Algebra Test Inequalities 2

Question 1

Solve: 2x - 3 < 7

Accepted Answer

x < 5

Answer

Add 3 to both sides to get 2x < 10, then divide by 2 to get x < 5.

Question 2

What is the solution to -x ≥ 3?

Accepted Answer

x ≤ -3

Answer

Multiply both sides by -1 and flip: x ≤ -3.

Question 3

Solve the compound inequality: -1 < x + 2 < 5

Accepted Answer

-3 < x < 3

Answer

Subtract 2 from all three parts: -3 < x < 3.

Question 4

Which graph shows x ≤ -2?

Accepted Answer

Closed circle at -2, shading left

Answer

x ≤ -2 uses a closed circle at -2 with shading to the left.

Question 5

Solve: 4x + 1 ≥ 2x + 9

Accepted Answer

x ≥ 4

Answer

Subtract 2x to get 2x + 1 ≥ 9, subtract 1 to get 2x ≥ 8, divide to get x ≥ 4.

Algebra Test Practice Test