Year 9 Expanding Brackets Worksheet — Level 2 — Practice Set 4 — 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 4 — Answers
Multiply every term inside the bracket. Then collect like terms.
1.Expand and simplify: (x + 4)(x + 8)
Answer: x2 + 12x + 32
- x × x = x2
- x × 8 + 4 × x = 12x
- 4 × 8 = 32
2.Expand and simplify: (x − 6)(x + 4)
Answer: x2 − 2x − 24
- x × x = x2
- x × 4 + −6 × x = −2x
- −6 × 4 = −24
3.Expand and simplify: (x + 3)(x − 6)
Answer: x2 − 3x − 18
- x × x = x2
- x × −6 + 3 × x = −3x
- 3 × −6 = −18
4.Expand and simplify: (x − 4)(x + 9)
Answer: x2 + 5x − 36
- x × x = x2
- x × 9 + −4 × x = 5x
- −4 × 9 = −36
5.Expand and simplify: (x − 9)(x + 4)
Answer: x2 − 5x − 36
- x × x = x2
- x × 4 + −9 × x = −5x
- −9 × 4 = −36
6.Expand and simplify: (x + 5)(x − 6)
Answer: x2 − x − 30
- x × x = x2
- x × −6 + 5 × x = −x
- 5 × −6 = −30
7.Expand and simplify: (x − 3)(x + 4)
Answer: x2 + x − 12
- x × x = x2
- x × 4 + −3 × x = x
- −3 × 4 = −12
8.Expand and simplify: (x − 4)(x + 4)
Answer: x2 − 16
- x × x = x2
- x × 4 + −4 × x = 0
- −4 × 4 = −16
9.Expand and simplify: (x − 5)(x + 3)
Answer: x2 − 2x − 15
- x × x = x2
- x × 3 + −5 × x = −2x
- −5 × 3 = −15
10.Expand and simplify: (x + 1)(x − 6)
Answer: x2 − 5x − 6
- x × x = x2
- x × −6 + 1 × x = −5x
- 1 × −6 = −6
11.Expand and simplify: (x − 6)(x − 1)
Answer: x2 − 7x + 6
- x × x = x2
- x × −1 + −6 × x = −7x
- −6 × −1 = 6
12.Expand and simplify: (x − 8)(x − 3)
Answer: x2 − 11x + 24
- x × x = x2
- x × −3 + −8 × x = −11x
- −8 × −3 = 24
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