Free Printable Inequalities Quiz

1.

Solve this

$3x+4\le19$

a)

x = 5

b)

$x\ >5$

c)

$x\le5$

2.

What is the answer to this inequality?

8n-6n>24

a)

n>12

b)

$n<12$

c)

$n\ge12$

3.

$4\left(4n-3\right)\le\left(-44\right)$
The first thing I need to do is distribute the (a) to 4n and 3.

4.

4\left(4n-3\right)\le\left(-44\right)

After distributing, my iniquality should look like what?

a)

$8n-3\le-44$

b)

$8n-7\le-44$

c)

$16n-12\le-44$

d)

$16n-3\le-44$

5.

Now solve

$16n-12\le-44$

a)

$n\ge-2$

b)

$n\le-2$

c)

$n\ge2$

6.

$3\left(3+3n\right)>27$

a)

$n>2$

b)

$n<2$

c)

$n\ge3$

7.

$33\le3\left(2+3p\right)$

a)

$p<3$

b)

$p<11$

c)

$p\ge3$

8.

Solve this......

$3\left(3-3n\right)<36$

a)

$n<-3$

b)

$n>-3$

c)

$n\le-3$

9.

Now lets put it all together! Distribute, combine and solve!!

$-3\left(2-3x\right)<-33$

a)

$x<3$

b)

$x>-3$

c)

$x<-3$

10.

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

a)

<, >

b)

≤, ≥

11.

x + 5 > 7

a)

x > -2

b)

x > 2

c)

x > 12

d)

x > -12

12.

a)

x > 3

b)

x ≤ ⅕

c)

x ≥ 3

d)

x ≤ ⅕

13.

s + 9 ≥ -25

a)

s ≥ -18

b)

s ≥ -34

c)

s ≤ 18

d)

s ≥ 34

14.

28 − k ≥ 7(k − 4)

a)

k ≥ -7

b)

k ≤ -7

c)

k ≥ 7

d)

k ≤ 7

15.

6x + 2 + 6x < 14

a)

x < 1

b)

x > 1

c)

x < -1

d)

x > -1

16.

$5\left(x-4\right)+2\le-33$

a)

$x\ge-3$

b)

$x\le-3$

c)

$x\le3$

d)

$x\ge3$

17.

$4x-6>6x-20$

a)

$x<7$

b)

$x<-7$

c)

$x>7$

d)

$x>-$

18.

$-2\left(x+7\right)\le-8$

a)

$x\le3$

b)

$x\ge3$

c)

$x\ge-3$

d)

$x\le-3$

19.

Match the graph with its inequality.

a)

b > –2

b)

b < –2

c)

b ≥ –2

d)

b ≤ –2

20.

What inequality does the number line graph represent?

a)

x ≤ -4

b)

x ≥ -4

c)

x < -4

d)

x < 4

21.

What inequality does the number line graph represent?

a)

x≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ 3

22.

-3 − 6(4x + 6) > -111

a)

x > 3

b)

x < 3

c)

x < -3

d)

x > -3

23.

Which graph matches the inequality

k < 3?

a)

A

b)

B

c)

C

d)

D

24.

Which graph matches the inequality
-2 ≥ n?

a)

A

b)

B

c)

C

d)

D

25.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

26.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

27.

Is x = 12 a given solution to the inequality.
x > 5

a)

TRUE

b)

FALSE

28.

Is x = 9 a solution to the given inequality.
x > 9

a)

TRUE

b)

FALSE

29.

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

30.

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

a)

≤, ≥

b)

<, >

31.

Select the graph the correctly identifies the solution to:

-10r-37>3

a)

b)

c)

d)

32.

Select the graph the correctly identifies the solution to:

1+b>1

a)

b)

c)

d)

33.

The following graph shows the solution with which inequality:

a)

$-6x-21>3$

b)

$-6x-21\ge3$

c)

$-6x-21<3$

d)

$-6x-21\le3$

34.

Select the graph the correctly identifies the solution to:

2\left(x+6\right)<-6

a)

b)

c)

d)

35.

Solve.

a)

a > -24

b)

a > 6

c)

a > -36

d)

a > -10

36.

-5h + 2 ≥ -8

a)

h≤2

b)

h>4

c)

h≤3

d)

h≥2

37.

3 < -5n + 2n

a)

n < 1

b)

n > 1

c)

n < -1

d)

n > -1

38.

6x + 2 + 6x < 14

a)

x < 1

b)

x > 1

c)

x < -1

d)

x > -1

39.

