Free Printable Pre-Algebra Final Exam Practice

1.

When the bases are being divided, you multiply the exponents.

a)

TRUE

b)

FALSE

2.

Any base raised to the power of 0 is always:

a)

0

b)

1

3.

Simplify:

\left(5^2\right)\left(5^{-1}\right)

a)

$5^{-3}$

b)

$5^1$

4.

Select ALL expressions that are equivalent to $-2^{-3}$

a)

8

b)

$\frac{-1}{8}$

c)

$\frac{-1}{2^{-3}}$

d)

$\frac{1}{\left(-2\right)^{-3}}$

e)

$\frac{1}{8}$

5.

Simplify, remember you cannot have any negative exponents in your answer!

\left(2x^{-2}y^3\right)^2

a)

$2x^0y^5$

b)

$\frac{2y^6}{x^4}$

c)

$\frac{4y^6}{x^4}$

d)

$\frac{4}{x^4y^6}$

6.

Simplify the expression.
(x⁵ )(x⁵)

a)

x¹⁰

b)

x²⁵

c)

x¹⁶

d)

x⁸

7.

Simplify the expression.
(x⁴ )(x¹²)

a)

x³

b)

x⁴⁸

c)

x¹⁶

d)

x⁸

8.

9⁷•9⁹

a)

9¹⁶

b)

99⁷⁹

c)

81¹⁶

9.

15⁹÷15^{3 =}

a)

15⁶

b)

15¹²

c)

1⁶

d)

1¹²

10.

What is equal to $14^2$ ?

a)

121

b)

196

c)

144

d)

169

11.

√ 64

a)

4 and -4

b)

6 and -6

c)

9 and -9

d)

8 and -8

12.

∛216

a)

6

b)

72

c)

108

d)

4

13.

Is 225 a perfect square?

a)

Yes

b)

No

14.

Which of the following is NOT a perfect square?

a)

1

b)

4

c)

100

d)

8

15.

What is the cube root of 125?

a)

5

b)

-5

c)

25

d)

-25

16.

∛1000

a)

10

b)

9

c)

8

d)

11

17.

What is .8 in fraction form? Write in simplest form.

a)

4/3

b)

4/5

c)

8/100

d)

8/1000

18.

Express 56% as a decimal.

a)

0.056

b)

5.6

c)

0.56

d)

0.0056

19.

Express 11/50 as a percent.

a)

220%

b)

22%

c)

50%

d)

55%

20.

James took a quiz and got 15 questions out of 20 questions right what was his grade percentage?

a)

10%

b)

50%

c)

100%

d)

75%

21.

What is the percent?

a)

20 %

b)

60%

c)

80%

d)

.60%

22.

Order 2/3, 4/5, 8/15 and 3/5 from least to greatest

a)

4/5, 2/3, 3/5, 8/15

b)

8/15, 3/5, 2/3, 4/5

c)

2/3, 3/5, 4/5, 8/15

d)

2/3, 4/5, 3/5, 8/15

23.

Order 5/8, 0.5, 58.3% from greatest to least.

a)

5/8, 0.5, 58.3%

b)

5/8, 58.3%, 0.5

c)

58.3%, 5/8, 0.5

d)

58.3%, 0.5, 5/8

24.

20 x 2 - (10 - 4)

a)

22

b)

30

c)

34

25.

14 + (22 - 2) =

a)

34

b)

37

c)

40

26.

Solve:
30 - 7 x 4

a)

2

b)

92

c)

7

d)

84

27.

(2x8)-9+7

a)

14

b)

12

c)

15

d)

16

28.

8+ (2x12)

a)

56

b)

32

c)

23

29.

Solve:

2x-3+4x = 27

a)

x = 12

b)

x = 4

c)

x = 5

d)

x = 15

30.

Solve:

21 = 3(3n-5)

a)

n = 3

b)

n = 4

c)

n = 9

d)

n = 11

31.

Solve:

3(x-6)+2x = 22

a)

x = 8

b)

x = 2

c)

x = 18

d)

x = 3

32.

Solve:

-11+3(b+5) = 7

a)

b = -1

b)

b = 1

c)

b = -3

d)

b = 3

33.

Solve:

-2(x-3)+4 = 24

a)

x = -14

b)

x = -7

c)

x = 7

d)

x = -14

34.

Solve:

3x-2(4-4x) = 3

a)

x = -2

b)

x = -11

c)

x = 3

d)

x = 1

35.

Draw a graph for x > 5

a)

b)

c)

d)

36.

Write an inequality for the following graph

a)

b)

c)

d)

37.

Solve an inequality

a)

b)

c)

d)

38.

