Year 9 Expanding Brackets Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the Year 9 algebraic expressions worksheet.
Year 9 · Mathematics · Algebraic Expressions
Year 9 Expanding Brackets Worksheet — Level 2 — Answers
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Multiply every term inside the bracket. Then collect like terms.
1.Expand and simplify: (x − 6)(x + 3)
Answer: x2 − 3x − 18
- x × x = x2
- x × 3 + −6 × x = −3x
- −6 × 3 = −18
2.Expand and simplify: (x + 5)(x + 9)
Answer: x2 + 14x + 45
- x × x = x2
- x × 9 + 5 × x = 14x
- 5 × 9 = 45
3.Expand and simplify: (x + 1)(x + 1)
Answer: x2 + 2x + 1
- x × x = x2
- x × 1 + 1 × x = 2x
- 1 × 1 = 1
4.Expand and simplify: (x + 7)(x + 7)
Answer: x2 + 14x + 49
- x × x = x2
- x × 7 + 7 × x = 14x
- 7 × 7 = 49
5.Expand and simplify: (x − 9)(x − 9)
Answer: x2 − 18x + 81
- x × x = x2
- x × −9 + −9 × x = −18x
- −9 × −9 = 81
6.Expand and simplify: (x − 3)(x + 4)
Answer: x2 + x − 12
- x × x = x2
- x × 4 + −3 × x = x
- −3 × 4 = −12
7.Expand and simplify: (x − 4)(x + 8)
Answer: x2 + 4x − 32
- x × x = x2
- x × 8 + −4 × x = 4x
- −4 × 8 = −32
8.Expand and simplify: (x + 8)(x − 7)
Answer: x2 + x − 56
- x × x = x2
- x × −7 + 8 × x = x
- 8 × −7 = −56
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 − 2)
Answer: x2 − 4
- x × x = x2
- x × −2 + 2 × x = 0
- 2 × −2 = −4
11.Expand and simplify: (x + 8)(x + 2)
Answer: x2 + 10x + 16
- x × x = x2
- x × 2 + 8 × x = 10x
- 8 × 2 = 16
12.Expand and simplify: (x − 6)(x + 7)
Answer: x2 + x − 42
- x × x = x2
- x × 7 + −6 × x = x
- −6 × 7 = −42
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