Free Printable Pre-Algebra Review

1.

Simplify the expression.
-b + 2 + 9b

a)

2 + 8b

b)

2 - 8b

c)

-8b + 2

d)

-2 - 8b

2.

Simplify the expression.
2m - 8 - 2m - 1

a)

0

b)

9

c)

-9

d)

4m - 9

3.

Simplify the expression.
-1 + 4n + 8 + 6n

a)

10m + 9

b)

10n + 7

c)

10

d)

3n

4.

Simplify the expression.
v + 2 + v + 8

a)

v + 10

b)

2v + 6

c)

2v

d)

2v + 10

5.

Simplify the expression
-5 + 9

a)

4

b)

15

c)

-4

d)

-14

6.

Simplify the expression.
- 20 + 7

a)

13

b)

-13

c)

-27

d)

27

7.

Simplify the expression.
-9 + (-4)

a)

13

b)

-13

c)

5

d)

-5

8.

Simplify the expression.
83 + (-53)

a)

20

b)

40

c)

-40

d)

30

9.

Simplify the expression.
13x - 4y + 2x - y + 3

a)

15x - 4y - y + 3

b)

13x - 5y + 2x + 3

c)

15y - 5x - 3

d)

15x - 5y + 3

10.

2 (x + 4)

a)

2x + 4

b)

2x + 8

c)

2x + 6

d)

10x

11.

-3 (a + 3)

a)

3a - 9

b)

-3a + 9

c)

3a + 9

d)

-3a - 9

12.

(x + 10) (-2)

a)

-2x + 20

b)

-2x - 20

c)

2x - 20

d)

2x + 20

13.

3x (y + 4)

a)

3x3y + 4x

b)

3xy + 4x

c)

3xy + 12x

d)

3x + 3y + 12

14.

-10 (-3x - 5y)

a)

30x - 50y

b)

-30x - 50y

c)

80xy

d)

30x + 50y

15.

(-n + 3) (-8)

a)

n - 5

b)

n + 24

c)

8n - 24

d)

-8n - 24

16.

Solve 2x - 3 = 1

a)

3

b)

2

c)

1

d)

-2

17.

Solve -3x + 5 = -16

a)

9

b)

8

c)

-7

d)

7

18.

Solve 7 - 3y = 22

a)

-5

b)

5

c)

15

d)

-15

19.

Solve

a)

5

b)

-6

c)

6

d)

21

20.

⅔x-5=7

a)

x=18

b)

x=10

c)

x=8

d)

x=11

21.

The quotient of two negative rational numbers is

a)

a positive rational number

b)

a negative rational number

c)

a positive irrational number

d)

a negative irrational number

22.

The product of two negative numbers is

a)

always postive

b)

always negative

c)

sometimes negative

d)

equal to zero

23.

The sum of two negative numbers is

a)

always positive

b)

always negative

c)

sometimes negative

d)

equal to 0

24.

Which of the following are additive inverses? Select all the apply.

a)

10 and -10

b)

7 and 0.7

c)

-⅜ and ⅜

d)

5 and 1/5

e)

-4.35 and 4.35

25.

What is a rational number ?

a)

A rational number is a number that cannot be written as a fraction.

b)

A rational number is a number that can be written as a fraction.

c)

A rational number cannot be a repeating decimal.

26.

√7

a)

Rational

b)

Irrational

27.

What type of number is π ?

a)

Rational

b)

Irrational

28.

A perfect square is which type of number?

a)

Rational

b)

Irrational

29.

a)

1/2

b)

1/10

c)

1/100

d)

1/9

30.

a)

3/10

b)

1/3

c)

1/9

d)

30/99

31.

a)

2/3

b)

-2/3

c)

3/5

d)

-3/5

32.

a)

77/25

b)

77/250

c)

308/9

d)

308/999

33.

Write 5/9 as a decimal.

a)

0.59

b)

0.95

c)

0.555...

d)

1.8

34.

Between which two whole numbers is this located?
√31

a)

2 and 3

b)

7 and 8

c)

5 and 6

d)

4 and 5

35.

Between which two whole numbers is this located?
√55

a)

2 and 3

b)

7 and 8

c)

8 and 9

d)

4 and 5

36.

Simplify.
√49

a)

±7

b)

±8

c)

±6

d)

It is a non-perfect square

37.

What do we call the number that is being multiplied by a variable?

a)

Variable

b)

Term

c)

Expression

d)

Coefficient

38.

What do we call a number sentence that has an equal sign?

a)

Expression

b)

Solved

c)

Equation

d)

Algebraic

39.

What do we call the 4 in the expression 4y+17?

a)

Coefficient

b)

Term

c)

Variable

d)

Four

40.

