9th Grade Factoring Expressions (Common Factors) Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the 9th Grade algebraic expressions worksheet.
Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Algebraic Expressions9th Grade Factoring Expressions (Common Factors) Worksheet — Level 1 — Answers
Find the highest common factor of the terms and write it outside the parentheses.
1.Factor fully: 20x + 8
Answer: 4(5x + 2)
- Highest common factor: 4
- 20x + 8 = 4(5x + 2)
- Check by expanding the parentheses.
2.Factor fully: 32x − 56
Answer: 8(4x − 7)
- Highest common factor: 8
- 32x − 56 = 8(4x − 7)
- Check by expanding the parentheses.
3.Factor fully: 25x − 45
Answer: 5(5x − 9)
- Highest common factor: 5
- 25x − 45 = 5(5x − 9)
- Check by expanding the parentheses.
4.Factor fully: 2x + 2
Answer: 2(x + 1)
- Highest common factor: 2
- 2x + 2 = 2(x + 1)
- Check by expanding the parentheses.
5.Factor fully: 5x + 35
Answer: 5(x + 7)
- Highest common factor: 5
- 5x + 35 = 5(x + 7)
- Check by expanding the parentheses.
6.Factor fully: 16x + 28
Answer: 4(4x + 7)
- Highest common factor: 4
- 16x + 28 = 4(4x + 7)
- Check by expanding the parentheses.
7.Factor fully: 20x − 16
Answer: 4(5x − 4)
- Highest common factor: 4
- 20x − 16 = 4(5x − 4)
- Check by expanding the parentheses.
8.Factor fully: 15x − 6
Answer: 3(5x − 2)
- Highest common factor: 3
- 15x − 6 = 3(5x − 2)
- Check by expanding the parentheses.
9.Factor fully: 30x + 6
Answer: 6(5x + 1)
- Highest common factor: 6
- 30x + 6 = 6(5x + 1)
- Check by expanding the parentheses.
10.Factor fully: 32x + 40
Answer: 8(4x + 5)
- Highest common factor: 8
- 32x + 40 = 8(4x + 5)
- Check by expanding the parentheses.
11.Factor fully: 14x − 63
Answer: 7(2x − 9)
- Highest common factor: 7
- 14x − 63 = 7(2x − 9)
- Check by expanding the parentheses.
12.Factor fully: 7x − 7
Answer: 7(x − 1)
- Highest common factor: 7
- 7x − 7 = 7(x − 1)
- Check by expanding the parentheses.
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
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