8th Grade Factoring Expressions (Common Factors) Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 8th Grade algebraic expressions worksheet.
Success TutoringWorksheetsAnswer sheet8th Grade · Mathematics · Algebraic Expressions8th 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: 16x − 20
Answer: 4(4x − 5)
- Highest common factor: 4
- 16x − 20 = 4(4x − 5)
- Check by expanding the parentheses.
2.Factor fully: 36x − 6
Answer: 6(6x − 1)
- Highest common factor: 6
- 36x − 6 = 6(6x − 1)
- Check by expanding the parentheses.
3.Factor fully: 6x − 48
Answer: 6(x − 8)
- Highest common factor: 6
- 6x − 48 = 6(x − 8)
- Check by expanding the parentheses.
4.Factor fully: 10x − 45
Answer: 5(2x − 9)
- Highest common factor: 5
- 10x − 45 = 5(2x − 9)
- Check by expanding the parentheses.
5.Factor fully: 8x − 10
Answer: 2(4x − 5)
- Highest common factor: 2
- 8x − 10 = 2(4x − 5)
- Check by expanding the parentheses.
6.Factor fully: 18x − 6
Answer: 6(3x − 1)
- Highest common factor: 6
- 18x − 6 = 6(3x − 1)
- Check by expanding the parentheses.
7.Factor fully: 15x + 3
Answer: 3(5x + 1)
- Highest common factor: 3
- 15x + 3 = 3(5x + 1)
- Check by expanding the parentheses.
8.Factor fully: 36x − 63
Answer: 9(4x − 7)
- Highest common factor: 9
- 36x − 63 = 9(4x − 7)
- Check by expanding the parentheses.
9.Factor fully: 18x + 48
Answer: 6(3x + 8)
- Highest common factor: 6
- 18x + 48 = 6(3x + 8)
- Check by expanding the parentheses.
10.Factor fully: 30x + 54
Answer: 6(5x + 9)
- Highest common factor: 6
- 30x + 54 = 6(5x + 9)
- Check by expanding the parentheses.
11.Factor fully: 16x + 8
Answer: 8(2x + 1)
- Highest common factor: 8
- 16x + 8 = 8(2x + 1)
- Check by expanding the parentheses.
12.Factor fully: 32x − 8
Answer: 8(4x − 1)
- Highest common factor: 8
- 32x − 8 = 8(4x − 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.