8th Grade Factoring Expressions (Common Factors) Worksheet — Level 1 — Practice Set 2 — 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 2 — Answers
Find the highest common factor of the terms and write it outside the parentheses.
1.Factor fully: 5x + 25
Answer: 5(x + 5)
- Highest common factor: 5
- 5x + 25 = 5(x + 5)
- Check by expanding the parentheses.
2.Factor fully: 8x + 32
Answer: 8(x + 4)
- Highest common factor: 8
- 8x + 32 = 8(x + 4)
- Check by expanding the parentheses.
3.Factor fully: 15x − 18
Answer: 3(5x − 6)
- Highest common factor: 3
- 15x − 18 = 3(5x − 6)
- Check by expanding the parentheses.
4.Factor fully: 20x − 32
Answer: 4(5x − 8)
- Highest common factor: 4
- 20x − 32 = 4(5x − 8)
- Check by expanding the parentheses.
5.Factor fully: 8x + 4
Answer: 4(2x + 1)
- Highest common factor: 4
- 8x + 4 = 4(2x + 1)
- Check by expanding the parentheses.
6.Factor fully: 12x − 15
Answer: 3(4x − 5)
- Highest common factor: 3
- 12x − 15 = 3(4x − 5)
- Check by expanding the parentheses.
7.Factor fully: 5x − 35
Answer: 5(x − 7)
- Highest common factor: 5
- 5x − 35 = 5(x − 7)
- Check by expanding the parentheses.
8.Factor fully: 18x + 45
Answer: 9(2x + 5)
- Highest common factor: 9
- 18x + 45 = 9(2x + 5)
- Check by expanding the parentheses.
9.Factor fully: 10x − 45
Answer: 5(2x − 9)
- Highest common factor: 5
- 10x − 45 = 5(2x − 9)
- Check by expanding the parentheses.
10.Factor fully: 35x − 7
Answer: 7(5x − 1)
- Highest common factor: 7
- 35x − 7 = 7(5x − 1)
- Check by expanding the parentheses.
11.Factor fully: 20x − 12
Answer: 4(5x − 3)
- Highest common factor: 4
- 20x − 12 = 4(5x − 3)
- Check by expanding the parentheses.
12.Factor fully: 2x − 14
Answer: 2(x − 7)
- Highest common factor: 2
- 2x − 14 = 2(x − 7)
- 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.