3 < -5n + 2n

a)

n < 1

b)

n > 1

c)

n < -1

d)

n > -1

40.

Solve the inequality

4(5x + 2) ≤ 28

a)

x ≤ 1

b)

x ≥ 1

c)

x ≤ 8

d)

x ≥ 8

41.

Solve the following inequality:

-8\left(-4n-3\right)\ge280

a)

$n\ge-2$

b)

$n\le-2$

c)

$n\ge-7$

d)

$n\ge8$

42.

Solve the following inequality:

-2\left(x+2\right)<14

a)

$x<-5$

b)

$x>-5$

c)

$x<-9$

d)

$x>-9$

43.

Solve the following inequality:

-15<4x+1

a)

$x>4$

b)

$x<4$

c)

$x>-4$

d)

$x<-4$

44.

-3 − 6(4x + 6) > -111

a)

x > 3

b)

x < 3

c)

x < -3

d)

x > -3

45.

a − 6 ≤ 15 + 8a

a)

a ≤ -3

b)

a ≥ -3

c)

a ≤ 3

d)

a ≥ 3

46.

Solve:
7(x + 3) < 5x + 13

a)

x>-4

b)

x < 17

c)

x<-4

d)

x > -17

47.

28 − k ≥ 7(k − 4)

a)

k ≥ -7

b)

k ≤ -7

c)

k ≥ 7

d)

k ≤ 7

48.

-2(5 + 6n) < 6(8 − 2n)

a)

no solution

b)

infinite solution

c)

x < 0

d)

x > 0

49.

You want to spend at most $1200 on a new laptop. If you make a $400 down payment, then pay the same amount every month for 12 months. Which Inequality could be use to solve to find out how much you can pay each month.

a)

12x + 1200 > 400

b)

12x + 400 < 1200

c)

12x + 400 > 1200

d)

12x + 400 < 1200

50.

Your taxi fare is $2.50 per mile, plus a $5 fee. You cannot exceed $20. Which inequality models this scenario?

a)

5x + 2.50 ≤ 20

b)

2.50x + 5 < 20

c)

2.50x + 5 ≤ 20

d)

7.50x < 20

51.

Which graph matches the inequality

k < 3?

a)

A

b)

B

c)

C

d)

D

52.

Which graph matches the inequality
2 > p?

a)

A

b)

B

c)

C

d)

D

53.

Which graph matches the inequality
-2 ≥ n?

a)

A

b)

B

c)

C

d)

D

54.

Which graph matches the inequality
r ≥ -6?

a)

A

b)

B

c)

C

d)

D

55.

Which graph matches the inequality
½ ≤ a?

a)

A

b)

B

c)

C

d)

D

56.

Which graph matches the inequality
b ≥ -³/₂?

a)

A

b)

B

c)

C

d)

D

57.

Which graph matches the inequality
³/₂ ≥ p?

a)

A

b)

B

c)

C

d)

D

58.

Which graph matches the inequality
¹/₂ > b?

a)

A

b)

B

c)

C

d)

D

59.

Which graph matches the inequality
-0.2 ≤ x?

a)

A

b)

B

c)

C

d)

D

60.

Which graph matches the inequality
x < -1.1?

a)

A

b)

B

c)

C

d)

D

61.

Which graph matches the inequality
x < -2.8?

a)

A

b)

B

c)

C

d)

D

62.

Which graph matches the inequality
2.5 ≤ x?

a)

A

b)

B

c)

C

d)

D

63.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

64.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

65.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

66.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

67.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

68.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

69.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

70.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

71.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

72.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

73.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

74.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

75.

Write an expression.
Anita needs at least an 90 grade (g) on her test to get an A in math class.

a)

g ≤ 90

b)

g ≥ 90

c)

g < 90

d)

g > 90

76.

Solve the inequality.

30 + n ≥ 50

a)

n > 50

b)

n ≥ 80

c)

n < 30

d)

n ≥ 20

77.

Is x = 9 a solution to the given inequality.
x > 9

a)

TRUE

b)

FALSE

78.

Is x = 12 a given solution to the inequality.
x > 5

a)

TRUE

b)

FALSE

79.

Is the following item an expression, equation, or inequality.
13 + 6

a)

Expression

b)

Equation

c)

Inequality

80.

Is the following item an expression, equation, inequality.
h ≥ 27

a)

Expression

b)

Equation

c)

Inequality

81.

