Linear Inequalities Practice Test
20 varied inequality questions with complete steps and endpoint explanations.
Solve and interpret linear inequalities while controlling direction, endpoints, and special solution sets.
20 varied inequality questions with complete steps and endpoint explanations.
Linear inequalities are solved much like equations, with one critical rule: multiplying or dividing by a negative number reverses the inequality direction.
Several questions produce all real numbers or no solution, requiring interpretation rather than a numerical boundary.
You will isolate variables, reverse signs correctly, preserve strict or inclusive endpoints, solve compound inequalities, and recognize identities and contradictions.
Typical errors include reversing the sign during addition, failing to reverse it during negative division, changing < to ≤, dropping one side of a compound inequality, and inventing a boundary when the variable cancels.
Use this free 20-question test for classroom review, tutoring, homework support, exam preparation, or independent practice. Each response is followed by an explanation, and the test can be repeated without registration.