Free Printable Grade 5-10 Algebra Review

1.

Solve the equation

x + 3 = 5

a)

2

b)

-2

c)

8

d)

-8

2.

Solve the equation

m - 4 = 10

a)

-6

b)

6

c)

-14

d)

14

3.

Solve the equation

3r=12

a)

36

b)

9

c)

15

d)

4

4.

Solve the equation

$\frac{z}{2}=6$

a)

3

b)

4

c)

8

d)

12

5.

Solve the equation

f + 5 = -6

a)

-11

b)

1

c)

-1

d)

-30

6.

Solve the equation

j - 3 = 4

a)

1

b)

-1

c)

7

d)

-7

7.

Solve the equation

-5 x = - 10

a)

2

b)

50

c)

15

d)

-50

8.

Solve the equation

$\frac{x}{10}=1$

a)

9

b)

$\frac{1}{10}$

c)

10

d)

11

9.

Solve the equation

k + $\frac{1}{2}$ = $\frac{1}{2}$

a)

1

b)

0

c)

$\frac{1}{2}$

d)

$\frac{1}{4}$

10.

Solve the equation

a)

14

b)

-14

c)

-5

d)

5

11.

X + 1 = 9

What does x =

(a)

12.

h - 12 = 0

what does h=

(a)

13.

What is the inverse operation that should be performed to solve this equation?

2y = 12

a)

addition

b)

subtraction

c)

multiplication

d)

division

14.

When solving an equation

What ever you do to one side you must _____________.

a)

do by following the rules

b)

do to the other side

c)

do it quickly

15.

Solve the equation

x - (-2) = 8

a)

6

b)

-6

c)

10

d)

-10

16.

An equation always has a

a)

=

b)

+

c)

-

d)

*

17.

What is the value of x in this equation?

a)

5

b)

15

c)

50

d)

-5

18.

Solve the equation

$\frac{w}{2}=20$

a)

10

b)

18

c)

40

19.

Solve the equation

n + 4 = 12

a)

16

b)

3

c)

8

d)

7

20.

Solve the equation

x - 7 = 2

a)

5

b)

9

c)

7

d)

14

21.

Solve the equation

12 = x + 7

a)

5

b)

19

c)

84

d)

6

22.

Solve the equation

s - 17 = 87

a)

70

b)

94

c)

60

d)

104

23.

Solve the equation

48 = x - 37

a)

85

b)

11

c)

16

d)

75

24.

Solve the equation

n - 18 = 3

a)

15

b)

21

c)

54

d)

22

25.

Solve the equation

w - 3.4 = 5.5

a)

2.1

b)

8.1

c)

8.9

d)

2,9

26.

Solve the equation

41 = 3 + x

a)

44

b)

42

c)

38

d)

71

27.

Solve the equation

71 = s + 38

a)

109

b)

47

c)

34

d)

33

28.

Solve the equation

m - 432 = 274

a)

158

b)

604

c)

706

d)

86

29.

Solve the equation

v - 35 = 44

a)

9

b)

11

c)

79

d)

21

30.

Solve the equation

7x = 42

a)

294

b)

6

c)

7

d)

284

31.

Solve the equation

9n = 45

a)

6

b)

5

c)

-5

d)

7

32.

Solve the equation

x/3 = 9

a)

3

b)

36

c)

4

d)

27

33.

Solve the equation

n/12 = 4

a)

3

b)

10

c)

48

d)

36

34.

Solve the equation

1/5 n = 40

a)

200

b)

8

c)

10

d)

120

35.

Match the following

a)

Coefficient

1.

a number in front of a variable

b)

Variable

2.

a letter or symbol used to represent an unknown

c)

Constant

3.

a number by itself

d)

Operation

4.

add, subtract, multiply, and divide

e)

Equation

5.

two equivalent expressions

36.

Match the following

a)

x=2

1.

3x=6

b)

x=5

2.

x+5=10

c)

x=12

3.

x/3=4

d)

x=4

4.

x-1=3

e)

x=9

5.

2x=18

37.

