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Systems of Inequalities Worksheet

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

A printable algebra 1 systems of inequalities 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. Show your work.

1. Is $(4, 1)$ a solution of $y < 2 x$ ? Substitute and explain.
2. Is $(0, 5)$ a solution of $y \leq x + 2$ ? Substitute and explain.
3. Is $(2, 3)$ a solution of the system ${y > x y < x + 4$ ? Check both inequalities.
4. The grid shows the boundary lines $y = x - 1$ and $y = - x + 3$ , with the point $P$ marked. Is $P (3, - 1)$ a solution of the system ${y \leq x - 1 y \leq - x + 3$ ?

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

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