Year 11 Expanding Brackets Worksheet — Level 2 — Practice Set 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 — Practice Set 2 — Answers
Multiply every term inside the bracket. Then collect like terms.
1.Expand and simplify: (x − 9)(x + 4)
Answer: x2 − 5x − 36
- x × x = x2
- x × 4 + −9 × x = −5x
- −9 × 4 = −36
2.Expand and simplify: (x + 9)(x + 5)
Answer: x2 + 14x + 45
- x × x = x2
- x × 5 + 9 × x = 14x
- 9 × 5 = 45
3.Expand and simplify: (x + 5)(x − 9)
Answer: x2 − 4x − 45
- x × x = x2
- x × −9 + 5 × x = −4x
- 5 × −9 = −45
4.Expand and simplify: (x − 9)(x − 6)
Answer: x2 − 15x + 54
- x × x = x2
- x × −6 + −9 × x = −15x
- −9 × −6 = 54
5.Expand and simplify: (x − 8)(x − 9)
Answer: x2 − 17x + 72
- x × x = x2
- x × −9 + −8 × x = −17x
- −8 × −9 = 72
6.Expand and simplify: (x + 1)(x + 3)
Answer: x2 + 4x + 3
- x × x = x2
- x × 3 + 1 × x = 4x
- 1 × 3 = 3
7.Expand and simplify: (x + 3)(x + 7)
Answer: x2 + 10x + 21
- x × x = x2
- x × 7 + 3 × x = 10x
- 3 × 7 = 21
8.Expand and simplify: (x + 8)(x − 9)
Answer: x2 − x − 72
- x × x = x2
- x × −9 + 8 × x = −x
- 8 × −9 = −72
9.Expand and simplify: (x + 8)(x + 4)
Answer: x2 + 12x + 32
- x × x = x2
- x × 4 + 8 × x = 12x
- 8 × 4 = 32
10.Expand and simplify: (x + 5)(x + 5)
Answer: x2 + 10x + 25
- x × x = x2
- x × 5 + 5 × x = 10x
- 5 × 5 = 25
11.Expand and simplify: (x − 4)(x − 6)
Answer: x2 − 10x + 24
- x × x = x2
- x × −6 + −4 × x = −10x
- −4 × −6 = 24
12.Expand and simplify: (x + 3)(x + 1)
Answer: x2 + 4x + 3
- x × x = x2
- x × 1 + 3 × x = 4x
- 3 × 1 = 3
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