All equations have . . .

a)

an addition sign

b)

three variables

c)

a cute puppy

d)

an equal sign

38.

What is the inverse of multiplication?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

39.

12g - 5 = 19

Which is the correct 1st step?

a)

Add 12 to both sides

b)

Add 5 to both sides

c)

Add 19 to both sides

40.

$12g-5=19$

\ \ \ \ \ \ \ +5\ \ \ \ +5\ \ \ \ \ \ \ \

12g\ \ \ \ \ \ \ =\ 24

What is the next step?

a)

Multiply both sides by 12

b)

Divide both sides by 12

c)

Multiply both sides by 24

d)

Divide both sides by 24

41.

2t -7 = 3

Find the value of t

a)

-2

b)

2

c)

5

d)

20

42.

$\frac{2}{5}\ h\ +\ 6\ =\ 8$

What is the first step that should be done to both sides?

a)

+6

b)

-6

c)

+8

d)

-8

43.

10 = 2d - 5

What is the value of d?

a)

2.5

b)

7.5

c)

15

d)

20

44.

To undo an operation, you must do its opposite or inverse to both sides of the equation. Match each operation to its inverse.

a)

Addition

1.

Subtraction

b)

Subtraction

2.

Addition

c)

Multiplication

3.

Division

d)

Division

4.

Multiplication

45.

Solve the equation

$5=\frac{t}{2}-3$

(a)

46.

Solve. Check your answer.

$5x+12=-13$

(a)

47.

Solve the equation

$3x+2\ =\ -25$

a)

$x\ =\ -8$

b)

$x\ =\ -9$

c)

$x\ =\ 9$

d)

$x\ =\ 24$

48.

Solve the equation

-8x + 9 = 33

a)

3

b)

50

c)

16

d)

-3

49.

What is the FIRST step in solving this equation?

a)

subtract 3 from each side

b)

add three to each side

c)

subtract 2 from each side

d)

add 2 to each side

50.

Solve the equation

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

51.

Solve for a

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

52.

Which two operations are in this equation?

$5x+4=-16$

a)

addition

b)

subtraction

c)

multiplication

d)

division

53.

What is the first step to solve this equation?

11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

54.

What is the first step in solving the following equation?
3x - 5 = 20

a)

multiply both sides by 5

b)

add 5 to both sides

c)

divide both sides by 5

d)

subtract both sides by 5

55.

Solve the equation

-9x + 1 = -80

a)

-9

b)

9

c)

6

56.

What is the first step in this equation?

3x + 5 = 20

a)

Add 5 and 20

b)

Subtract 5 from both sides of the equation

c)

Add 3 and 5

d)

Multiply 3 by 5

57.

After you subtract 5 from both sides of the equation (3x + 5 = 20) what will the equation look like?

a)

3x = 25

b)

3x = 20

c)

3x = 3

d)

3x = 15

58.

What is the next step in the equation?

3x = 15

a)

Divide both sides by 3

b)

Add 3 and 15

c)

Subtract 3 and 15

d)

Multiply 3 and 15

59.

solve: 4x + 6 = 18

(a)

60.

solve: 5x + 3 = 23

(a)

61.

solve: 6x - 5 = 13

(a)

62.

solve: 7x - 4 = 24

(a)

63.

solve: 9k - 8 = 10

(a)

64.

solve: 2s - 4 = 6

(a)

65.

solve: 2d + 7 = 9

(a)

66.

solve: 3c + 5 = 23

(a)

67.

solve: 2x - 3 = 1

4 lines

68.

Solve the inequality:

-13t > 26

a)

t > -2

b)

t > 2

c)

t < 2

d)

t < -2

69.

Solve the inequality:

8(m + 2)< 4(5 + 2m)

a)

no solution

b)

m < -2

c)

all real numbers

d)

m > 4

70.

A student needs to collect at least $30.00 for a sports fundraiser. The student has already collected $7.00. The inequality shown can be used to find d, the number of dollars the student still needs.
d + 7 ≥ 30
Which inequality represents the solution set for this situation?

a)

d ≤ 37

b)

d ≥ 37

c)

d ≤ 23

d)

d ≥ 23

71.

