Year 10 Expanding Brackets Worksheet — Level 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 — Answers
Multiply every term inside the bracket. Then collect like terms.
1.Expand and simplify: (x − 1)(x − 3)
Answer: x2 − 4x + 3
- x × x = x2
- x × −3 + −1 × x = −4x
- −1 × −3 = 3
2.Expand and simplify: (x − 2)(x + 9)
Answer: x2 + 7x − 18
- x × x = x2
- x × 9 + −2 × x = 7x
- −2 × 9 = −18
3.Expand and simplify: (x − 1)(x + 3)
Answer: x2 + 2x − 3
- x × x = x2
- x × 3 + −1 × x = 2x
- −1 × 3 = −3
4.Expand and simplify: (x + 7)(x − 7)
Answer: x2 − 49
- x × x = x2
- x × −7 + 7 × x = 0
- 7 × −7 = −49
5.Expand and simplify: (x + 4)(x − 3)
Answer: x2 + x − 12
- x × x = x2
- x × −3 + 4 × x = x
- 4 × −3 = −12
6.Expand and simplify: (x − 6)(x − 2)
Answer: x2 − 8x + 12
- x × x = x2
- x × −2 + −6 × x = −8x
- −6 × −2 = 12
7.Expand and simplify: (x − 2)(x − 2)
Answer: x2 − 4x + 4
- x × x = x2
- x × −2 + −2 × x = −4x
- −2 × −2 = 4
8.Expand and simplify: (x + 7)(x + 2)
Answer: x2 + 9x + 14
- x × x = x2
- x × 2 + 7 × x = 9x
- 7 × 2 = 14
9.Expand and simplify: (x − 7)(x + 9)
Answer: x2 + 2x − 63
- x × x = x2
- x × 9 + −7 × x = 2x
- −7 × 9 = −63
10.Expand and simplify: (x − 2)(x − 3)
Answer: x2 − 5x + 6
- x × x = x2
- x × −3 + −2 × x = −5x
- −2 × −3 = 6
11.Expand and simplify: (x − 1)(x − 9)
Answer: x2 − 10x + 9
- x × x = x2
- x × −9 + −1 × x = −10x
- −1 × −9 = 9
12.Expand and simplify: (x + 7)(x + 9)
Answer: x2 + 16x + 63
- x × x = x2
- x × 9 + 7 × x = 16x
- 7 × 9 = 63
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