Year 11 Expanding Brackets Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 11 algebraic expressions worksheet.
Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Algebraic ExpressionsYear 11 Expanding Brackets Worksheet — Level 1 — Practice Set 3 — Answers
Multiply every term inside the bracket. Then collect like terms.
1.Expand: 5(x + 7)
Answer: 5x + 35
- 5 × x = 5x
- 5 × 7 = 35
2.Expand: 1(4x + 7)
Answer: 4x + 7
- 1 × 4x = 4x
- 1 × 7 = 7
3.Expand: 6(x − 2)
Answer: 6x − 12
- 6 × x = 6x
- 6 × −2 = −12
4.Expand: −4(3x + 6)
Answer: −12x − 24
- −4 × 3x = −12x
- −4 × 6 = −24
5.Expand: −4(3x − 1)
Answer: −12x + 4
- −4 × 3x = −12x
- −4 × −1 = 4
6.Expand: −1(5x − 1)
Answer: −5x + 1
- −1 × 5x = −5x
- −1 × −1 = 1
7.Expand: 6(3x − 9)
Answer: 18x − 54
- 6 × 3x = 18x
- 6 × −9 = −54
8.Expand: −4(5x + 2)
Answer: −20x − 8
- −4 × 5x = −20x
- −4 × 2 = −8
9.Expand: 6(2x − 4)
Answer: 12x − 24
- 6 × 2x = 12x
- 6 × −4 = −24
10.Expand: 4(2x + 8)
Answer: 8x + 32
- 4 × 2x = 8x
- 4 × 8 = 32
11.Expand: 5(2x − 5)
Answer: 10x − 25
- 5 × 2x = 10x
- 5 × −5 = −25
12.Expand: 2(4x − 2)
Answer: 8x − 4
- 2 × 4x = 8x
- 2 × −2 = −4
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