Inequalities Unit Test 2024

1. Solve. 48 > 6x

• x < 8
• x > 8
• x < 42
• x > 42

2. Solve. -3x + 8 > 11

• x < 1
• x < -1
• x > 1
• x > -1

3. Solve. 15x + 60 < 240

• x < 12
• x > 12
• x < 20
• x > 20

4. If x = -1, then which of the following inequalities makes a true statement?

• 4x + 9 > 20
• -4x - 5 > -15
• -3x + 15 > 18
• -5x -15 > -2

5. Xavier has biked 14 miles this week. He has 6 training days remaining. How many miles should Xavier bike per day to reach a MINIMUM of 80 miles for the week?

• x ≥ 12
• x ≥ 11
• x ≤ 10
• x ≥ 10

6. Match the inequality to the number line below.

• F. -3.5 ≤ x
• A. -5 > x
• B. x ≤ -3.5
• C. -2 < x
• D. x > -5

7. Match the inequality to the number line below.

• D. x > -5
• A. -5 > x
• B. x ≤ -3.5
• C. -2 < x
• E. -2 > x

8. Match the inequality to the number line below.

• E. -2 > x
• A. -5 > x
• B. x ≤ -3.5
• C. -2 < x
• D. x > -5

9. Which number line best represents the solution to the problem below? -x - 8 ≤ 16

• A
• B
• C
• D

10. Solve.

• x ≥ 36
• x ≤ 36
• x ≥ 4
• x ≤ 4