Test
Systems of equations and inequalities test
Students practise solving systems and checking solutions using equation systems and inequality conditions. Tasks include selecting ordered pairs that satisfy multiple inequalities and finding points that meet all given constraints. Level: 10th grade.
By Edform · Mathematics · Grade 10 · Published Oct 28, 2026 · New
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Questions
- Solve the system: 2x + y = 7 and x - y = 2.
- Which ordered pairs satisfy both inequalities x + y ≤ 5 and y > 1? Select all that apply.
- A point must satisfy x + y ≤ 8, x ≥ 2, and y ≥ 1. Which point is a solution?
- The ordered pair (8/3, 2) solves the system 3x + 2y = 12 and 3x - 2y = 4.
- A school event sells adult tickets for $12 and student tickets for $8. If 10 tickets bring in $96, how many adult tickets were sold?
- How many solutions does the system y = 2x + 1 and y = 2x - 3 have? Answer in one or two words.
- Which point satisfies both inequalities y ≥ 2x - 1 and y < -x + 5?
- Solve the system y = 3x - 2 and x + y = 10.
- The point (2, 1) satisfies both inequalities y > x - 2 and y ≤ -x + 4.
- Which system has no solution?
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