You flip an inequality symbol when you...

a)

subtract

b)

multiply and divide only

c)

multiple by a negative number

d)

multiple or divide by a negative number

39.

Solve:

-3 − 6(4x + 6) > -111

a)

x > 3

b)

x < 3

c)

x < -3

d)

x > -3

40.

$\frac{3}{4}x+5>11$

a)

$x>8$

b)

$x>-8$

c)

$x>-1$

d)

$x<4$

41.

Do I need to flip my sign?
-3x ≥ 12

a)

Yes

b)

No

42.

-2x + 3(-4x + 6) ≤116

a)

x ≤ -7

b)

x ≥ 29

c)

x ≥ -7

d)

x ≤ 29

43.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

44.

What is the FIRST step to solving this inequality?

-4\left(x-9\right)+2x\ge-27

a)

Subtract 2x on both sides

b)

Distribute: multiply -4 by x and by -9

c)

Add x to 2x

d)

Add 9 to both sides

45.

Solve:

3(x - 2) < 2(x + 9)

a)

x<24

b)

x>12

c)

x<12

d)

x>24

46.

Are -c and 4c like terms?

a)

Yes

b)

No

47.

Are 3x and 3 like terms?

a)

Yes

b)

No

48.

Combine like terms:

6x + 1 + 7x =

a)

13x - 1

b)

14x

c)

7x + 6x + 1

d)

13x + 1

49.

Simplify using the distributive property:

-4(k - 7) =

a)

-4k + 28

b)

-4k - 28

c)

4k + 28

d)

4k - 28

50.

What is the simplified version of this expression? $-4(8r+3)=$

a)

$-32r-12$

b)

$32r-12$

c)

$-32r+12$

d)

$32r+12$

51.

3(5 + 3x) - 4x

a)

-x + 8

b)

7x + 15

c)

5x + 15

d)

7x + 8

52.

4(x+3) - 5

a)

4x + 7

b)

4x - 2

c)

4x - 17

d)

4x + 2

53.

Solve for g in the proportion

\frac{10}{h}=\frac{2}{10}

a)

h=10

b)

h=2

c)

h=50

d)

h=100

54.

Solve for n

\frac{n}{4}=\frac{8}{7}

a)

5

b)

32

c)

4

d)

32/7

55.

Find the scale factor going from the small triangle to the larger triangle

a)

3

b)

1/3

c)

2

d)

5

56.

Find the scale factor from triangle PQR to triangle DEF

a)

1.5

b)

2/3

c)

.6

d)

2

57.

Are the triangles similar?

a)

yes

b)

no

58.

Are the triangles similar?

a)

yes

b)

no

59.

What is the total cost with sales tax?
Price $17.95
Tax 6%

a)

$19.03

b)

$18.50

c)

$1.08

d)

$2.15

60.

Mr. Barrett bought a new battery for his car. The battery cost $72. Since batteries are a taxable item, he had to pay a sales tax of 7.5%. What was the total cost of the battery in dollars and cents?

a)

$79.50

b)

$5.40

c)

$77.40

d)

$66.60

61.

Jessica is wanting to buy a $10.00 box of candy. The sales tax is 5%. How much is the total for the candy?

a)

$15.00

b)

11.00

c)

$12.00

d)

$10.50

62.

A pair of boots are $94.99. They are 25% off. With this discount, what is the sale price? Round to nearest cent if necessary.

a)

$71.24

b)

$118.74

c)

23.7475

d)

$23.75

63.

The whole sale cost of a bicycle is $75. There is a mark-up of 55%. What is the sale price of the bike?

a)

$41.25

b)

$75

c)

$116.25

d)

$125

64.

What percent of 32 is 10?

a)

0.32%

b)

32%

c)

0.3125%

d)

31.25%

65.

Principal = $500
Interest rate =5%
Time = 5 years
What is the interest earned?

a)

95

b)

105

c)

125

d)

135

66.

Emilio borrows $1200 from a bank with 8% simple interest per year. How much will he have to pay back total in 2 years?

a)

$150

b)

$192

c)

$1350

d)

$1392

67.

Dan borrowed $2,000 for 6 months at 12% annual simple interest rate. How much interest is that?

a)

$120

b)

$144

c)

$1,200

d)

$1,440

68.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Dependent variable

69.

Which graph does NOT pass the vertical line test? A vertical line should only touch one point at a time, if it is a function.

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

70.

Find the slope of the line through the pair of points

(−4, 7), (−6, −4)

a)

1/5

b)

2/11

c)

11/2

d)

10/11

71.

