Year 9 Expanding Brackets Worksheet — Level 2 — Practice Set 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 — Practice Set 2 — Answers
Multiply every term inside the bracket. Then collect like terms.
1.Expand and simplify: (x + 1)(x + 4)
Answer: x2 + 5x + 4
- x × x = x2
- x × 4 + 1 × x = 5x
- 1 × 4 = 4
2.Expand and simplify: (x − 3)(x − 4)
Answer: x2 − 7x + 12
- x × x = x2
- x × −4 + −3 × x = −7x
- −3 × −4 = 12
3.Expand and simplify: (x + 6)(x + 7)
Answer: x2 + 13x + 42
- x × x = x2
- x × 7 + 6 × x = 13x
- 6 × 7 = 42
4.Expand and simplify: (x − 4)(x − 9)
Answer: x2 − 13x + 36
- x × x = x2
- x × −9 + −4 × x = −13x
- −4 × −9 = 36
5.Expand and simplify: (x + 9)(x + 7)
Answer: x2 + 16x + 63
- x × x = x2
- x × 7 + 9 × x = 16x
- 9 × 7 = 63
6.Expand and simplify: (x − 2)(x + 8)
Answer: x2 + 6x − 16
- x × x = x2
- x × 8 + −2 × x = 6x
- −2 × 8 = −16
7.Expand and simplify: (x − 5)(x − 4)
Answer: x2 − 9x + 20
- x × x = x2
- x × −4 + −5 × x = −9x
- −5 × −4 = 20
8.Expand and simplify: (x + 5)(x − 5)
Answer: x2 − 25
- x × x = x2
- x × −5 + 5 × x = 0
- 5 × −5 = −25
9.Expand and simplify: (x + 7)(x − 2)
Answer: x2 + 5x − 14
- x × x = x2
- x × −2 + 7 × x = 5x
- 7 × −2 = −14
10.Expand and simplify: (x + 6)(x + 6)
Answer: x2 + 12x + 36
- x × x = x2
- x × 6 + 6 × x = 12x
- 6 × 6 = 36
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 − 7)(x + 8)
Answer: x2 + x − 56
- x × x = x2
- x × 8 + −7 × x = x
- −7 × 8 = −56
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