Which of the following is an equation?

a)

7y

b)

32 + 19

c)

42 = 6h

d)

19 > 2p

41.

6x-5+3x
Is this an expression or an equation?

a)

expression

b)

equation

c)

I'm not sure

42.

Like terms have the same _____ and the same _____.

a)

variables and numbers

b)

signs and numbers

c)

variables and exponents

d)

variables and signs

43.

a mathematical statement that says two items are NOT equal

a)

equation

b)

inequality

44.

Simplify means to... (choose all that apply)

a)

remove all parentheses

b)

combine Like Terms

c)

Reciprocal it!

d)

Solve for x

45.

Solve: 3(x-4) = -3

a)

3

b)

-3

c)

5

d)

-5

46.

Which of the following is equivalent to 9(5c + 4)?

a)

45c + 36

b)

81c

c)

45c + 4

d)

49c

47.

Use the Distributive Property to solve the equation.
4( x + 2) = 16

a)

-2

b)

0

c)

1

d)

2

48.

Simplify:

-10x + 15 - 3x + 2

a)

4x

b)

-13x² + 13

c)

-13x + 17

d)

-7x + 17

49.

4x + 10 = -26

a)

4

b)

-4

c)

-9

d)

9

50.

Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7
?

a)

7⁵

b)

7⁶

c)

6⁷

d)

7⁷

51.

5⁴=

a)

20

b)

625

c)

1024

52.

In the expression:

5⁴

^{the 4 is the...}

a)

base

b)

coefficient

c)

exponent

d)

constant

53.

In the expression:

5⁴

^{the 5 is the...}

a)

base

b)

coefficient

c)

exponent

d)

constant

54.

In order to multiply powers with the same base, we add their exponents.

a)

True

b)

False

55.

Simplify the expression:
c⁴⋅c³=

a)

^c12

b)

c⁴⁺³

c)

c⁷

56.

4⁰

a)

0

b)

1

c)

4

d)

-4

57.

How many solutions does the equation have
6x + 3 = 6x + 3

a)

One Solution

b)

No Solution

c)

Infinite Solutions

58.

How many solutions does the equation have
4p + 1 = 49 - 7

a)

One Solution

b)

No Solution

c)

Infinite Solutions

59.

How many solutions does the equation have
3t + 5 = 4t + 7

a)

One Solution

b)

No Solution

c)

Infinite Solutions

60.

How many solutions does the equation have
-2 ( -4x + 7 ) = -2 + 4x

a)

One Solution

b)

No Solution

c)

Infinite Solutions

61.

How many solutions does the equation have
4 ( 8n - 1 ) = 19 + 32n

a)

One Solution

b)

No Solution

c)

Infinite Solutions

62.

How many solutions does the equation have
4y + 10 = 10 + 4y

a)

One Solution

b)

No Solution

c)

Infinite Solutions

63.

Find the slope of the line that passes through
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

64.

Find the slope of the line that passes through
(-4, 7) and (-6, -4)

a)

2/11

b)

-2/11

c)

11/2

d)

-11/2

65.

Find the slope

a)

-3

b)

3

c)

1/3

d)

-1/3

66.

A line that is vertical has a _______ slope.

a)

Positive

b)

Zero

c)

Negative

d)

Undefined

67.

In the equation y=mx+b, what does the m represent?

a)

slope

b)

y-intercept

c)

linear

d)

point-slope

68.

Find the Slope

a)

-2/1

b)

-1/2

c)

No Slope

d)

2/1

69.

What is the slope?

a)

-4/3

b)

-3/4

c)

-2

d)

-6

70.

Slope is know as rise/

a)

run

b)

fall

c)

none

d)

rise

71.

What is the slope in the equation y=2x + 3?

a)

2

b)

3

c)

5

d)

Cannot be Determined

72.

How would you write the equation with a slope of 2/3 and a y-intercept of -3

a)

y=3/2x+3

b)

y=2/3-3

c)

y=2/3x-3

d)

y=2/3x+3

73.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

74.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(0, 1)

75.

How many solutions does this system of equations have?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

d)

Two Solutions

76.

If a system of linear equations has one solution, what does this mean about the two lines?

a)

Parallel lines

b)

the same line

c)

Intersecting lines

77.

This system has _____ solutions

a)

0

b)

1

c)

2

d)

Infinitely many

78.

The solution to a system of equations is any ordered pair that makes both equations true.

a)

TRUE

b)

FALSE

79.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

80.

Two lines cross at a point called an..

a)

Roads

b)

Intersection

c)

Solution

d)

Independent

81.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

82.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

83.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

84.

a)

Function

b)

Not a Function

85.

a)

Function

b)

Not a Function

86.

a)

Function

b)

Not a Function

87.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

88.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

89.

Which graph passes the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

90.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

91.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

92.

