Year 8 Expanding Brackets Worksheet — Level 2 — Practice Set 3 — 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 — Practice Set 3 — Answers
Multiply every term inside the bracket. Then collect like terms.
1.Expand and simplify: (x − 4)(x − 6)
Answer: x2 − 10x + 24
- x × x = x2
- x × −6 + −4 × x = −10x
- −4 × −6 = 24
2.Expand and simplify: (x − 2)(x + 9)
Answer: x2 + 7x − 18
- x × x = x2
- x × 9 + −2 × x = 7x
- −2 × 9 = −18
3.Expand and simplify: (x − 6)(x − 2)
Answer: x2 − 8x + 12
- x × x = x2
- x × −2 + −6 × x = −8x
- −6 × −2 = 12
4.Expand and simplify: (x − 4)(x − 8)
Answer: x2 − 12x + 32
- x × x = x2
- x × −8 + −4 × x = −12x
- −4 × −8 = 32
5.Expand and simplify: (x + 3)(x + 7)
Answer: x2 + 10x + 21
- x × x = x2
- x × 7 + 3 × x = 10x
- 3 × 7 = 21
6.Expand and simplify: (x + 5)(x − 9)
Answer: x2 − 4x − 45
- x × x = x2
- x × −9 + 5 × x = −4x
- 5 × −9 = −45
7.Expand and simplify: (x + 5)(x − 1)
Answer: x2 + 4x − 5
- x × x = x2
- x × −1 + 5 × x = 4x
- 5 × −1 = −5
8.Expand and simplify: (x + 1)(x − 8)
Answer: x2 − 7x − 8
- x × x = x2
- x × −8 + 1 × x = −7x
- 1 × −8 = −8
9.Expand and simplify: (x + 7)(x − 3)
Answer: x2 + 4x − 21
- x × x = x2
- x × −3 + 7 × x = 4x
- 7 × −3 = −21
10.Expand and simplify: (x + 3)(x − 2)
Answer: x2 + x − 6
- x × x = x2
- x × −2 + 3 × x = x
- 3 × −2 = −6
11.Expand and simplify: (x − 9)(x − 7)
Answer: x2 − 16x + 63
- x × x = x2
- x × −7 + −9 × x = −16x
- −9 × −7 = 63
12.Expand and simplify: (x + 9)(x − 6)
Answer: x2 + 3x − 54
- x × x = x2
- x × −6 + 9 × x = 3x
- 9 × −6 = −54
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