Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Looking for a systems of inequalities quiz? Then this Algebra 1 quiz on Graphing Inequalities and Systems with Shaded Regions asks 10 multiple-choice questions with instant feedback. Ten multiple-choice questions on boundaries, shading, test points, systems and constraints. The explanations name the usual mistake behind each wrong choice.
Standards: A-REI.D.12, A-CED.A.3 · Level: Grade 9 Algebra 1
What this Graphing Inequalities and Systems with Shaded Regions quiz checks
- A boundary line is solid for ≤ and ≥, dashed for < and >.
- Test a point not on the line to decide which side to shade.
- Dividing by a negative number reverses the inequality sign.
- The solution of a system is the overlap of all the shaded half-planes.
- In real problems, add x ≥ 0 and y ≥ 0 when quantities cannot be negative.
The 10 questions of the quiz
- When is a boundary line dashed?
- For y > 3x + 2, you test (0, 0). What do you conclude?
- A solid boundary and a shaded region are drawn below. Choose the inequality that they represent.
- Which point is a solution of y ≥ 2x − 3?
- Solve −2y < 8 for y.
- Which point lies in the region where both shadings overlap?
- Which two points does the boundary of x + y ≤ 6 pass through on the axes?
- A student must read at least 30 pages. Which inequality models this?
- Which system has no solution?
- Which set lists the corner points of x ≥ 0, y ≥ 0 and x + y ≤ 5?
After the quiz
Missed a question? Reread the Graphing Inequalities and Systems with Shaded Regions lesson, then take the quiz again. Next, solve the Algebra 1 worksheet on Graphing Inequalities and Systems with Shaded Regions, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.