Is the equation linear or nonlinear?

a)

Linear

b)

Nonlinear

93.

Is the equation linear or nonlinear?

a)

Linear

b)

Nonlinear

94.

The Pythagorean Theorem is
c² = a² - b²

a)

false

b)

true

95.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

96.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

6.2

97.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

98.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

99.

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

a)

25 feet

b)

26 feet

c)

27 feet

d)

28 feet

100.

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

a)

111.8 yards

b)

115 yards

c)

127.3 yards

d)

119 yards

101.

The amount of space an object takes up

a)

Surface Area

b)

Volume

102.

The amount of space that surrounds an object

a)

Surface Area

b)

Volume

103.

a)

Parallel Lines

b)

Perpendicular Lines

104.

a)

Parallel Lines

b)

Perpendicular Lines

105.

a)

Cube

b)

Cone

c)

Cylinder

d)

Pyramid

106.

a)

Cone

b)

Cube

c)

Right Rectangular Prism

d)

Pyramid

107.

a)

Pyramid

b)

Cone

c)

Cube

d)

Sphere

108.

a)

Sphere

b)

Cube

c)

Cone

d)

Pyramid

109.

a)

Cylinder

b)

Sphere

c)

Cone

d)

Pyramid

110.

Which letter matches the coordinate (4, -6)?

a)

G

b)

Z

c)

K

d)

None of the above

111.

The vertical number line in the coordinate plane is called what?

a)

y-axis

b)

origin

c)

quadrant

d)

x-axis

112.

The coordinate plane is divided by a horizontal number line called what?

a)

y-axis

b)

origin

c)

x-axis

d)

quadrant

113.

Determine how to translate triangle ABC to triangle A'B'C'.

a)

(x-2, y+5)

b)

(x+2, y-9)

c)

(x-2, y+9)

d)

(x-9, y+2)

114.

Identify the transformation from ABC to A'B'C'.

a)

Reflection across the x-axis

b)

Reflection across the y-axis

c)

90^o clockwise rotation

d)

90^o counterclockwise rotation

115.

Transformation that ENLARGES or REDUCES a figures by a scale factor

a)

Scale Factor

b)

Rotation

c)

Dialtion

d)

Image

116.

What is the type of association?

a)

Negative

b)

no association

c)

positive

117.

What type of association does this graph have?

a)

positive

b)

negative

c)

none

d)

all of the above

118.

1. Mrs. Collins made a scatterplot to show the relationship between the number of absences and a student’s final exam score. Based on this scatterplot, a student with 6 absences should get approximately what score on the final exam?

a)

65

b)

92

c)

70

d)

76

119.

Make a prediction for a resting heart rate after 6 hours of exercise a week.

a)

6

b)

50

c)

55

d)

59

120.

Which scatter plot show a positive relationship?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

121.

Check all the correct answers.

Which of the following numbers have 2 as a factor?

a)

8

b)

10

c)

15

d)

24

122.

Check all the correct answers.

Which of the following numbers have 5 as a factor?

a)

15

b)

20

c)

25

d)

32

123.

Is 3 a factor of 21?

a)

yes

b)

no

124.

Is 5 a common factor of 75 and 80?

a)

yes

b)

no

125.

Find the missing factor.

28 = 7 x (a)

126.

Find the missing factor.

40 = 5 x (a)

127.

Find the missing factor.

72 = 8 x (a)

128.

Find the missing factor.

81 = 9 x (a)

129.

Find the missing factor.

63 = 9 x (a)

130.

Find the missing factor.

56 = 7 x (a)

131.

Which number is a factor of 10

a)

3

b)

4

c)

5

d)

8

132.

Which number is a factor of 18

a)

4

b)

7

c)

6

d)

12

133.

Which number is a factor of 42?

a)

7

b)

5

c)

4

d)

8

134.

Which number is a factor of 23?

a)

8

b)

4

c)

3

d)

1

135.

Which lists all the factors of 15?

a)

1, 7, 8, 15

b)

1, 15

c)

1, 3, 5, 15

d)

3, 5, 15

136.

All even numbers have which number as a factor?

a)

3

b)

4

c)

2

d)

5

137.

Is 5 a factor of 32?

a)

yes

b)

no

138.

Which number is a factor of 10

a)

3

b)

4

c)

5

d)

8

139.

Which number is a factor of 18

a)

4

b)

7

c)

6

d)

12

140.

Which number is a factor of 24

a)

9

b)

7

c)

11

d)

12

141.

Which number is a factor of 7?

a)

3

b)

4

c)

6

d)

7

142.

What shape is it?

a)

It is a rectangle.

b)

It is a square.

c)

It is a triangle.

d)

It is a trapezoid.

143.