Find the slope of the line through the pair of points

(19, −2), (−11, 10)

a)

2/5

b)

-2/5

c)

0

d)

Undefined

72.

What is the slope and y-intercept of the line? y = -5x + 17

a)

slope = 5, intercept = 17

b)

slope = -5, intercept = 17

c)

slope = 17, intercept = -5

d)

slope = -17, intercept = 5

73.

What is the slope and y-intercept of the line? y = 2x – 5

a)

slope -2, y-intercept -5

b)

slope 2, y-intercept 5

c)

slope 2, y-intercept -5

d)

slope 5, y-intercept -2

74.

What is the equation for the given line?

a)

y = x + 1

b)

y = x - 1

c)

y = -x + 1

d)

y = -x - 1

75.

What is the approximate constant rate of change in miles per minute?

a)

about 8 miles per minute

b)

about 12 miles per minute

c)

about 10 miles per minute

d)

about 290 miles per minute

76.

What is the rate of change in students per school bus?

a)

72 students per school bus

b)

144 students per school bus

c)

36 students per school bus

d)

40 students per school busy

77.

What is the rate of change in students per school bus?

a)

72 students per school bus

b)

144 students per school bus

c)

36 students per school bus

d)

40 students per school busy

78.

What is the constant rate of change in miles per hour while driving in the city?

a)

25 miles per hour

b)

2 miles per hour

c)

60 miles per hour

d)

30 miles per hour

79.

Which statement is true?

a)

Taylor can write 6 words per minute

b)

Taylor can write 25 words per minute

c)

Taylor can write 50 words per minute

d)

Taylor can write 150 words per minute

80.

What is the constant rate of change between the quantities in the table?

a)

$1 per hour

b)

$40 per hour

c)

$5 per hour

d)

$10 per hour

81.

If students spend more time using TikTok, then they will read fewer books. Identify the independent variable.

a)

amount of time on TikTok

b)

number of books read

c)

There isn't one.

82.

Taking a nap in the afternoon makes people more focused for the rest of the day. Identify the dependent variable.

a)

Taking a nap

b)

Being focused

c)

There isn't one.

83.

Eating breakfast in the morning increases the ability to learn in school. Identify the independent variable.

a)

eating breakfast

b)

ability to learn in school

c)

There isn't one.

84.

a)

Complementary

b)

Supplementary

c)

Adjacent

d)

Vertical

85.

Find the value of x.

a)

140

b)

40

c)

180

d)

100

86.

What is the angle relationship?

a)

Alternate Interior

b)

Corresponding

c)

Same Side Interior

d)

Same Side Exterior

87.

The angles are

a)

Congruent

b)

Supplementary

88.

Supplementary angles equal

a)

90 degrees

b)

180 degrees

c)

360 degrees

d)

270 degrees

89.

What is the angle relationship?

a)

Same Side Interior

b)

Adjacent

c)

Corresponding

d)

Vertical

90.

Parallel lines

a)

Will never intersect

b)

Go on and on forever

c)

Have the same distance between them at all points

d)

All of the above

91.

What is the measure of angle x?

a)

74 because they are congruent

b)

74 because they are supplementary

c)

106 because they are congruent

d)

106 because they are supplementary

92.

The side that is missing is

a)

the hypotenuse

b)

a leg

c)

We aren't missing a side

d)

the right angle

93.

Find the missing side.

Round your answer to the nearest tenth.

(a)

94.

Find the missing side length. Round your answer to the nearest tenth.

(a)

95.

What is the relationship between the sides in the Pythagorean Theorem shown?

Hint: Think about when the hypotenuse is missing!

a)

a + b = c

b)

a² + b² = c²

c)

a² – b² = c²

d)

a – b = c

96.

Find the missing side.

a)

18

b)

16

c)

17

d)

19

97.

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.

a)

45°

b)

90°

c)

180°

d)

360°

98.

Find the measure of each angle indicated.

a)

33°

b)

136°

c)

36°

d)

31°

99.

Find the measure of each angle indicated.

a)

140°

b)

21°

c)

105°

d)

25°

100.

Find the measure of each angle indicated.

a)

139°

b)

66°

c)

138°

d)

116°

101.

Find the measure of each angle indicated.

a)

40°

b)

33°

c)

30°

d)

29°

102.

Find the measure of each angle indicated.

a)

139°

b)

66°

c)

138°

d)

116°

103.

Reflect (6, -3) over the line x-axis.

a)

(6, 3)

b)

(-6, -3)

c)

(-3, 6)

d)

(3, -6)

104.

The original figure prior to a transformation.

a)

Pre-image

b)

Image

105.

