Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Looking for a linear inequalities quiz? Then this Algebra 1 quiz on Solving, Graphing and Modeling with Inequalities asks 10 multiple-choice questions with instant feedback. Ten multiple-choice questions on solving, graphing and modeling inequalities. The explanations point out the common slips behind the wrong choices.
Standards: A-REI.B.3, A-CED.A.1, A-CED.A.3 · Level: Grade 9 Algebra 1
What this Solving, Graphing and Modeling with Inequalities quiz checks
- Reverse the sign only when multiplying or dividing by a negative number.
- Open circles and parentheses mean the boundary is excluded; closed circles and brackets include it.
- An and-inequality graphs as one segment; an or-inequality can graph as two rays.
- At most means ≤, at least means ≥, and between usually means a compound inequality.
- Test a value from the shaded region in the original inequality.
The 10 questions of the quiz
- Solve 3x + 5 > 20.
- Solve −4x ≥ 20.
- Which inequality does the graph show?
- Which is the interval notation for −1 < x ≤ 6?
- Which describes the graph?
- Solve −2 < x + 1 < 6.
- When must you reverse an inequality sign?
- Tickets cost $6 each plus a $3 fee. A student can spend at most $45. Which inequality models this?
- What is the smallest integer solution of 2x − 5 > 7?
- Which value is a solution of 3x − 2 ≤ 10?
After the quiz
Missed a question? Reread the Solving, Graphing and Modeling with Inequalities lesson, then take the quiz again. Next, solve the Algebra 1 worksheet on Solving, Graphing and Modeling with Inequalities, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.