Free Printable Equation and Inequality Review

1.

When graphing b< 6 would you use an open or closed circle?

a)

Open

b)

closed

2.

Will my circle be colored in?
5 ≥ x

a)

Yes

b)

No

3.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

4.

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

5.

x>5

a)

x is greater than 5

b)

x is less than 5

c)

x is zero

6.

Solve the inequality for h:
h + 9 < 14

a)

h < 5

b)

h < 23

c)

h > 5

d)

h > 23

7.

The sign below means...
≥

a)

Greater Than

b)

Less Than

c)

Greater Than or Equal to

d)

Less Than or Equal to

8.

<

a)

equal

b)

less than

c)

less than or equal to

d)

at least

9.

≤

a)

equal

b)

less than

c)

less than or equal to

d)

at least

10.

≥

a)

equal

b)

greater than

c)

greater than or equal to

d)

at most

11.

Solve the inequality:
x + 7 < 9

a)

x < 2

b)

x < 16

c)

x < 63

12.

How many answers are there in an inequality?

a)

0

b)

1

c)

2

d)

multiple

13.

Solve
x - 7 ≥ 4

a)

x ≥ 11

b)

x ≥ -11

c)

x ≥ 3

d)

x ≥ -3

14.

at least 45

a)

< 45

b)

> 45

c)

≤ 45

d)

≥ 45

15.

more than 16

a)

< 16

b)

> 16

c)

≤ 16

d)

≥ 16

16.

less than -3

a)

< -3

b)

> -3

c)

≤ -3

d)

≥ -3

17.

a minimum of $30

a)

< 30

b)

> 30

c)

≤ 30

d)

≥ 30

18.

John needs at least an 80 on his next test in Math class to pass this marking period. Which inequality shows what John needs on his test to pass this marking period?

a)

J > 80

b)

J < 80

c)

J ≥ 80

d)

J ≤ 80

19.

The minimum height a person must be to ride the Superman Roller-coaster is 54 inches. Which inequality can be used to show this?

a)

S > 54 inches

b)

S ≥ 54 inches

c)

S < 54 inches

d)

S ≤ 54 inches

20.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

21.

c - 7 > 8

a)

c < 15

b)

c > 15

c)

c < - 15

d)

c >, = 15

22.

Solve
y - 4 > 12

a)

y > 16

b)

y < 16

c)

y > 8

d)

y < 8

23.

Solve
-19 ≤ 8 + k

a)

-27 ≤ k

b)

-11 ≤ k

c)

-27 ≥ k

d)

-11 ≥ k

24.

s + 9 ≥ -25

a)

s ≥ -18

b)

s ≥ -34

c)

s ≤ 18

d)

s ≥ 34

25.

>

a)

equal

b)

greater than

c)

greater than or equal to

d)

at most

26.

m - 5 > 10

a)

m is less than 15

b)

m is greater than 5

c)

m is greater than 15

d)

m is less than 5

27.

If you were to graph x > 2, what would you do?

a)

put a closed dot on 2 and to the right

b)

put a closed dot on 2 and to the left

c)

put an open dot on 2 and to the right

d)

put an open dot on 2 and to the left

28.

What do you do to solve the graph of the inequality:
-2x ≤ 10

a)

divide by -2

b)

multiply by -2

c)

multiply by -2 and flip the inequality

d)

divide by -2 and flip the inequality

29.

Which is the solution of
-6a ≥ -36

a)

a ≥ 6

b)

-6 ≥ a

c)

a ≤ 6

d)

6 ≤ a

30.

Which of the following inequalities would require you to flip the sign when solving?

a)

2x < 3

b)

3x > - 9

c)

-4x ≥ 10

d)

5x ≤ 15

31.

Which is the solution of
-6a ≥ -36

a)

a ≥ 6

b)

-6 ≥ a

c)

a ≤ 6

d)

6 ≤ a

32.

Fewer Than

a)

<

b)

>

c)

≤

d)

≥

33.

No More Than

a)

<

b)

>

c)

≤

d)

≥

34.

At Least

a)

<

b)

>

c)

≤

d)

≥

35.

More Than

a)

<

b)

>

c)

≤

d)

≥

36.

No Fewer Than

a)

<

b)

>

c)

≤

d)

≥

37.

Below

a)

<

b)

>

c)

≤

d)

≥

38.

Not Above

a)

<

b)

>

c)

≤

d)

≥

39.

