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Inequalities: Substitution

Total questions: 25

Worksheet time: 50mins

Name
Class
Date
1.

When do you use a closed circle on a graph for an inequality?

a)

When it is ≥ or ≤

b)

When it is > or <

c)

When the number in front of the variable is negative

d)

When it is only =

2.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

3.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
4.

Pick the correct letter for:

x < 6

a)

A

b)

B

c)

C

d)

D

5.
more than
a)
<
b)
>
c)
d)
6.
less than or equal to
a)
<
b)
>
c)
d)
7.

Match the graph with its inequality. hint: don't be tricked by the variable on the right.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

8.
What inequality does the number line graph represent?
a)
x ≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ -3
9.
x - 7 ≥ 4
a)
x ≥ 11
b)
x ≥ -11
c)
x ≥ 3
d)
x ≥ -3
10.
14 ≥ x - 8
a)
22 ≥ x
b)
-22 ≥ x
c)
6 ≥ x
d)
-6 ≥ x
11.
x + 7 > 15 if x = 10
a)
True
b)
False
12.
6m ≤ 30     if m = 5 
a)
True
b)
False
13.
p - 81 ≥ 20          if p = 100
a)
True
b)
False
14.
k⁄5 < 15     if k = 75
a)
True
b)
False
15.
18 ≤ x + 12      if x = 10
a)
True
b)
False
16.
h + 15 > 28      (12, 13, 14)
a)
12
b)
13
c)
14
17.
63 ≥ 9s       (4, 6, 2)
a)
4
b)
6
c)
2
18.

Tell whether the number is a solution to the inequality:

6 + w ≥ 12; when w = 5

a)

IS a solution

b)

Is NOT a solution

19.

Tell whether the number is a solution to the inequality:

11 + c ≥ 8; when c = -3

a)

IS a solution

b)

Is NOT a solution

20.

Tell whether the number is a solution to the inequality:

c - 4 ≤ 11; when c = -7

a)

IS a solution

b)

Is NOT a solution

21.

Tell whether the number is a solution to the inequality:

11 < 3y; when y = 8

a)

IS a solution

b)

Is NOT a solution

22.

Tell whether the number is a solution to the inequality:

5x > 30; when x = 4

a)

IS a solution

b)

Is NOT a solution

23.

Tell whether the number is a solution to the inequality:

a/4 < -4; when a = 20

a)

IS a solution

b)

Is NOT a solution

24.

Which number(s) would be a solution to the inequality? Select all that apply.

4 - y ≤ -7

a)

y = 11

b)

y = 12

c)

y = 15

d)

y = 20

25.
18 ≤ x + 12      if x = 10
a)
True
b)
False