7th Grade Expanding Expressions (Distributive Property) Worksheet — Level 1 — Practice Set 4 — Answers
Answer sheet with worked solutions for the 7th Grade algebraic expressions worksheet.
Success TutoringWorksheetsAnswer sheet7th Grade · Mathematics · Algebraic Expressions7th Grade Expanding Expressions (Distributive Property) Worksheet — Level 1 — Practice Set 4 — Answers
Multiply every term inside the parentheses. Then collect like terms.
1.Expand: −1(3x + 8)
Answer: −3x − 8
- −1 × 3x = −3x
- −1 × 8 = −8
2.Expand: −5(x − 7)
Answer: −5x + 35
- −5 × x = −5x
- −5 × −7 = 35
3.Expand: 6(2x + 2)
Answer: 12x + 12
- 6 × 2x = 12x
- 6 × 2 = 12
4.Expand: −1(3x − 4)
Answer: −3x + 4
- −1 × 3x = −3x
- −1 × −4 = 4
5.Expand: 7(3x − 6)
Answer: 21x − 42
- 7 × 3x = 21x
- 7 × −6 = −42
6.Expand: −4(6x + 7)
Answer: −24x − 28
- −4 × 6x = −24x
- −4 × 7 = −28
7.Expand: 4(5x + 4)
Answer: 20x + 16
- 4 × 5x = 20x
- 4 × 4 = 16
8.Expand: 3(4x + 3)
Answer: 12x + 9
- 3 × 4x = 12x
- 3 × 3 = 9
9.Expand: −4(3x + 1)
Answer: −12x − 4
- −4 × 3x = −12x
- −4 × 1 = −4
10.Expand: −2(x + 6)
Answer: −2x − 12
- −2 × x = −2x
- −2 × 6 = −12
11.Expand: −5(4x − 6)
Answer: −20x + 30
- −5 × 4x = −20x
- −5 × −6 = 30
12.Expand: −3(6x + 5)
Answer: −18x − 15
- −3 × 6x = −18x
- −3 × 5 = −15
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.