Not Below

a)

<

b)

>

c)

≤

d)

≥

40.

Less Than

a)

<

b)

>

c)

≤

d)

≥

41.

Not Exceeding

a)

<

b)

>

c)

≤

d)

≥

42.

At Most

a)

<

b)

>

c)

≤

d)

≥

43.

Above

a)

<

b)

>

c)

≤

d)

≥

44.

Greater

a)

<

b)

>

c)

≤

d)

≥

45.

Not Below

a)

<

b)

>

c)

≤

d)

≥

46.

Exceeding

a)

<

b)

>

c)

≤

d)

≥

47.

Which of the following is a solution to the inequality?
m > 9

a)

m = 9

b)

m = 10

c)

m = -9

d)

m = 5

48.

x is less than 9

a)

x < 9

b)

x > 9

c)

x ≥ 9

d)

x ≤ 9

49.

What symbol could go in the box to make a true statement?
9 ___ -9

a)

>

b)

<

c)

≥

d)

≤

50.

What symbol could go in the box to make a true statement?
71 ___ 2

a)

>

b)

<

c)

≥

d)

≤

51.

x fewer than 6

a)

x < 6

b)

x > 6

c)

x ≥ 6

d)

x ≤ 6

52.

Which of the following is a solution to the inequality?
m < 15

a)

m = 9

b)

m = 25

c)

m = 91

d)

m = 15.5

53.

Is the statement true of false.
15 < -12

a)

True

b)

False

54.

What symbol could go in the box to make a true statement?
-25 + 5 ____ 20

a)

>

b)

<

c)

≥

d)

≤

55.

at the most

a)

≥

b)

≤

c)

>

d)

<

56.

at least 45

a)

< 45

b)

> 45

c)

≤ 45

d)

≥ 45

57.

no more than 8

a)

≤ 8

b)

≥ 8

c)

< 8

d)

> 8

58.

a maximum of 4

a)

< 4

b)

> 4

c)

≤ 4

d)

≥ 4

59.

Which represents "more than"?
Ex: It is more than 50 degrees today.

a)

t < 50

b)

t > 50

c)

t ≤ 50

d)

t ≥ 50

60.

Which represents "fewer than"?
Ex: It is fewer than 50 degrees today.

a)

t < 50

b)

t > 50

c)

t ≤ 50

d)

t ≥ 50

61.

Which represents "at most"?
Ex: It is at most 50 degrees today.

a)

t < 50

b)

t > 50

c)

t ≤ 50

d)

t ≥ 50

62.

Which represents "at least"?
Ex: It is at least 50 degrees today.

a)

t < 50

b)

t > 50

c)

t ≤ 50

d)

t ≥ 50

63.

Which represents "above"?
Ex: It is above 50 degrees today.

a)

t < 50

b)

t > 50

c)

t ≤ 50

d)

t ≥ 50

64.

Which represents "no less than"?
Ex: It is no less than 50 degrees today.

a)

t < 50

b)

t > 50

c)

t ≤ 50

d)

t ≥ 50

65.

Which represents "below"?
Ex: It is below 50 degrees today.

a)

t < 50

b)

t > 50

c)

t ≤ 50

d)

t ≥ 50

66.

Which represents "no more than"?
Ex: It is no more than 50 degrees today.

a)

t < 50

b)

t > 50

c)

t ≤ 50

d)

t ≥ 50

67.

Which represents "up to"?
Ex: It's going to get up to 50 degrees today

a)

t < 50

b)

t > 50

c)

t ≤ 50

d)

t ≥ 50

68.

Which represents "is not"?
Ex: It is not 50 degrees today

a)

t < 50

b)

t ≠ 50

c)

t ≤ 50

d)

t ≥ 50

69.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

70.

When you graph an inequality, you used a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

71.

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

a)

<, >

b)

≤, ≥

72.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

73.

a)

x ≤ -2

b)

x < -2

c)

-2 < x

d)

x ≥ - 2

74.

Write an inequality for this situation:
You are driving, and the maximum speed limit is 55.

a)

s < 55

b)

s > 55

c)

s ≤ 55

d)

s ≥ 55

75.

a)

x > 1

b)

1 ≥ x

c)

x is greater than or equal to 1

d)

x is less than or equal to 1

76.

What inequality does the number line graph represent?

a)

x≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ 3

77.

Which graph matches the inequality

k < 3?

a)

A

b)

B

c)

C

d)

D

78.

you must be at least 48 inches to ride the roller coaster.

a)

x > 48

b)

x < 48

c)

x ≤ 48

d)

x ≥ 48

79.