Which number line shows the solution set to the inequality below?
x - 3 > -3

a)

A

b)

B

c)

C

d)

D

72.

Which number line shows the solution set to the inequality below?

2x ≤ -6

a)

A

b)

B

c)

C

d)

D

73.

Which inequality is true when x = 3?

a)

-25x > 75

b)

-25x ≥ 75

c)

25x < 75

d)

25x ≤ 75

74.

Solve the inequality:

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

75.

Solve the inequality:

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

76.

Solve the inequality:

10 < 3x + 19

a)

x < 3

b)

x > 3

c)

x < -3

d)

x > -3

77.

Solve the inequality:

5z - 2 - 2z < 13

a)

z > 5

b)

z < 5

c)

z > 1

d)

z < 1

78.

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

79.

What inequality does the number line graph represent?

a)

-x + 4 ≥ -1

b)

-2x + 3 > -7

c)

-x + 1 < -4

d)

2x + 3 ≥ 13

80.

What inequality does the number line graph represent?

a)

x ≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ 3

81.

Write a mathematical inequality for the following:

The speed limit on a certain road is 60 km/hr.

a)

x ≤ 60

b)

x ≥ 60

c)

x < 60

d)

x < 60

82.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

83.

Solve the inequality.

a)

x ≥ 5

b)

x ≥ 20

c)

x ≤ 5

d)

x ≤ 20

84.

Solve the inequality.

a)

h > 10

b)

h > -10

c)

h < 10

d)

h < -10

85.

Pick the inequality that represents the following:
You must be at least 48 inches tall to ride the bumper cars.

a)

h < 48

b)

h > 48

c)

h ≤ 48

d)

h ≥ 48

86.

Will my dot be colored in?
5 ≥ x

a)

Yes

b)

No

87.

Does the sign need to flip when solving?
-2x ≥ 22

a)

YES

b)

NO

88.

Put the equation in slope-intercept form:
2x + 2y = 6

a)

y = - x + 3

b)

y = x + 3

c)

y = 2x +6

d)

y = - 2x + 6

89.

Write the equation in slope intercept form

x + y = -1

a)

y = x - 1

b)

y = 27, 239, 430

c)

y = -1x

d)

y = -x - 1

90.

Write the equation in slope intercept form.

5x + y = -5

a)

y = -5x - 5

b)

y = ⅕x - 5

c)

x = ⅕

d)

y = 27, 239, 430

91.

Change the following to slope-intercept form:
5x - 5y = 25

a)

y = x - 5

b)

y = 5x - 1

c)

y = -x + 5

d)

y = 5x + 1

92.

Give the equation for the graph

a)

y = 5x - 3

b)

y = 4x + 2

c)

y =-2x + 5

d)

y = - 2x + 4

93.

What is the equation of the line?

a)

y = -3/4x + 3

b)

y = 4/5x + 3

c)

y = -4/5x + 3

d)

y = -4/5x

94.

Find the equation of the line.

a)

y = -1/3x - 2

b)

y = 1/3x - 2

c)

y = 3x - 2

d)

y = -3x - 2

95.

Which is the graph of y=-x+2?

a)

A

b)

B

c)

C

d)

D

96.

Based on the table, write the equation in slope intercept form.

a)

y= 5x+5

b)

y=1/5x+5

c)

y=15x+5

d)

y=10x+5

97.

Given the table, write the equation in the slope-intercept form.

a)

y = 1/3x + 6

b)

y = 3x + 6

c)

y = 2x + 6

d)

y = 1/2x + 6

98.

What is the y-intercept?

a)

7

b)

0

c)

1

d)

2

99.

What is the x-intercept?

a)

12

b)

-3

c)

8

d)

0

100.

What are the x- and y -intercepts on this graph?

a)

(0,5), (0,5)

b)

(5,0), (5,0)

c)

(5,0), (0,5)

d)

(0,0), (5,0)

101.

Which ordered pair could represent a y-intercept on a graph?

a)

(6, 0)

b)

(0, 4)

c)

(-1, 3)

d)

(2, 0)

102.