What inequality does the number line graph represent.

a)

x < 2

b)

x > 2

c)

x ≥ 2

d)

x ≤ 2

82.

Will my dot be colored in?
5 ≥ x

a)

Yes

b)

No

83.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

84.

2x+6>12

a)

x>9

b)

x>3

c)

x<9

d)

x<3

85.

-4x-7≥21

a)

x≥7

b)

x≥-7

c)

x≤8

d)

x≤-7

86.

Which is the solution of
-6a ≥ -36

a)

a ≥ 6

b)

-6 ≥ a

c)

a ≤ 6

d)

6 ≤ a

87.

Solve:
8m - 9 > 71

a)

m > 10

b)

m > 1

c)

m < 1

d)

m > -48

88.

2x + 3 ≤ 15

a)

x ≤ 6

b)

x ≥ -6

c)

x ≤ 9

d)

x≤ -9

89.

The number line shows

a)

x is less than 2

b)

x is greater than or equal to 2

c)

x is less than or equal to 2

d)

x is greater than 2

90.

- 5 x ≥ 30

a)

x ≥ -6

b)

x > 6

c)

x < 6

d)

x ≤ -6

91.

-5h + 2 ≥ -8

a)

h≤2

b)

h>4

c)

h≤3

d)

h≥2

92.

3 < -5n + 2n

a)

n < 1

b)

n > 1

c)

n < -1

d)

n > -1

93.

6x + 2 + 6x < 14

a)

x < 1

b)

x > 1

c)

x < -1

d)

x > -1

94.

3 < -5n + 2n

a)

n < 1

b)

n > 1

c)

n < -1

d)

n > -1

95.

Solve the inequality

4(5x + 2) ≤ 28

a)

x ≤ 1

b)

x ≥ 1

c)

x ≤ 8

d)

x ≥ 8

96.

Solve the following inequality:

-8\left(-4n-3\right)\ge280

a)

$n\ge-2$

b)

$n\le-2$

c)

$n\ge-7$

d)

$n\ge8$

97.

Solve the following inequality:

-2\left(x+2\right)<14

a)

$x<-5$

b)

$x>-5$

c)

$x<-9$

d)

$x>-9$

98.

Solve the following inequality:

-15<4x+1

a)

$x>4$

b)

$x<4$

c)

$x>-4$

d)

$x<-4$

99.

-3 − 6(4x + 6) > -111

a)

x > 3

b)

x < 3

c)

x < -3

d)

x > -3

100.

a − 6 ≤ 15 + 8a

a)

a ≤ -3

b)

a ≥ -3

c)

a ≤ 3

d)

a ≥ 3

101.

Solve:
7(x + 3) < 5x + 13

a)

x>-4

b)

x < 17

c)

x<-4

d)

x > -17

102.

28 − k ≥ 7(k − 4)

a)

k ≥ -7

b)

k ≤ -7

c)

k ≥ 7

d)

k ≤ 7

103.

-2(5 + 6n) < 6(8 − 2n)

a)

no solution

b)

infinite solution

c)

x < 0

d)

x > 0

104.

You want to spend at most $1200 on a new laptop. If you make a $400 down payment, then pay the same amount every month for 12 months. Which Inequality could be use to solve to find out how much you can pay each month.

a)

12x + 1200 > 400

b)

12x + 400 < 1200

c)

12x + 400 > 1200

d)

12x + 400 < 1200

105.

Your taxi fare is $2.50 per mile, plus a $5 fee. You cannot exceed $20. Which inequality models this scenario?

a)

5x + 2.50 ≤ 20

b)

2.50x + 5 < 20

c)

2.50x + 5 ≤ 20

d)

7.50x < 20

106.

Which operations must we UNDO to solve this inequality?

$\frac{x}{-6}\ +\ 20\ >\ 4$

a)

Subtraction, then multiplication

b)

Multiplication, then division

c)

Addition, then division.

d)

Addition, then subtraction

107.

What is the first step to solving this inequality?

$9x\ -\ 6\ >\ 66$

a)

Add 9 to both sides of the inequality.

b)

Divide both sides of the inequality by 9.

c)

Subtract 6 on both sides of the inequality.

d)

Add 6 to both sides of the inequality.

108.

What is the first step to solve the following inequality?

$\frac{m}{-6}\ +\ 17\ \le\ 23$

a)

Multiply both sides of the inequality by -6

b)

Subtract 17 on both sides of the inequality.

c)

Divide both sides of the inequality by -6

d)

Add 17 to both sides of the inequality.

