Two-Step Inequalities Practice Test

About This Two-Step Inequalities Practice Test

This free test focuses on two-step linear inequalities without mixing in longer multi-step equations.

Each problem provides four choices, immediate feedback, a worked solution, and explanations for every incorrect answer.

Skills Covered

Using inverse operations, reversing the sign after division by a negative number, preserving endpoint type, and interpreting verbal limits.

Key Ideas

1. Remove the constant term first.
2. Divide by the variable coefficient second.
3. Reverse the inequality only for multiplication or division by a negative value.
4. Keep < and > open; keep ≤ and ≥ closed.

Common Mistakes to Avoid

Common mistakes include reversing the sign after adding or subtracting, failing to reverse after dividing by a negative, and changing a strict inequality into an inclusive one.

Practice Format

Each question has four answer choices. The explanation shows the method, completes the work, states the conclusion, and explains why every distractor is incorrect.