Which of these represents slope-intercept form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

103.

Write the equation for the line in slope-intercept form.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

104.

Which of these lines has a slope of -3?

a)

A

b)

B

c)

C

d)

D

105.

Select the correct graph for the inequality.

a)

A

b)

B

c)

C

d)

_D

106.

Select the correct graph for the inequality.

a)

A

b)

B

c)

C

d)

D

107.

Select the correct graph for the inequality.

a)

A

b)

B

c)

C

d)

D

108.

Which of the following equations match the given graph?

a)

y ≤ -3/4 x + 3

b)

y ≥ -3/4 x + 3

c)

y < -3/4 x + 3

d)

y > -3/4 x + 3

109.

How can I tell if an inequality will have a solid line?

a)

It has an equal sign.

b)

The symbol is greater than.

c)

The symbol has "or equal to."

d)

You just guess.

110.

Consider the function y<2x+3. Which is true?

a)

The line would be solid with shading above.

b)

The line would be dashed with shading above.

c)

The line would be solid with shading below.

d)

None of these.

111.

Which graph best represents the following inequality?

a)

b)

c)

d)

112.

Determine whether point A is a solution to the linear inequality that is shown.

a)

Yes

b)

No

c)

Sometimes

113.

Is the point (3, 1) a solution for the following inequality? Choose the best answer that has the best explanation.

a)

Yes because it is located in the shaded region.

b)

No because it is located on the line and the line is dotted.

c)

Yes because it is located on the line.

d)

No because it is in the shaded region.

114.

Which of the graphs represents the linear inequality $y>\frac{1}{2}x+3$ ?

a)

b)

c)

d)

115.

Which of the graphs represents the linear inequality $y\le-x-4$ ?

a)

b)

c)

d)

116.

Which of the following linear inequalities represents the graph?

a)

$y\ge3x-5$

b)

$y\ge\frac{1}{3}x-5$

c)

$y\le-\frac{1}{3}x-5$

d)

$y>\frac{1}{3}x+5$

117.

Which of the following linear inequalities represents the graph?

a)

$y\ge3$

b)

$x\ge3$

c)

$y\le3$

d)

$y<3$

118.

Which of the following linear inequalities represents the graph?

a)

$x\ge2$

b)

$x\ge-2$

c)

$y\ge-2$

d)

$y>-2$

119.

Which of the following linear inequalities represents the graph?

a)

$y\ge3x$

b)

$y>3x$

c)

$y<3x$

d)

$y>\frac{1}{3}x$

120.

Which of the following linear inequalities represents the graph?

a)

$y\ge\frac{1}{4}x$

b)

$y\le4x-2$

c)

$y<\frac{1}{4}x+2$

d)

$y\le\frac{1}{4}x+2$

121.

Which of the following linear inequalities represents the graph?

a)

$y>-\frac{4}{5}x-1$

b)

$y\le\frac{4}{5}x+1$

c)

$y<-\frac{4}{5}x-1$

d)

$y\le-\frac{4}{5}x+1$

122.

When graphing a linear inequality, < and > signs would require you to draw...

a)

a solid line

b)

a dotted line

123.

When graphing a linear inequality, $\le$ and $\ge$ signs would require you to draw...

a)

a solid line

b)

a dotted line

124.

Factor:
7x + 48y

a)

7(x + 7y)

b)

7(x + y)

c)

can't be factored

d)

7(x + 48y)

125.

Factor:
12x + 9

a)

3(4x + 3)

b)

x(12+9)

c)

3(4x - 3)

d)

not factorable

126.

Factor

8m − 24

a)

can't be factored

b)

m(8 − 24)

c)

4m(2 − 6)

d)

4(2m − 6)

127.

Factor

54x + 15y − 9

a)

can't be factored

b)

6(9x + 15y + 3)

c)

9(6x + 15y)

d)

3(18x + 5y − 3)

128.

Factor

x²+ 3x

a)

1(x + 3x)

b)

x(x + 3)

c)

3(x + x)

d)

can't be factored

129.