What shape is it?

a)

It is a square.

b)

It is a circle.

c)

It is a triangle.

d)

It is a triangle.

144.

What shape are they?

a)

square

b)

rectangle

c)

triangle

d)

trapezoid

145.

What shape is it?

a)

square

b)

rectangle

c)

triangle

d)

trapezoid

146.

What shape is it?

a)

trapezoid

b)

circle

c)

triangle

d)

square

147.

How many vertices does this shape have?

a)

1

b)

2

c)

3

d)

4

148.

What is the name of this polygon?

a)

a pentagon

b)

a quadrilateral

c)

an octagon

d)

a triangle

149.

What is the name of this shape?

a)

circle

b)

hexagon

c)

square

d)

triangle

150.

What solid shape is this?

a)

rectangular prism

b)

cube

c)

rectangle

d)

parallelogram

151.

What is the name of this shape?

a)

cyclinder

b)

sphere

c)

cone

d)

circle prism

152.

What is the name of this shape?

a)

triangular prism

b)

rectangular prism

c)

cube

d)

sphere

153.

a)

rectangular prism

b)

cone

c)

sphere

154.

What shape is this?

a)

Sphere

b)

Cube

c)

Triangle

d)

Circle

155.

identify this prism

a)

cube

b)

hexagonal prism

c)

pentagonal pyramid

d)

pentagonal prism

156.

What are the 3 dimensions of 3D solids?

a)

side, angle, line segment

b)

height, side, angle

c)

length, width, height

d)

none of these

157.

What is the meaning of the "D" in 3D?

a)

Dimension

b)

Deep

c)

Door

d)

Depth

158.

Identify the 3D solid.

a)

cube

b)

square prism

c)

square based pyramid

d)

triangular pyramid

159.

What is the name of this 3D solid?

a)

Square Pyramid

b)

Hexagonal Pyramid

c)

Triangular Based Pyramid

d)

Triathlon based Pyramid

160.

Which 3D Figures make up the following composite solid.

a)

Cone

b)

Cylinder

c)

Pyramid

d)

Rectangular Prism

161.

Which 3D Figures make up the following composite solid.

Select all that apply.

a)

Cone

b)

Cylinder

c)

Pyramid

d)

Rectangular Prism

162.

Which 3D Figures make up the following composite solid.

Select all that apply.

a)

Rectangular Prism

b)

Cylinder

c)

Pyramid

d)

Sphere

163.

24 x (4-2) ÷ 6

a)

8

b)

2

c)

6

d)

5

164.

7 x (7-4) ÷ 3

a)

8

b)

6

c)

7

d)

5

165.

40 + (72÷9) ÷ 8

a)

6

b)

25

c)

41

d)

15

166.

23 + (30÷10) x 4

a)

35

b)

104

c)

12

d)

45

167.

16 ÷ 2 x 4 - 3

a)

5

b)

-1

c)

25

d)

29

168.

90 - 5² x 3

a)

15

b)

240

c)

195

169.

What would you solve first?
3 x 48 / (15 - 3)

a)

3 x 48

b)

48 / 15

c)

15 - 3

d)

48-12

170.

15 + 7 × 2 – 11 + 35=

a)

38

b)

251

c)

53

d)

50

171.

What step would I do second ? (4-2) x 9 + 7 =

a)

multiplication

b)

subtraction

c)

addition

d)

dividing

172.

What would be my first step? 3 + 4 x 6 - 4 =

a)

addition

b)

multiplication

c)

subtraction

d)

exponents

173.

What would be the second step in this problem? (3 + 4) 9 + 3 =

a)

parenthesis

b)

multiplication

c)

addition

d)

exponent

174.

20 ÷ 2 + (3 x 1)

a)

13

b)

4

c)

43

d)

21

175.

Solve:
12 / (4 - 2)

a)

1

b)

2

c)

4

d)

6

176.

2 + (9²- 4)

a)

16

b)

77

c)

79

177.

2 ÷ 1 + 2 + 9 ÷ 9

a)

13/9

b)

5

c)

1 1/3

d)

13

178.

Simplify the following:
-8 + (15 - 3) ÷ 4

a)

-5

b)

1

c)

-11

d)

11

179.

[ (10-6) + (18-6)²]

a)

48

b)

124

c)

148

d)

186

180.

[ (18+5) + (14-2)²]

a)

176

b)

167

c)

67

d)

76

181.

[ (6+4)² x 3] - 3²

a)

309

b)

391

c)

2700

d)

291

182.

16 + [ 3 x (9-6)²]

a)

43

b)

52

c)

33

d)

93

183.

14 + [ (16-7) + 4²]

a)

33

b)

36

c)

39

d)

31

Pre-Algebra Review

Total questions: 183

Worksheet time: 7hrs 38mins

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