9th Grade Factoring Expressions (Common Factors) Worksheet — Level 1 — Practice Set 2 — 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 — Practice Set 2 — Answers
Find the highest common factor of the terms and write it outside the parentheses.
1.Factor fully: 24x + 4
Answer: 4(6x + 1)
- Highest common factor: 4
- 24x + 4 = 4(6x + 1)
- Check by expanding the parentheses.
2.Factor fully: 14x + 35
Answer: 7(2x + 5)
- Highest common factor: 7
- 14x + 35 = 7(2x + 5)
- Check by expanding the parentheses.
3.Factor fully: 3x + 9
Answer: 3(x + 3)
- Highest common factor: 3
- 3x + 9 = 3(x + 3)
- Check by expanding the parentheses.
4.Factor fully: 8x − 48
Answer: 8(x − 6)
- Highest common factor: 8
- 8x − 48 = 8(x − 6)
- Check by expanding the parentheses.
5.Factor fully: 21x − 35
Answer: 7(3x − 5)
- Highest common factor: 7
- 21x − 35 = 7(3x − 5)
- Check by expanding the parentheses.
6.Factor fully: 20x + 16
Answer: 4(5x + 4)
- Highest common factor: 4
- 20x + 16 = 4(5x + 4)
- Check by expanding the parentheses.
7.Factor fully: 9x − 21
Answer: 3(3x − 7)
- Highest common factor: 3
- 9x − 21 = 3(3x − 7)
- Check by expanding the parentheses.
8.Factor fully: 15x − 27
Answer: 3(5x − 9)
- Highest common factor: 3
- 15x − 27 = 3(5x − 9)
- 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: 2x − 8
Answer: 2(x − 4)
- Highest common factor: 2
- 2x − 8 = 2(x − 4)
- Check by expanding the parentheses.
11.Factor fully: 12x − 42
Answer: 6(2x − 7)
- Highest common factor: 6
- 12x − 42 = 6(2x − 7)
- Check by expanding the parentheses.
12.Factor fully: 54x + 9
Answer: 9(6x + 1)
- Highest common factor: 9
- 54x + 9 = 9(6x + 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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