Year 8 Expanding Brackets Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the Year 8 algebraic expressions worksheet.
Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Algebraic ExpressionsYear 8 Expanding Brackets Worksheet — Level 2 — Answers
Multiply every term inside the bracket. Then collect like terms.
1.Expand and simplify: (x − 7)(x − 7)
Answer: x2 − 14x + 49
- x × x = x2
- x × −7 + −7 × x = −14x
- −7 × −7 = 49
2.Expand and simplify: (x − 2)(x − 7)
Answer: x2 − 9x + 14
- x × x = x2
- x × −7 + −2 × x = −9x
- −2 × −7 = 14
3.Expand and simplify: (x + 3)(x + 7)
Answer: x2 + 10x + 21
- x × x = x2
- x × 7 + 3 × x = 10x
- 3 × 7 = 21
4.Expand and simplify: (x − 3)(x + 7)
Answer: x2 + 4x − 21
- x × x = x2
- x × 7 + −3 × x = 4x
- −3 × 7 = −21
5.Expand and simplify: (x − 1)(x − 8)
Answer: x2 − 9x + 8
- x × x = x2
- x × −8 + −1 × x = −9x
- −1 × −8 = 8
6.Expand and simplify: (x − 1)(x + 3)
Answer: x2 + 2x − 3
- x × x = x2
- x × 3 + −1 × x = 2x
- −1 × 3 = −3
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 − 3)
Answer: x2 − 10x + 21
- x × x = x2
- x × −3 + −7 × x = −10x
- −7 × −3 = 21
9.Expand and simplify: (x − 3)(x + 1)
Answer: x2 − 2x − 3
- x × x = x2
- x × 1 + −3 × x = −2x
- −3 × 1 = −3
10.Expand and simplify: (x + 1)(x + 7)
Answer: x2 + 8x + 7
- x × x = x2
- x × 7 + 1 × x = 8x
- 1 × 7 = 7
11.Expand and simplify: (x + 6)(x − 9)
Answer: x2 − 3x − 54
- x × x = x2
- x × −9 + 6 × x = −3x
- 6 × −9 = −54
12.Expand and simplify: (x + 3)(x + 8)
Answer: x2 + 11x + 24
- x × x = x2
- x × 8 + 3 × x = 11x
- 3 × 8 = 24
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