Write a rule for the translation.

a)

(x -1, y + 2)

b)

(x -2, y + 1)

c)

(x +2, y - 1)

d)

(x +1, y - 2)

106.

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

a)

Translated 5 units down and 5 units to the right

b)

Translated 5 units down and 1 to the right

c)

Translated 8 units down and 5 units to the right

d)

Translated 5 units down and 4 units to the right

107.

When you rotate 180 degrees the ( x , y ) becomes ?

a)

( y , x )

b)

( -y , x )

c)

( -x , y )

d)

( -x , -y )

108.

Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

a)

A

b)

B

c)

C

d)

D

109.

What shape will the vertical cross -section of a cylinder be?

a)

Circle

b)

Triangle

c)

Rectangle

d)

Ellipse

110.

What shape will the horizontal cross-section of a cone be?

a)

Dome

b)

Circle

c)

Pyramid

d)

Triangle

111.

What shape will the vertical cross-section of a cube be?

a)

Square

b)

Triangle

c)

Trapezoid

d)

Circle

112.

Describe the cross section.

a)

trapezoid

b)

triangle

c)

rectangle

d)

square

113.

What is the volume of this prism?

a)

18 cubic cm

b)

6 cubic cm

c)

9 cubic cm

114.

Lucia has a triangular prism that has a length of 6 cm, a width of 4 cm, and a height of 8cm. What is the volume?

a)

96cm³

b)

54cm³

c)

80cm³

d)

24cm³

115.

Find the area of a trapezoid with bases of 5 feet and 7 feet, and a height of 3 feet.

a)

18

b)

36

c)

72

d)

40

116.

Find the Area:

a)

84 m²

b)

168 m²

c)

112 m²

d)

56 m²

117.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

118.

Solve 3x - 7 = 32

a)

13

b)

3

c)

12

d)

7

119.

33 = 4a - 7

a)

a=-10

b)

a=10

c)

a=4.5

120.

Which equation uses the correct formula to find the surface area of the shape?

a)

$10\cdot2\cdot3$

b)

$2\cdot10\cdot2$ + $2\cdot10\cdot3$ + $2\cdot2\cdot3$

c)

$3.14\ \cdot\ 2^2\cdot3$

d)

$2\cdot3.14\ \cdot\ 2^2+2\cdot\ 3.14\cdot\ 2\cdot\ 3$

121.

Which answer correctly uses the formula to find the volume of the figure shown?

a)

$3.14\ \cdot\ 9^2\cdot\ 17$

b)

$3.14\ \cdot\ 4.5^2\cdot17$

c)

$3.14\ \cdot\ 17^2\cdot\ 9$

d)

$3.14\ \cdot\ 8.5^2\cdot9$

122.

What is the lateral surface area of the triangular prism shown?

a)

84 yd²

b)

72 yd²

c)

65 yd²

d)

57 yd²

123.

Find the volume of the cone.

a)

113.04

b)

37.68

c)

12.57

d)

75.42

124.

Find the volume of the Sphere

a)

78.5 m³

b)

392.5 m³

c)

523.6 m³

d)

62.8 cm³

125.

Solve.

a)

102 m²

b)

39 m²

c)

51.2 m

d)

81 m²

126.

Find the area of the composite figure

a)

3 ft²

b)

51.5 ft²

c)

32 ft²

d)

44 ft²

127.

a)

b)

c)

d)

128.

Find the volume.

a)

22

b)

132

c)

66

d)

60

129.

^{_{Find the Surface Area}}

a)

15m²

b)

16m²

c)

18m²

d)

20m²

130.

Find the surface area of the triangular pyramid.

a)

123.6 sq. feet

b)

116.8 sq. feet

c)

127.9 sq. feet

d)

130.9 sq. feet

131.

Find the volume of the sphere

a)

14.14m³

b)

113.1m³

c)

17.16m³

d)

17.7m³

132.

Find the volume of the sphere

a)

523.6cm³

b)

314.16cm³

c)

4188.79cm³

d)

1256.64cm³

133.

Find the surface area of the sphere

a)

9160.88cm²

b)

2290.22cm²

c)

10305.99cm²

d)

82447.96cm²

134.

Which formula calculates the volume of a sphere?

a)

$\frac{4}{3}\pi r^3$

b)

$4\pi r^2$

c)

$\frac{1}{3}\pi r^3$

d)

$\pi r^2$

135.

Which formula calculates the surface area of a sphere?

a)

$\frac{4}{3}\pi r^3$

b)

$4\pi r^2$

c)

$\frac{1}{3}\pi r^3$

d)

$\pi r^2$

Pre-Algebra Final Exam Practice

Total questions: 135

Worksheet time: 34hrs 45mins

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