9th Grade Factoring Expressions (Common Factors) Worksheet — Level 1 — Practice Set 3 — 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 3 — Answers
Find the highest common factor of the terms and write it outside the parentheses.
1.Factor fully: 10x − 5
Answer: 5(2x − 1)
- Highest common factor: 5
- 10x − 5 = 5(2x − 1)
- Check by expanding the parentheses.
2.Factor fully: 10x − 45
Answer: 5(2x − 9)
- Highest common factor: 5
- 10x − 45 = 5(2x − 9)
- Check by expanding the parentheses.
3.Factor fully: 18x − 42
Answer: 6(3x − 7)
- Highest common factor: 6
- 18x − 42 = 6(3x − 7)
- Check by expanding the parentheses.
4.Factor fully: 15x − 9
Answer: 3(5x − 3)
- Highest common factor: 3
- 15x − 9 = 3(5x − 3)
- Check by expanding the parentheses.
5.Factor fully: 12x − 20
Answer: 4(3x − 5)
- Highest common factor: 4
- 12x − 20 = 4(3x − 5)
- Check by expanding the parentheses.
6.Factor fully: 12x − 27
Answer: 3(4x − 9)
- Highest common factor: 3
- 12x − 27 = 3(4x − 9)
- Check by expanding the parentheses.
7.Factor fully: 45x + 54
Answer: 9(5x + 6)
- Highest common factor: 9
- 45x + 54 = 9(5x + 6)
- Check by expanding the parentheses.
8.Factor fully: 20x − 12
Answer: 4(5x − 3)
- Highest common factor: 4
- 20x − 12 = 4(5x − 3)
- Check by expanding the parentheses.
9.Factor fully: 18x − 6
Answer: 6(3x − 1)
- Highest common factor: 6
- 18x − 6 = 6(3x − 1)
- Check by expanding the parentheses.
10.Factor fully: 21x + 49
Answer: 7(3x + 7)
- Highest common factor: 7
- 21x + 49 = 7(3x + 7)
- Check by expanding the parentheses.
11.Factor fully: 10x − 2
Answer: 2(5x − 1)
- Highest common factor: 2
- 10x − 2 = 2(5x − 1)
- Check by expanding the parentheses.
12.Factor fully: 18x + 3
Answer: 3(6x + 1)
- Highest common factor: 3
- 18x + 3 = 3(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.
- Celebrate what went well first, then pick one thing to work on next.