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Systems of Inequalities (Set 2) Worksheet

Algebra 1 Math · printable worksheet (PDF) with answer key · 14 problems · CCSS HSA.REI.D.12

A printable algebra 1 systems of inequalities (set 2) practice worksheet with 14 problems and a complete, step-by-step answer key — formatted to print cleanly on standard paper. Included in the one-time $20 unlock for the full NudgeLearn library.

Sample problems

A point is a solution of a system of inequalities only when it satisfies every inequality. Test each point by substituting its coordinates, and remember that $\leq$ and $\geq$ include the boundary. Show your work.

1. Is $(3, 2)$ a solution of $y > x - 2$ ? Substitute and explain.
2. Is $(- 2, 1)$ a solution of $y \geq - x$ ? Substitute and explain.
3. Is $(4, 3)$ a solution of the system ${y < x y > x - 3$ ? Check both inequalities.
4. Is $(1, 1)$ a solution of the system ${y \geq 2 x - 1 y \leq x + 3$ ? Check both inequalities.

Plus 10 more problems and a full answer key in the PDF.

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