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 − 8)(x + 5)
Answer: x2 − 3x − 40
- x × x = x2
- x × 5 + −8 × x = −3x
- −8 × 5 = −40
2.Expand and simplify: (x + 2)(x − 2)
Answer: x2 − 4
- x × x = x2
- x × −2 + 2 × x = 0
- 2 × −2 = −4
3.Expand and simplify: (x − 7)(x − 9)
Answer: x2 − 16x + 63
- x × x = x2
- x × −9 + −7 × x = −16x
- −7 × −9 = 63
4.Expand and simplify: (x + 4)(x + 7)
Answer: x2 + 11x + 28
- x × x = x2
- x × 7 + 4 × x = 11x
- 4 × 7 = 28
5.Expand and simplify: (x − 4)(x + 5)
Answer: x2 + x − 20
- x × x = x2
- x × 5 + −4 × x = x
- −4 × 5 = −20
6.Expand and simplify: (x + 9)(x + 4)
Answer: x2 + 13x + 36
- x × x = x2
- x × 4 + 9 × x = 13x
- 9 × 4 = 36
7.Expand and simplify: (x − 4)(x − 7)
Answer: x2 − 11x + 28
- x × x = x2
- x × −7 + −4 × x = −11x
- −4 × −7 = 28
8.Expand and simplify: (x + 9)(x + 9)
Answer: x2 + 18x + 81
- x × x = x2
- x × 9 + 9 × x = 18x
- 9 × 9 = 81
9.Expand and simplify: (x − 7)(x − 2)
Answer: x2 − 9x + 14
- x × x = x2
- x × −2 + −7 × x = −9x
- −7 × −2 = 14
10.Expand and simplify: (x + 3)(x − 1)
Answer: x2 + 2x − 3
- x × x = x2
- x × −1 + 3 × x = 2x
- 3 × −1 = −3
11.Expand and simplify: (x − 3)(x − 6)
Answer: x2 − 9x + 18
- x × x = x2
- x × −6 + −3 × x = −9x
- −3 × −6 = 18
12.Expand and simplify: (x − 1)(x − 2)
Answer: x2 − 3x + 2
- x × x = x2
- x × −2 + −1 × x = −3x
- −1 × −2 = 2
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