109.

What is the first step to solve the following inequality?

$25\ -\ 4y\ \ge\ 37$

a)

Subtract 25 from both sides of the inequality.

b)

Add 25 to both sides of the inequality.

c)

Divide both sides of the inequality by 4.

d)

Multiply both sides of the inequality by -4.

110.

What are the correct steps to solving this inequality?

$-3x\ -\ 12\ >\ 48$

a)

Subtract 12, then divide by 3, then reverse the inequality sign.

b)

Add 12, then multiply by -3, then reverse the inequality sign.

c)

Add 12, then divide by -3, then reverse the inequality sign.

d)

Subtract 12, then divide by -3, then reverse the inequality sign.

111.

In which of these inequalities will we need to reverse the inequality sign?

a)

$4a\ -\ \left(-8\right)\ \ge36$

b)

$\frac{b}{-6}\ +\ 10\ \le\ -2$

c)

$\frac{k}{5}\ +\ \left(-9\right)\ <\ 16$

d)

$3d\ +17\ >-1$

112.

How do we solve this inequality?

$9\ -\ \frac{4}{5}x\ \le-3$

a)

Subtract 9, then multiply both sides by $-\frac{5}{4}$

b)

Subtract 9, then multiply both sides by $\frac{5}{4}$

c)

Add 9, then multiply both sides by $-\frac{5}{4}$

d)

Add 9, then multiply both sides by $-\frac{4}{5}$

113.

Solve the following inequality:

$-8\ -\ 6x\ \ge10$

a)

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

b)

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

c)

$x\ \ge-3$

d)

$x\ \le-3$

114.

Solve the following inequality:

-8\left(-4n-3\right)\ge280

a)

$n\ge-2$

b)

$n\le-2$

c)

$n\ge-7$

d)

$n\ge8$

115.

Solve the following inequality:

-10<\frac{x}{5}+4

a)

$x<-30$

b)

$x<-70$

c)

$x>-70$

d)

$x>-30$

116.

Solve the following inequality:

\frac{-w+6}{2}<5

a)

$w>-4$

b)

$w>-2$

c)

$w<-4$

d)

$w<-16$

117.

Solve the following inequality:

-15<4x+1

a)

$x>4$

b)

$x<4$

c)

$x>-4$

d)

$x<-4$

118.

Solve the following inequality:

-2\left(x+2\right)<14

a)

$x<-5$

b)

$x>-5$

c)

$x<-9$

d)

$x>-9$

119.

Select the graph the correctly identifies the solution to:

1+b>1

a)

b)

c)

d)

120.

Select the graph the correctly identifies the solution to:

-10r-37>3

a)

b)

c)

d)

121.

The following graph shows the solution with which inequality:

a)

$-6x-21>3$

b)

$-6x-21\ge3$

c)

$-6x-21<3$

d)

$-6x-21\le3$

122.

Select the graph the correctly identifies the solution to:

2\left(x+6\right)<-6

a)

b)

c)

d)

123.

The following graph shows the solution to which inequality?

a)

$-2x+6\le12$

b)

$-2x-10\le-16$

c)

$3x+2\le-7$

d)

$4x-7\le5$

124.

Select all that are solutions to the inequality:

$3-x<-2x+1$

a)

-2

b)

0

c)

-7

d)

6

e)

-5

125.

What value for x makes the following inequality true?

$\frac{6-5x}{4}>-x+1$

a)

-1

b)

2

c)

4

d)

5

126.

The graph represents solutions to which inequality?

a)

$3x-4<6x+8$

b)

$5x\ge6x-5$

c)

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

d)

$x+7\le2\left(x-5\right)$

127.

Which graph represents the solution to the inequality?

$1.5x+4<x+7$

a)

b)

c)

d)

128.

What is the solution to this inequality?

$\frac{1}{2}\left(x+\frac{3}{2}\right)>\frac{7}{8}$

a)

$x>\frac{1}{4}$

b)

$x>\frac{13}{16}$

c)

$x>3\frac{1}{4}$

d)

$x>\frac{1}{16}$

129.

9 ≥ -2m + 2 − 3

a)

m ≤ 5

b)

m ≤ -5

c)

m ≥ -5

d)

m ≥ 5

130.

-3 − 6(4x + 6) > -111

a)

x > 3

b)

x < 3

c)

x < -3

d)

x > -3

Inequalities Quiz

Total questions: 130

Worksheet time: 9hrs 33mins

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