Year 11 Expanding Brackets Worksheet — Level 2 — 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 2 — Practice Set 3 — 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 + 4)(x − 4)
Answer: x2 − 16
- x × x = x2
- x × −4 + 4 × x = 0
- 4 × −4 = −16
3.Expand and simplify: (x + 6)(x + 1)
Answer: x2 + 7x + 6
- x × x = x2
- x × 1 + 6 × x = 7x
- 6 × 1 = 6
4.Expand and simplify: (x − 3)(x + 5)
Answer: x2 + 2x − 15
- x × x = x2
- x × 5 + −3 × x = 2x
- −3 × 5 = −15
5.Expand and simplify: (x − 3)(x − 6)
Answer: x2 − 9x + 18
- x × x = x2
- x × −6 + −3 × x = −9x
- −3 × −6 = 18
6.Expand and simplify: (x − 4)(x − 1)
Answer: x2 − 5x + 4
- x × x = x2
- x × −1 + −4 × x = −5x
- −4 × −1 = 4
7.Expand and simplify: (x + 2)(x + 7)
Answer: x2 + 9x + 14
- x × x = x2
- x × 7 + 2 × x = 9x
- 2 × 7 = 14
8.Expand and simplify: (x − 5)(x + 3)
Answer: x2 − 2x − 15
- x × x = x2
- x × 3 + −5 × x = −2x
- −5 × 3 = −15
9.Expand and simplify: (x − 2)(x − 5)
Answer: x2 − 7x + 10
- x × x = x2
- x × −5 + −2 × x = −7x
- −2 × −5 = 10
10.Expand and simplify: (x + 8)(x + 7)
Answer: x2 + 15x + 56
- x × x = x2
- x × 7 + 8 × x = 15x
- 8 × 7 = 56
11.Expand and simplify: (x + 7)(x − 9)
Answer: x2 − 2x − 63
- x × x = x2
- x × −9 + 7 × x = −2x
- 7 × −9 = −63
12.Expand and simplify: (x + 2)(x + 8)
Answer: x2 + 10x + 16
- x × x = x2
- x × 8 + 2 × x = 10x
- 2 × 8 = 16
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