Year 9 Expanding Brackets Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the Year 9 algebraic expressions worksheet.
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Algebraic ExpressionsYear 9 Expanding Brackets Worksheet — Level 2 — Answers
Multiply every term inside the bracket. Then collect like terms.
1.Expand and simplify: (x + 3)(x − 6)
Answer: x2 − 3x − 18
- x × x = x2
- x × −6 + 3 × x = −3x
- 3 × −6 = −18
2.Expand and simplify: (x − 1)(x − 5)
Answer: x2 − 6x + 5
- x × x = x2
- x × −5 + −1 × x = −6x
- −1 × −5 = 5
3.Expand and simplify: (x + 7)(x − 3)
Answer: x2 + 4x − 21
- x × x = x2
- x × −3 + 7 × x = 4x
- 7 × −3 = −21
4.Expand and simplify: (x − 6)(x + 1)
Answer: x2 − 5x − 6
- x × x = x2
- x × 1 + −6 × x = −5x
- −6 × 1 = −6
5.Expand and simplify: (x + 7)(x + 6)
Answer: x2 + 13x + 42
- x × x = x2
- x × 6 + 7 × x = 13x
- 7 × 6 = 42
6.Expand and simplify: (x + 2)(x + 5)
Answer: x2 + 7x + 10
- x × x = x2
- x × 5 + 2 × x = 7x
- 2 × 5 = 10
7.Expand and simplify: (x − 3)(x + 9)
Answer: x2 + 6x − 27
- x × x = x2
- x × 9 + −3 × x = 6x
- −3 × 9 = −27
8.Expand and simplify: (x + 4)(x − 9)
Answer: x2 − 5x − 36
- x × x = x2
- x × −9 + 4 × x = −5x
- 4 × −9 = −36
9.Expand and simplify: (x + 1)(x + 6)
Answer: x2 + 7x + 6
- x × x = x2
- x × 6 + 1 × x = 7x
- 1 × 6 = 6
10.Expand and simplify: (x + 2)(x + 8)
Answer: x2 + 10x + 16
- x × x = x2
- x × 8 + 2 × x = 10x
- 2 × 8 = 16
11.Expand and simplify: (x − 5)(x − 1)
Answer: x2 − 6x + 5
- x × x = x2
- x × −1 + −5 × x = −6x
- −5 × −1 = 5
12.Expand and simplify: (x + 1)(x + 7)
Answer: x2 + 8x + 7
- x × x = x2
- x × 7 + 1 × x = 8x
- 1 × 7 = 7
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