Factor

11t − 23

a)

11(t − 23)

b)

t − 23

c)

can't be factored

d)

11(t − 2)

130.

Factor

33x − 55y + 77z

a)

3(11x −5y + 7z)

b)

11(3x + 5y − 7z)

c)

11(3x − 5y + 7z)

d)

can't be factored

131.

Factor 12x - 20

a)

6(2x - 3)

b)

4(3x - 5)

c)

4x(3x - 5)

d)

3(4x + 6)

132.

What is the Greatest Common Factor of the following polynomial?
12t³ + 30t² + 48t

a)

12t

b)

6t³

c)

6t

d)

12t³

133.

Find the greatest common factor of
6x⁴y³- 12x⁴y²+ 6x³y²

a)

6

b)

6xy

c)

6x³y²

d)

6x⁹y⁶

134.

What is the GCF of 18k and 15k³

a)

3k²

b)

3k³

c)

3k

d)

5k

135.

What is the GCF of 10a²b³ and 20a²b²?

a)

20a²b³

b)

10a²b³

c)

20ab²

d)

10a²b²

136.

Determine the greatest common factor of
-5j³k⁷m² and -20jk²m⁵

a)

-5jk²m²

b)

-20j³k⁷m⁵

c)

-5j³k⁷m⁵

d)

-20jk²m²

137.

Find the GCF between the following:
120w³, 40w²x⁵, and 8w⁷x²y

a)

120w⁷x⁵y

b)

120w²x²y

c)

8w²x²y

d)

8w²

138.

True or False: A factor divides a number without leaving a remainder.

a)

True

b)

False

139.

True or false: Factors are numbers which, when multiplied together, create a product.

a)

True

b)

False

140.

Write an expression equivalent to 5(d+1)

(a)

141.

Write an equivalent expression to 3(n+6)

(a)

142.

Write an expression equivalent to 4(2p+4q)

(a)

143.

Complete the equation using The Distributive Property.

3(2x + 4) = (a)

2(3x + 2) = (b)

2(x + 1) = (c)

Choose from the below words

6x + 12

6x + 4

2x + 2

144.

Match the following expressions.

a)

4(2x + 6)

1.

8x + 24

b)

8x + 6

2.

2(4x + 3)

c)

2(3x + 10)

3.

6x + 20

d)

6x + 10

4.

2(3x + 5)

e)

5(x + 2)

5.

5x + 10

145.

True of False?

3(2f + g + 4) is equivalent to 6f + 3g +12

a)

True

b)

False

146.

Which expression is equal to 16a + 24b?

a)

4(4a + 20b)

b)

8(2a + 3b)

c)

4a(4 + 6b)

d)

8ab(2 + 3)

147.

Apply the distributive property to factor out the greatest common factor (GCF).

30x + 40y

(a)

148.

Simplify the expression.

5x + 3 - 2x + 1

(a)

149.

Simplify the following expression by combining like terms:

3v + 7v +9v

(a)

150.

Which of the following expressions is equivalent to the expression

d + d + d + d

a)

4 + d

b)

4d

c)

$d^2\ +\ d^2$

d)

$d^4$

151.

True of false?

x + 2y + 3z is equivalent to z + y + z + x + y + z

a)

True

b)

False

152.

Which expression is equivalent to

5y + 2y + 6x + 2y - x

a)

5x + 6y

b)

5x + 7y

c)

5x + 9y

d)

7x + 7y

153.

Simplify this expression by combining like terms:

4x + 2y - 3x + x + 5y

(a)

154.

Combine like terms:

$2x^2\ +\ 3x\ +5x^2\ -2x\ +\ x^2\ +\ x$

a)

$8x^2\ +\ 6x$

b)

$10x^2$

c)

$8x^2\ +\ 2x$

d)

$7x^2\ +\ 2x$

155.

Combine like terms:

$2x\ +3x\ +\ 4\left(x-2\right)$

(a)

156.

What is the CONSTANT in this expression?

2n + 4g + 3 + y

(a)

157.

Use the distributive property to simplify:

6(y + 4)

a)

6y + 24

b)

6y + 4

c)

y + 24

d)

6 + y + 4

158.

