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Linear Inequalities Challenge

Total questions: 11

Worksheet time: 6mins

Name
Class
Date
1.

Graph the inequality x > 3 on a number line.

a)

The graph of x > 3 on a number line is a closed circle at 3 with a shaded region to the right.

b)

The graph of x > 3 on a number line is an open circle at 3 with a shaded region to the left.

c)

The graph of x > 3 on a number line is a closed circle at 3 with a shaded region to the left.

d)

The graph of x > 3 on a number line is an open circle at 3 with a shaded region to the right.

2.

Solve the inequality 2x + 5 < 11.

a)

x ≤ 3

b)

x > 3

c)

x < 3

d)

x = 3

3.

Graph the inequality x ≤ -2 on a number line.

a)

The graph of x ≤ -2 on a number line is an open circle at -2 with shading to the left.

b)

The graph of x ≤ -2 on a number line is a closed circle at -2 with no shading.

c)

The graph of x ≤ -2 on a number line is a closed circle at -2 with shading to the right.

d)

The graph of x ≤ -2 on a number line is a closed circle at -2 with shading to the left.

4.

Solve the inequality 3x - 4 > 8.

a)

x = 4

b)

x < 4

c)

x > 4

d)

x > 8

5.

Identify the solutions to the inequality 2x + 3 < 9.

a)

x < 3

b)

x ≤ 3

c)

x = 3

d)

x > 3

6.

Graph the inequality x ≥ 0 on a number line.

a)

x < 0

b)

x = 0

c)

x > 0

d)

x ≥ 0

7.

Solve the inequality 5x + 2 ≤ 17.

a)

x = 5

b)

x ≤ 3

c)

x > 3

d)

x < 2

8.

Identify the solutions to the inequality 3x - 1 > 5.

a)

x = 2

b)

x > 5

c)

x < 2

d)

x > 2

9.

Graph the inequality x < 4 on a number line.

a)

The correct graph of x < 4 on a number line is an open circle at 4 with shading to the left.

b)

The graph of x < 4 on a number line is a closed circle at 4 with shading to the right.

c)

The correct graph of x < 4 on a number line is a closed circle at 4 with shading to the left.

d)

The graph of x < 4 on a number line is an open circle at 4 with shading to the right.

10.

Solve the inequality 2x - 7 < 11.

a)

x < 9

b)

x < 7

c)

x = 9

d)

x > 9

11.

Identify the solutions to the inequality 6x + 2 ≥ 20.

a)

x ≤ 3

b)

x = 2

c)

x ≥ 3

d)

x > 5