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2-step Inequalities

Total questions: 15

Worksheet time: 3hrs 3mins

Name
Class
Date
1.

4x - 4 ≥ -20

a)

x ≥ -6

b)

x ≥ -4

c)

x ≤ -4

d)

x ≤ -6

2.

-3 +6b < 21

a)

b < 4

b)

12 > b

c)

b > 12

d)

b > 4

3.

6 - 2h > -18

a)

h < 12

b)

14 > h

c)

h > 12

d)

h < -12

4.
a)

x is less than or equal to -2

b)

x < -2

c)

-2 < x

d)

x is greater than -2

5.
a)
x > 1
b)
1 ≥ x
c)
x is greater than or equal to 1
d)
x is less than or equal to 1
6.

Solve for t.


6t + 4 ≤ 22

a)

t ≤ -3

b)

t ≤ 3

c)

t ≥ -3

d)

t ≥ 3

7.

Solve for k.


-7k – 2 ≥ -9

a)

k ≤ -1

b)

k ≤ 1

c)

k ≥ 1

d)

k ≥ -1

8.

Solve for k.

2k - 9≤ -18

a)

k ≤ -9

b)

k ≤ 9

c)

k < -9

d)

k < 9

9.

Solve for u.

u/7 – 1 ≤ 1

a)

14 ≥ u

b)

14 ≤ u

c)

u ≤ 14

d)

u ≤ -14

10.

x/4 + 2 > -3

a)

x < -20

b)

x > -20

c)

x > 20

d)

x < 20

11.

29 ≤ -4x + 5

a)

6 ≥ x

b)

-6 ≤ x

c)

-6 ≥ x

d)

6 ≤ x

12.
Match the graph with its inequality.
a)
a > 11
b)
a< 11
c)
 a ≥ 11
d)
 a ≤ 11
13.

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

14.

34 ≥ - 3x - 2

a)

-12 ≥ x

b)

-12 ≤ x

c)

12 ≤ x

d)

12 ≥ x

15.
16 - 4a > 8
a)
a<-2
b)
a>-2
c)
a<2
d)
a>2