$Factoring quadratics: warm-up: math worksheet for Grade 9, page 1 preview$

Math worksheet · Mathematics

Factoring quadratics: warm-up · Grade 9

Factor quadratic expressions. 20 problems at a warm-up level for Grade 9, with an answer key for grown-ups.

Grade 9 · ages 14 to 15
Easy
30 to 40 minutes
2 pages
Free

The answer key is a separate page for grown-ups. Sign in to download it.

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The 20 problems on the sheet

Directions: Factor completely.

1. x² + 10x + 9 =
2. x² + 15x + 54 =
3. x² + 12x + 27 =
4. x² + 17x + 72 =
5. x² + 6x + 5 =
6. x² + 13x + 36 =
7. x² + 9x + 14 =
8. x² + 5x + 6 =
9. x² + 7x + 6 =
10. x² + 15x + 56 =
11. x² + 10x + 21 =
12. x² + 12x + 35 =
13. x² + 4x + 3 =
14. x² + 13x + 40 =
15. x² + 12x + 32 =
16. x² + 18x + 81 =
17. x² + 11x + 24 =
18. x² + 14x + 48 =
19. x² + 8x + 15 =
20. x² + 8x + 16 =

What your child practices

Your child practices the math skill “Equivalent expressions”: recognize equivalent linear expressions using the distributive property, combining like terms and factoring, including negative numbers.

Grades and ages: Grade 9, ages 14 to 15
Time: About 30 to 40 minutes
Subject: Mathematics
Level: Easy for Grade 9
Answer key: Yes, for grown-ups who sign in
Printing: 2 pages, US Letter or A4, low-ink option
Updated: October 15, 2026

How to use it

Try the first question together so the format is clear. Then let your child work through the rest, showing their thinking on the page. It is one of the easier sheets for Grade 9, good as a warm-up or a first look at the skill. Its 2 pages split well across two sittings.

An answer key comes with it as a separate page that grown-ups download after signing in.

Tip for grown-ups: Check the first three problems together before your child carries on alone; most mix-ups show early.

Done on paper? A grown-up can record it on the child's page in PlayOwl; downloading alone doesn't count as finished.