✏️ Solving Quadratics: Practice A (A-REI.B.4)

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Solve quadratic equations by factoring, completing the square or the quadratic formula. Solve each problem.

1. x² + 8x + 7 = 0

2. x² + 13x + 40 = 0

3. x² + 11x + 28 = 0

4. x² − 10x + 21 = 0

5. x² − x = 0

6. x² − 13x + 40 = 0

7. x² + 7x + 12 = 0

8. x² − 6x − 7 = 0

9. x² − 7x + 12 = 0

10. x² − 9x + 20 = 0

11. x² + 15x + 54 = 0

12. x² + 9x + 8 = 0

Answer key: 1) x = -7 or x = -1 · 2) x = -8 or x = -5 · 3) x = -7 or x = -4 · 4) x = 3 or x = 7 · 5) x = 0 or x = 1 · 6) x = 5 or x = 8 · 7) x = -4 or x = -3 · 8) x = -1 or x = 7 · 9) x = 3 or x = 4 · 10) x = 4 or x = 5 · 11) x = -9 or x = -6 · 12) x = -8 or x = -1

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Worksheets › Grade 9 Math (Algebra I) › Solving Quadratics › Solving Quadratics

Grade 9 (ages 14–15)Numbers & mathsFree printable PDF

About this grade 9 worksheet

Free Grade 9 Algebra I math worksheet (Common Core A-REI.B.4): solving quadratics — twelve practice problems, with answer key. Skill: Solve quadratic equations by factoring, completing the square or the quadratic formula. Level: Grade 9 — also suits Year 10 (UK).

For teachers: skills & standards

CCSS A-REI.B.4: Solve quadratic equations by factoring, completing the square or the quadratic formula
Works as a morning-work page, a centre/station activity, homework or an early-finisher task.

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What age is it for?

It is designed for Grade 9 (ages 14–15), but use it with any child who is ready.

What skills does it build?

Solve quadratic equations by factoring, completing the square or the quadratic formula.

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More “Solving Quadratics” printables (a-rei.b.4: solve quadratic equations by factoring, completing the square or the quadratic formula)

Solving Quadratics: Practice B (A-REI.B.4) · Solving Quadratics: Mixed Practice & Reasoning (A-REI.B.4) · Solving Quadratics: Show Your Thinking (A-REI.B.4) · Solving Quadratics: Quick Check (A-REI.B.4)

All 5 solving quadratics sheets → · Grade 9 Math (Algebra I): all 10 skills → · All Common Core grades

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