Year 10 Expanding Brackets Worksheet — Level 2 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 10 algebraic expressions worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Algebraic ExpressionsYear 10 Expanding Brackets Worksheet — Level 2 — Practice Set 2 — Answers
Multiply every term inside the bracket. Then collect like terms.
1.Expand and simplify: (x − 5)(x + 4)
Answer: x2 − x − 20
- x × x = x2
- x × 4 + −5 × x = −x
- −5 × 4 = −20
2.Expand and simplify: (x + 5)(x − 2)
Answer: x2 + 3x − 10
- x × x = x2
- x × −2 + 5 × x = 3x
- 5 × −2 = −10
3.Expand and simplify: (x + 9)(x + 7)
Answer: x2 + 16x + 63
- x × x = x2
- x × 7 + 9 × x = 16x
- 9 × 7 = 63
4.Expand and simplify: (x − 1)(x − 1)
Answer: x2 − 2x + 1
- x × x = x2
- x × −1 + −1 × x = −2x
- −1 × −1 = 1
5.Expand and simplify: (x + 7)(x + 1)
Answer: x2 + 8x + 7
- x × x = x2
- x × 1 + 7 × x = 8x
- 7 × 1 = 7
6.Expand and simplify: (x + 2)(x + 8)
Answer: x2 + 10x + 16
- x × x = x2
- x × 8 + 2 × x = 10x
- 2 × 8 = 16
7.Expand and simplify: (x − 5)(x − 3)
Answer: x2 − 8x + 15
- x × x = x2
- x × −3 + −5 × x = −8x
- −5 × −3 = 15
8.Expand and simplify: (x + 2)(x + 7)
Answer: x2 + 9x + 14
- x × x = x2
- x × 7 + 2 × x = 9x
- 2 × 7 = 14
9.Expand and simplify: (x − 3)(x − 3)
Answer: x2 − 6x + 9
- x × x = x2
- x × −3 + −3 × x = −6x
- −3 × −3 = 9
10.Expand and simplify: (x − 4)(x + 5)
Answer: x2 + x − 20
- x × x = x2
- x × 5 + −4 × x = x
- −4 × 5 = −20
11.Expand and simplify: (x − 9)(x + 8)
Answer: x2 − x − 72
- x × x = x2
- x × 8 + −9 × x = −x
- −9 × 8 = −72
12.Expand and simplify: (x − 5)(x − 1)
Answer: x2 − 6x + 5
- x × x = x2
- x × −1 + −5 × x = −6x
- −5 × −1 = 5
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