Use the distributive property to simplify:

5(2x - 3)

a)

10x - 15

b)

10x + 3

c)

2x - 15

d)

10x + 15

159.

Use the distributive property to simplify:

2x(3 + 6y)

a)

6x + 12xy

b)

6 + 12y

c)

6x + 12

d)

6x + 6y

160.

Use the distributive property to simplify:

3y(2x + 4y)

a)

6xy + 12y²

b)

6y + 12y

c)

6xy + 4y

d)

6xy + 12yy

161.

What is/are the coefficient(s) of
2x + 9 + 7x?

a)

2, 9, 7

b)

2, 7

c)

2x, 7x

d)

9

162.

Which of these are like terms in the following expression:
3x + 7 - 9x + 24y + 2x²

a)

7, 24y

b)

3x, 9x

c)

3x, -9x

d)

3x, -9x, 2x²

163.

Which expression is equivalent to
v + v + v + v + v?

a)

5v

b)

v⁵

c)

v + 5

d)

v5

164.

Which expression is equivalent to:
d + d + d + 3 + 2

a)

3d + 5

b)

d + 5

c)

2d + 7

d)

3d + 4

165.

Simplify the algebraic expression by combining like terms:

$3x\ +\ 5y\ -\ 3x\ +\ 2y$

a)

$x\ +\ 7y$

b)

$-x\ +10y$

c)

$7y$

d)

$6x\ +7y$

166.

Simplify by combining like terms:

3x-5x

a)

2x

b)

8x

c)

-2x

d)

15x²

167.

Rewrite the expression by combining like terms.
4x² – 2x² + 2y + 6y² – y + x²

a)

3x² + 3xy + 6y

b)

6y² + 2xy + 2x

c)

7x² + 35x

d)

3x² + 6y² + y

168.

Simplify the algebraic expression by combining like terms:

$4x^2\ +\ 4y\ +3x\ +2y^2$

a)

$4x^2\ +4y\ +3x\ +2y^2$

b)

$6xy^2\ +7xy$

c)

$7x^2\ +6y^2$

d)

$8x^2y\ +\ 5xy^2$

169.

Simplify by combining like terms:

-6k + 7k

a)

k

b)

-k

c)

12k

d)

-12k

170.

Simplify the algebraic expression by using the distributive property and combining like terms:

$5\left(v\ +2\right)\ +\ 5\left(v\ -5\right)$

a)

$10v\ +35$

b)

$10v\ -15$

c)

$2v\ +35$

d)

$2v\ -15$

171.

Simplify by combining like terms:

-r -10r

a)

11r

b)

-11r

c)

9r

d)

-11

172.

Simplify the algebraic expression by using the distributive property and combining like terms:

$2\left(2x\ +5y\right)\ +3\left(x\ +3y\right)$

a)

$7x\ +8y$

b)

$4x\ +8y\ +3x$

c)

$4x\ +5y\ +3x\ +3y$

d)

$7x\ +19y$

173.

Simplify the algebraic expression using the distributive property first, then combine like terms.

$\frac{4x\ +8}{4}$

a)

3x

b)

x + 2

c)

x + 8

d)

4x + 2

174.

Simplify the algebraic expression using the distributive property first, then combine like terms.

$\frac{4x\ +6y}{2}\ -3y$

a)

$5xy\ -3y$

b)

$2x$

c)

$2x\ +6y$

d)

$2x\ +\frac{3}{2}y$

175.

Simplify the algebraic expression using the distributive property first, then combine like terms.

$3\left(x\ +2y\right)\ +\frac{3x\ -9y}{3}$

a)

$2x\ +9y$

b)

$2x\ +3y$

c)

$4x\ +9y$

d)

$4x\ +3y$

176.

Simplify:

$\frac{6\ +\ 3\left(x\ +\ 1\right)}{3}$

a)

x + 3

b)

2 + 3x + $\frac{1}{3}$

c)

3x + 3

d)

3x + $\frac{1}{3}$

Grade 5-10 Algebra Review

Total questions: 176

Worksheet time: 6hrs 44mins

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