Year 8 Expanding Brackets Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the Year 8 algebraic expressions worksheet.
Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Algebraic ExpressionsYear 8 Expanding Brackets Worksheet — Level 2 — Answers
Multiply every term inside the bracket. Then collect like terms.
1.Expand and simplify: (x − 1)(x − 9)
Answer: x2 − 10x + 9
- x × x = x2
- x × −9 + −1 × x = −10x
- −1 × −9 = 9
2.Expand and simplify: (x − 3)(x − 7)
Answer: x2 − 10x + 21
- x × x = x2
- x × −7 + −3 × x = −10x
- −3 × −7 = 21
3.Expand and simplify: (x − 2)(x + 7)
Answer: x2 + 5x − 14
- x × x = x2
- x × 7 + −2 × x = 5x
- −2 × 7 = −14
4.Expand and simplify: (x + 4)(x + 2)
Answer: x2 + 6x + 8
- x × x = x2
- x × 2 + 4 × x = 6x
- 4 × 2 = 8
5.Expand and simplify: (x + 7)(x + 8)
Answer: x2 + 15x + 56
- x × x = x2
- x × 8 + 7 × x = 15x
- 7 × 8 = 56
6.Expand and simplify: (x − 5)(x − 1)
Answer: x2 − 6x + 5
- x × x = x2
- x × −1 + −5 × x = −6x
- −5 × −1 = 5
7.Expand and simplify: (x + 1)(x + 3)
Answer: x2 + 4x + 3
- x × x = x2
- x × 3 + 1 × x = 4x
- 1 × 3 = 3
8.Expand and simplify: (x − 2)(x − 8)
Answer: x2 − 10x + 16
- x × x = x2
- x × −8 + −2 × x = −10x
- −2 × −8 = 16
9.Expand and simplify: (x − 6)(x + 5)
Answer: x2 − x − 30
- x × x = x2
- x × 5 + −6 × x = −x
- −6 × 5 = −30
10.Expand and simplify: (x − 8)(x − 4)
Answer: x2 − 12x + 32
- x × x = x2
- x × −4 + −8 × x = −12x
- −8 × −4 = 32
11.Expand and simplify: (x − 7)(x + 6)
Answer: x2 − x − 42
- x × x = x2
- x × 6 + −7 × x = −x
- −7 × 6 = −42
12.Expand and simplify: (x + 2)(x − 3)
Answer: x2 − x − 6
- x × x = x2
- x × −3 + 2 × x = −x
- 2 × −3 = −6
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