You can spend no more than 20 dollars on your mom's birthday present.

a)

x > 20

b)

x < 20

c)

x ≤ 20

d)

x ≥ 20

80.

You and your friends ate more than 8 slices of pizza at the party.

a)

x > 8

b)

x < 8

c)

x ≤ 8

d)

x ≥ 8

81.

Edith must read for a minimum of 20 minutes every night.

a)

x > 20

b)

x < 20

c)

x ≥ 20

d)

x ≤ 20

82.

There are fewer than 150 children at the playground.

a)

c<150

b)

c>150

c)

c≤150

d)

c≥150

83.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

84.

What are two numbers that could be x in x < 8?

a)

8.6, 7.9

b)

11, 16

c)

0.8, 5.9

d)

12, 7.1

85.

x + 5 > 7

a)

x > -2

b)

x > 2

c)

x > 12

d)

x > -12

86.

r - 14 ≥ 17

a)

r ≥ 3

b)

r ≥ -31

c)

r ≥ 31

d)

r ≥ -3

87.

8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

88.

Addie saved more than $36. Which inequality represents the amount that she saved?

a)

s > 36

b)

s < 36

c)

s ≤ 36

d)

s ≥ 36

89.

Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike?

a)

15h ≤ 105

b)

15h > 105

c)

15h < 105

d)

15h ≥ 105

90.

My brother is 2 years older than I am. He is 18 years old. Which equation represents how old I am?

a)

m - 2 = 18

b)

m + 2 = 18

c)

2m = 18

d)

m/2 = 18

91.

The speed limit is 45. Katie was going thirty miles per hour and sped up some. Which inequality represents the amount she could speed up and not be speeding?

a)

30 + s ≥ 45

b)

30 - s ≥ 45

c)

30 + s ≤ 45

d)

30 - s ≤ 45

92.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

93.

X - 10 > 25

a)

X > 35

b)

X < 35

c)

X > -35

d)

X < -35

94.

The sum of a number and 5 is less than 10.

a)

x + 5 > 10

b)

x + 5 <10

c)

x - 5 < 10

d)

x - 5 > 10

95.

A student must be at least 15 years old to obtain a driver’s permit.

a)

x > 15

b)

x < 15

c)

x ≤ 15

d)

x ≥ 15

96.

To order from the kids menu a person must be no more than 12 years old.

a)

x > 12

b)

x < 12

c)

x ≥ 12

d)

x ≤ 12

97.

A number multiplied by 2 is no more than 12

a)

x > 12

b)

x < 12

c)

2x ≤ 12

d)

2x > 12

98.

If your grade is less than a 60, then you have an F.

a)

x < 60

b)

x > 60

c)

x ≤ 60

d)

X ≥ 60

99.

The quotient of a number and 2 is more than 20.

a)

x ÷ 3 < 20

b)

3x < 30

c)

x ÷ 2 > 20

d)

3x > 30

100.

You must be at least 55 inches tall to ride the roller coaster. Write an inequality that shows how tall you must be to get on the ride.

a)

x > 55

b)

x ≥ 55

c)

x < 55

d)

x ≤ 55

101.

Which inequality is represented by the words "less than"?

a)

<

b)

>

c)

≤

d)

≥

102.

-8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

103.

Do I need to flip my sign?
3x ≥ 12

a)

Yes

b)

No

104.

In an equation or inequality, you want to get the variable...

a)

on one side

b)

to disappear

c)

isolated (by itself)

105.

The maximum score on the pilot's test is 95 points.

a)

p < 95

b)

p > 95

c)

p ≥ 95

d)

p ≤ 95

106.

What inequality does the number line graph represent?

a)

x ≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ 3

107.

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

108.

You must be no more than 62 inches tall to play on the playground. Which inequality represents the heights of kids allowed to play?

a)

k ≤ 62

b)

k > 62

c)

k < 62

d)

k ≥ 62

109.

Deanne worked 25 hours this week. That was 3 hours less than she worked last week. Which equations represents how many hours she worked last week?

a)

3h = 25

b)

h + 3 = 25

c)

h - 3 = 25

d)

3 / h = 25

110.

Todd caught at least three times as many fish this year than last year. He caught 63 fish this year. Which inequality represents how many fish he caught last year?

a)

3y > 63

b)

3y < 63

c)

3y ≤ 63

d)

3y ≥ 63

111.

