9th Grade Factoring Expressions (Common Factors) Worksheet — Level 1 — Practice Set 4 — 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 4 — Answers
Find the highest common factor of the terms and write it outside the parentheses.
1.Factor fully: 6x + 24
Answer: 6(x + 4)
- Highest common factor: 6
- 6x + 24 = 6(x + 4)
- Check by expanding the parentheses.
2.Factor fully: 12x − 20
Answer: 4(3x − 5)
- Highest common factor: 4
- 12x − 20 = 4(3x − 5)
- Check by expanding the parentheses.
3.Factor fully: 8x + 40
Answer: 8(x + 5)
- Highest common factor: 8
- 8x + 40 = 8(x + 5)
- Check by expanding the parentheses.
4.Factor fully: 10x + 8
Answer: 2(5x + 4)
- Highest common factor: 2
- 10x + 8 = 2(5x + 4)
- Check by expanding the parentheses.
5.Factor fully: 14x + 35
Answer: 7(2x + 5)
- Highest common factor: 7
- 14x + 35 = 7(2x + 5)
- Check by expanding the parentheses.
6.Factor fully: 36x + 30
Answer: 6(6x + 5)
- Highest common factor: 6
- 36x + 30 = 6(6x + 5)
- Check by expanding the parentheses.
7.Factor fully: 5x + 45
Answer: 5(x + 9)
- Highest common factor: 5
- 5x + 45 = 5(x + 9)
- Check by expanding the parentheses.
8.Factor fully: 2x + 4
Answer: 2(x + 2)
- Highest common factor: 2
- 2x + 4 = 2(x + 2)
- Check by expanding the parentheses.
9.Factor fully: 9x + 12
Answer: 3(3x + 4)
- Highest common factor: 3
- 9x + 12 = 3(3x + 4)
- Check by expanding the parentheses.
10.Factor fully: 28x − 21
Answer: 7(4x − 3)
- Highest common factor: 7
- 28x − 21 = 7(4x − 3)
- Check by expanding the parentheses.
11.Factor fully: 54x − 63
Answer: 9(6x − 7)
- Highest common factor: 9
- 54x − 63 = 9(6x − 7)
- Check by expanding the parentheses.
12.Factor fully: 28x + 35
Answer: 7(4x + 5)
- Highest common factor: 7
- 28x + 35 = 7(4x + 5)
- 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.