10th Grade Expanding Expressions (Distributive Property) Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the 10th Grade algebraic expressions worksheet.
10th Grade Expanding Expressions (Distributive Property) Worksheet — Level 1 — Answers
Multiply every term inside the parentheses. Then collect like terms.
1.Expand: −5(3x + 8)
Answer: −15x − 40
- −5 × 3x = −15x
- −5 × 8 = −40
2.Expand: 3(5x + 4)
Answer: 15x + 12
- 3 × 5x = 15x
- 3 × 4 = 12
3.Expand: 1(4x − 5)
Answer: 4x − 5
- 1 × 4x = 4x
- 1 × −5 = −5
4.Expand: 1(4x + 5)
Answer: 4x + 5
- 1 × 4x = 4x
- 1 × 5 = 5
5.Expand: 2(4x − 9)
Answer: 8x − 18
- 2 × 4x = 8x
- 2 × −9 = −18
6.Expand: 4(2x + 9)
Answer: 8x + 36
- 4 × 2x = 8x
- 4 × 9 = 36
7.Expand: 6(6x + 2)
Answer: 36x + 12
- 6 × 6x = 36x
- 6 × 2 = 12
8.Expand: −1(4x + 3)
Answer: −4x − 3
- −1 × 4x = −4x
- −1 × 3 = −3
9.Expand: −3(x + 4)
Answer: −3x − 12
- −3 × x = −3x
- −3 × 4 = −12
10.Expand: −3(4x − 3)
Answer: −12x + 9
- −3 × 4x = −12x
- −3 × −3 = 9
11.Expand: 7(6x + 8)
Answer: 42x + 56
- 7 × 6x = 42x
- 7 × 8 = 56
12.Expand: 1(2x − 1)
Answer: 2x − 1
- 1 × 2x = 2x
- 1 × −1 = −1
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