Mary earns $14 per hour. Which equation represents how many hours she worked to earn $112?

a)

14h = 112

b)

14 / h = 112

c)

h + 14 = 112

d)

h - 14 = 112

112.

Kendall has at least 20 sports cards. Which inequality represents the number of sports cards he has?

a)

c > 20

b)

c < 20

c)

c ≤ 20

d)

c ≥ 20

113.

Ryder hiked no more than 8 miles. Which inequality represents the distance he hiked?

a)

h ≥ 8

b)

h ≤ 8

c)

h < 8

d)

h > 8

114.

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

a)

Add 62 to each side.

b)

Subtract 62 from each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

115.

x + 12 = 20

a)

x = 32

b)

x = -32

c)

x = 8

d)

x = -8

116.

17 = x + 3

a)

x = 20

b)

x = 14

c)

x = 13

d)

x = 19

117.

On Friday Fun Day, Mrs. Burns must divide her class into 4 groups with at least 6 students in each group. Write an inequality to find the number, s, of students in class.

a)

s ÷ 4 ≥ 6

b)

s ÷ 4 ≤ 6

c)

s ÷ 6 ≥ 4

d)

s ÷ 6 ≤ 4

118.

Translate the word sentence into an inequality
a number, t, divided by 80 is at most 5.25

a)

t ÷ 80 ≥ 5.25

b)

t ÷ 80 ≤ 5.25

c)

t ÷ 80 > 5.25

d)

t ÷ 80 < 5.25

119.

-4p < 36

a)

p > -9

b)

p < -9

c)

p > -144

d)

p < -144

120.

In 2010, a tree was 8 feet tall. In 2011 the tree was 14 feet tall. Which equation would be used to find how many feet the tree grew?

a)

f + 8 = 14

b)

f - 8 = 14

c)

f/8 = 14

d)

8f=14

121.

Sally bought three candy bars for a total of $18.00. How much did each candy bar cost? Write an equation to solve this problem. Use c as your variable.

a)

18c=6

b)

c + 6= 18

c)

c +18 = 6

d)

3c=18

122.

x + 9 = 14

a)

x = 6

b)

x = -6

c)

x = 23

d)

x = 5

123.

c - 18 = 24

a)

c = 42

b)

c = 6

c)

c = -6

d)

c = 1.3

124.

Erin is four times as old as her brother William. If Erin is 20 years old, how old is William?

a)

80 years old

b)

16 years old

c)

5 years old

d)

24 years old

125.

8.9 + j = 12.8

a)

j = 21.7

b)

j = 3.9

c)

j = 1.4

d)

j = 4.1

126.

Write an equation:
Ms. Biediger's family wants to drive 750 miles. If they drive the same distance each day for 5 days, what distance, d, do they need to drive each day?

a)

5d = 750

b)

5 + d = 750

c)

750d = 5

d)

750 - 5 = d

127.

Write an equation:
Jess bought 3 sandwiches from Jason's Deli. Each sandwich had m ounces of meat. If the total amount of meat was 24 ounces, which equation will show how much meat was in each sandwich?

a)

24(3) = m

b)

24m = 3

c)

3/m = 24

d)

3m = 24

128.

-12p = 60

a)

p = 5

b)

p = -5

c)

p = 48

d)

p = -48

129.

k÷8 = 4

a)

k = 24

b)

k = 32

c)

k = 0.5

d)

k = -4

130.

Solve:
It costs $640 to put on the school play. How many tickets must be sold at $8 each in order to pay for the cost of the play?

a)

80 tickets

b)

5120 tickets

c)

65 tickets

d)

8 tickets

131.

Describe the graph for the solution for the following inequality:
a + 13 ≥ 20

a)

Closed circle; arrow pointing left

b)

Open circle; arrow pointing left

c)

Closed circle; arrow pointing right

d)

Open circle; arrow pointing left

132.

x - 41 > 22

a)

x < 63

b)

x > -19

c)

x < -19

d)

x > 63

133.

Solve:
r - 34 > -23

a)

r < 11

b)

r > -57

c)

r < -57

d)

r > 11

134.

Solve:
45p > 315

a)

p > 270

b)

p < 270

c)

p > 7

d)

p < 7

135.

Would you use a closed or open circle to graph x < 3?

a)

Closed

b)

Open

136.

True or false: you flip the sign every time you multiply or divide with a negative number when you're solving an inequality.

a)

True

b)

False

137.

