Year 9 Expanding Brackets Worksheet — Level 2 — Practice Set 3 — 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 — Practice Set 3 — Answers
Multiply every term inside the bracket. Then collect like terms.
1.Expand and simplify: (x − 9)(x − 3)
Answer: x2 − 12x + 27
- x × x = x2
- x × −3 + −9 × x = −12x
- −9 × −3 = 27
2.Expand and simplify: (x + 8)(x − 2)
Answer: x2 + 6x − 16
- x × x = x2
- x × −2 + 8 × x = 6x
- 8 × −2 = −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 + 9)(x − 6)
Answer: x2 + 3x − 54
- x × x = x2
- x × −6 + 9 × x = 3x
- 9 × −6 = −54
5.Expand and simplify: (x − 8)(x − 1)
Answer: x2 − 9x + 8
- x × x = x2
- x × −1 + −8 × x = −9x
- −8 × −1 = 8
6.Expand and simplify: (x − 8)(x + 9)
Answer: x2 + x − 72
- x × x = x2
- x × 9 + −8 × x = x
- −8 × 9 = −72
7.Expand and simplify: (x + 3)(x + 5)
Answer: x2 + 8x + 15
- x × x = x2
- x × 5 + 3 × x = 8x
- 3 × 5 = 15
8.Expand and simplify: (x − 5)(x + 7)
Answer: x2 + 2x − 35
- x × x = x2
- x × 7 + −5 × x = 2x
- −5 × 7 = −35
9.Expand and simplify: (x − 1)(x − 7)
Answer: x2 − 8x + 7
- x × x = x2
- x × −7 + −1 × x = −8x
- −1 × −7 = 7
10.Expand and simplify: (x + 6)(x + 9)
Answer: x2 + 15x + 54
- x × x = x2
- x × 9 + 6 × x = 15x
- 6 × 9 = 54
11.Expand and simplify: (x − 8)(x + 4)
Answer: x2 − 4x − 32
- x × x = x2
- x × 4 + −8 × x = −4x
- −8 × 4 = −32
12.Expand and simplify: (x − 5)(x − 7)
Answer: x2 − 12x + 35
- x × x = x2
- x × −7 + −5 × x = −12x
- −5 × −7 = 35
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