10th Grade Expanding Expressions (Distributive Property) Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the 10th Grade algebraic expressions worksheet.
Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Algebraic Expressions10th Grade Expanding Expressions (Distributive Property) Worksheet — Level 2 — Answers
Multiply every term inside the parentheses. Then collect like terms.
1.Expand and simplify: (x + 4)(x − 1)
Answer: x2 + 3x − 4
- x × x = x2
- x × −1 + 4 × x = 3x
- 4 × −1 = −4
2.Expand and simplify: (x + 6)(x − 7)
Answer: x2 − x − 42
- x × x = x2
- x × −7 + 6 × x = −x
- 6 × −7 = −42
3.Expand and simplify: (x − 5)(x − 8)
Answer: x2 − 13x + 40
- x × x = x2
- x × −8 + −5 × x = −13x
- −5 × −8 = 40
4.Expand and simplify: (x − 1)(x + 7)
Answer: x2 + 6x − 7
- x × x = x2
- x × 7 + −1 × x = 6x
- −1 × 7 = −7
5.Expand and simplify: (x − 7)(x + 4)
Answer: x2 − 3x − 28
- x × x = x2
- x × 4 + −7 × x = −3x
- −7 × 4 = −28
6.Expand and simplify: (x + 9)(x − 6)
Answer: x2 + 3x − 54
- x × x = x2
- x × −6 + 9 × x = 3x
- 9 × −6 = −54
7.Expand and simplify: (x + 7)(x − 1)
Answer: x2 + 6x − 7
- x × x = x2
- x × −1 + 7 × x = 6x
- 7 × −1 = −7
8.Expand and simplify: (x − 3)(x − 7)
Answer: x2 − 10x + 21
- x × x = x2
- x × −7 + −3 × x = −10x
- −3 × −7 = 21
9.Expand and simplify: (x + 5)(x − 2)
Answer: x2 + 3x − 10
- x × x = x2
- x × −2 + 5 × x = 3x
- 5 × −2 = −10
10.Expand and simplify: (x − 4)(x + 7)
Answer: x2 + 3x − 28
- x × x = x2
- x × 7 + −4 × x = 3x
- −4 × 7 = −28
11.Expand and simplify: (x − 8)(x − 3)
Answer: x2 − 11x + 24
- x × x = x2
- x × −3 + −8 × x = −11x
- −8 × −3 = 24
12.Expand and simplify: (x − 3)(x + 5)
Answer: x2 + 2x − 15
- x × x = x2
- x × 5 + −3 × x = 2x
- −3 × 5 = −15
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