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

138.

Pick the correct letter for:
6 > x
Hint - rewrite the inequality so that x is on the left side of the equation.

a)

A

b)

B

c)

C

d)

D

139.

Pick the correct answer

a)

x is less than or equal to -2

b)

x < -2

c)

x > -2

d)

x is greater than -2

140.

17 = x + 3

a)

x = 20

b)

x = 14

c)

x = 13

d)

x = 19

141.

Solve the equation:
-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

142.

how would you solve this equation: 9x=153?

a)

multiply

b)

divide

c)

add

d)

subtract

143.

Write an equation for the model above.

a)

x + 3 = -9

b)

x - 3 = 9

c)

3x + 1 = 9

d)

3x - 1 = 9

144.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

145.

What equation is modeled? Solve the equation.

a)

x -6 = 13 x = 19

b)

x + 6 = 13 x = 7

c)

x + 6 = 13 x = 8

d)

x - 6 = 13 x = 7

146.

Which equation is modeled?

a)

x + 3 = 9

b)

x - 3 = 9

c)

3x = 9

d)

3x - 3 = 9

147.

What equation is modeled?

a)

3 = 6

b)

3x = 6

c)

x = 6

d)

3 = 6x

148.

What equation is modeled? Solve the equation.

a)

2x = -4 x = -2

b)

2x = 4 x = 2

c)

2x = 4 x = 8

149.

Six more than some number equals 52

a)

6 + x = 52

b)

6 + 52 = x

c)

6x = 52

d)

6x + 52 =

150.

the product of x and sixteen

a)

x + 16

b)

x - 16

c)

16x

d)

x/16

151.

What equation is modeled? Solve the equation.

a)

x -6 = 13 x = 19

b)

x + 6 = 13 x = 7

c)

x + 6 = 13 x = 8

d)

x - 6 = 13 x = 7

152.

Which equation is modeled? Solve the Equation

a)

x - 6 = 15 x=21

b)

x + 6 =15 x = 9

c)

6x = 15 x = 2

153.

Using the model, write the equation and solve.

a)

6 = 2x; x = 4

b)

6 = 2x; x = 8

c)

6 = 2x; x = 12

d)

6 = 2x; x = 3

154.

Which equation and solution represents the model?

a)

4x = 7; x = 28

b)

7 = x - 4; x = 11

c)

7 = x + 4; x = 3

d)

x + 4 = 3; x = 7

155.

w increased by 5

a)

w - 5

b)

5w

c)

w + 5

d)

w / 5

156.

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.

157.

What is the solution of the equation?
-39.75 = 7.5m

a)

298.125

b)

-5.3

c)

-32.25

d)

-298.125

158.

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

159.

2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

160.

4(p - 6)

a)

-4p - 24

b)

4p + 24

c)

4p + 24

d)

4p - 24

161.

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

162.

4(k + 7)

a)

4k + 28

b)

4k - 28

c)

-4k + 28

d)

4k - 28

163.

9(2g + 3)

a)

18g + 27

b)

18g - 27

c)

-18g - 27

d)

18g - 18

164.

(b + 8)5

a)

b + 40

b)

5b - 40

c)

5b + 40

d)

5b + 8

165.

(x - 6)4

a)

24 - 4x

b)

4x - 6

c)

x - 24

d)

4x - 24

166.

10(8-2x)

a)

80-20x

b)

80+20x

167.

3(6x-5)

a)

18x-15

b)

18x+-15

c)

9+15x

d)

9x-15

168.

5(2x-11)

a)

-10x-55

b)

10x-55

c)

55-10x

d)

10x+55

169.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

170.

n +10 +9n -3=

a)

-3

b)

9n-3

c)

n

d)

10n + 7

171.

Simplify the expression: 7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

172.

Combine like terms
3x + 2x + 11y - 7y

a)

5x + 10y

b)

5x - 4y

c)

5x + 4y

d)

5x -10y

173.

Simplify the expression: 3x + 2x

a)

5x

b)

x

c)

6x

d)

5

174.

6y+3y+9y+7y

a)

25

b)

10

c)

19

d)

25y

175.

2x+3x-5

a)

5x-5

b)

5x

c)

0

d)

6x - 5

176.

13+6k+11k-10

a)

17k+-13

b)

13k+17

c)

-13+17k

d)

3 + 17k

Equation and Inequality Review

Total questions: 176

Worksheet time: 7hrs 35mins

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