Graphing Inequalities on a Number Line Practice Test

Translate among inequalities, interval notation, endpoint symbols, shaded rays, compound graphs, and solution sets.

Graphing Inequalities on a Number Line Practice Test

20 number-line interpretation and graph-description questions with worked explanations.

About This Graphing Inequalities on a Number Line Practice Test

Graphing makes an inequality visual: circle type controls whether a boundary is included, while shading shows which values satisfy the condition.

The test covers open and closed circles, left and right rays, bounded intervals, unions, interval notation, solved inequalities, all-real and empty sets, phrases such as “at least,” and absolute-value intervals.

Skills Covered

You will translate between symbols, intervals, and graph descriptions; distinguish AND from OR; solve before graphing; and interpret special solution sets.

How to Approach the Questions

  1. Use open circles for < or > and closed circles for ≤ or ≥.
  2. Shade left for less-than conditions and right for greater-than conditions.
  3. For AND inequalities, shade the overlap between boundaries.
  4. For OR inequalities, graph the union of the separate rays.

Common Mistakes to Avoid

Common errors include confusing endpoint inclusion, shading in the wrong direction, graphing an OR statement as a bounded interval, and forgetting to reverse a sign before drawing the graph.

Practice Format

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.