Year 11 Expanding Brackets Worksheet — Level 2 — 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 — Answers
Multiply every term inside the bracket. Then collect like terms.
1.Expand and simplify: (x − 6)(x + 2)
Answer: x2 − 4x − 12
- x × x = x2
- x × 2 + −6 × x = −4x
- −6 × 2 = −12
2.Expand and simplify: (x − 2)(x + 1)
Answer: x2 − x − 2
- x × x = x2
- x × 1 + −2 × x = −x
- −2 × 1 = −2
3.Expand and simplify: (x + 3)(x − 5)
Answer: x2 − 2x − 15
- x × x = x2
- x × −5 + 3 × x = −2x
- 3 × −5 = −15
4.Expand and simplify: (x + 4)(x + 6)
Answer: x2 + 10x + 24
- x × x = x2
- x × 6 + 4 × x = 10x
- 4 × 6 = 24
5.Expand and simplify: (x + 7)(x − 4)
Answer: x2 + 3x − 28
- x × x = x2
- x × −4 + 7 × x = 3x
- 7 × −4 = −28
6.Expand and simplify: (x − 3)(x − 9)
Answer: x2 − 12x + 27
- x × x = x2
- x × −9 + −3 × x = −12x
- −3 × −9 = 27
7.Expand and simplify: (x + 9)(x − 7)
Answer: x2 + 2x − 63
- x × x = x2
- x × −7 + 9 × x = 2x
- 9 × −7 = −63
8.Expand and simplify: (x + 1)(x + 8)
Answer: x2 + 9x + 8
- x × x = x2
- x × 8 + 1 × x = 9x
- 1 × 8 = 8
9.Expand and simplify: (x − 8)(x − 2)
Answer: x2 − 10x + 16
- x × x = x2
- x × −2 + −8 × x = −10x
- −8 × −2 = 16
10.Expand and simplify: (x + 9)(x + 3)
Answer: x2 + 12x + 27
- x × x = x2
- x × 3 + 9 × x = 12x
- 9 × 3 = 27
11.Expand and simplify: (x − 2)(x + 7)
Answer: x2 + 5x − 14
- x × x = x2
- x × 7 + −2 × x = 5x
- −2 × 7 = −14
12.Expand and simplify: (x − 3)(x + 6)
Answer: x2 + 3x − 18
- x × x = x2
- x × 6 + −3 × x = 3x
- −3 × 6 = −18
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