area of the object?

a)

56 m²

b)

112 m²

c)

392 m²

d)

784 m²

23.

A car drives 2/15 of a mile in 10 minutes. If they drive at the same rate, what portion of a mile will the car have gone in 1 hour?

a)

4/1 or 4 miles

b)

2/3 mile

c)

1/2 mile

d)

1 mile

24.

The cost for a pair of Nike sneakers was 110. The cashier took110.\ The\ cashier\ took 22 off. What percent did the cashier take off?

a)

20%

b)

15%

c)

10%

d)

25%

25.

What is the simple interest earned if $2000 was invested at 5% for 2 years?

a)

$200

b)

$100

c)

$300

d)

$250

26.

Classify the triangle with measures 15 degrees and 30 degrees.

a)

Acute triangle (since all angles are less than 90 degrees)

b)

Right triangle (since one angle is 90 degrees)

c)

Obtuse triangle (since one angle is greater than 90 degrees)

d)

Equilateral triangle (since all angles are equal)

27.

What is the diameter of a circle if the circumference is 15.7 m?

a)

5 m

b)

10 m

c)

2.5 m

d)

7.85 m

28.

What is the perimeter of a SQUARE with area 36 square inches?

a)

24 inches

b)

12 inches

c)

36 inches

d)

18 inches

29.

Molly is designing a triangular park with base 110 feet and height 75 feet. What is the area of the park?

a)

4,125 square feet

b)

8,250 square feet

c)

2,750 square feet

d)

6,150 square feet

30.

What is the complement and the supplement to an angle that is 45 degrees?

a)

Complement: 45 degrees, Supplement: 135 degrees

b)

Complement: 35 degrees, Supplement: 125 degrees

c)

Complement: 55 degrees, Supplement: 145 degrees

d)

Complement: 40 degrees, Supplement: 130 degrees

31.

Find the surface area of a rectangular prism with length 5 cm, height 4 cm, and width 7 cm.

a)

134 cm²

b)

120 cm²

c)

140 cm²

d)

154 cm²

32.

Find the volume of a cylinder with radius 4 in and height of 8 in.

a)

128π in³ or approximately 402.12 in³

b)

64π in³ or approximately 201.06 in³

c)

256π in³ or approximately 804.25 in³

d)

32π in³ or approximately 100.53 in³

33.

A bag of marbles has 5 green, 3 blue, and 5 red marbles. What is the probability of drawing a blue marble?

a)

3/13

b)

5/13

c)

3/10

d)

5/10

34.

The average from 3 tests that were taken was 87. If the first test was 90, and the second test was 88, what was the score of the third test?

a)

83

b)

85

c)

80

d)

90

35.

Betty can make 60 lunch combinations from sandwiches, soups, and drinks. If there are 5 sandwiches and 6 soups, how many drink options are there?

a)

2

b)

3

c)

4

d)

5

36.

The letter tiles S-U-M-M-E-R are drawn out of a bag at random. What is the probability of choosing a vowel?

a)

2/6 or 1/3

b)

1/2

c)

1/6

d)

3/6 or 1/2

37.

Given that h ∥ m, find the measure of angle 1.

a)

60°

b)

45°

c)

90°

d)

120°

38.

Which box and whisker plot has a higher IQR (Inner Quartile Range)?

a)

Plot A

b)

Plot B

c)

Both have the same IQR

d)

Cannot be determined

39.

What is the mean (average) number of fan letters written to Taylor Swift written by Pennbrook students?

a)

6

b)

3

c)

9

d)

12

40.

The iPhone offers 5 different models of phones: iPhone 14 Pro, iPhone 14, iPhone 13, iPhone SE and iPhone 12. Each phone comes in 2 different colors: black and white. How many different combinations can someone order when walking into the Apple store?

a)

10

b)

5

c)

12

d)

8

41.

Jackson wants to buy a pair of new Air pods that cost 249. He has already saved249.\ He\ has\ already\ saved 152 from birthday gifts the past few years. If he saves $16 per month, how many more months will he need save in order to purchase new headphones?

a)

7 months

b)

5 months

c)

10 months

d)

12 months

42.

Circle the number that is closer to zero: 3/7 or −|0.4|

a)

3/7

b)

−|0.4|

43.

Which Ice Cream Company pays their staff flat fee of 8pershiftandplusanhourlyrateof8 per shift and plus an hourly rate of 4 per hour?

a)

Company A

b)

Company B

44.

Mrs. Wittig is making built-in shelves for her office. She purchases a big piece of wood that is 12 feet long and cuts 8 1/2 ft from the board for the built-ins. With the remaining wood, she wants to make a shoe rack for her entry way. If she needs pieces that are 0.5 ft long for each shelf, how many shelves can she make with the remaining wood?

a)

7

b)

5

c)

9

d)

4