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Simplifying Algebraic Expressions
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Simplifying Algebraic Expressions
Show your working where asked. Combine only like terms, and simplify each expression as far as possible.
Combining Like Terms
1.Simplify 6x + 5x.
2.Simplify 8a + 3b - 2a + 6b.
3.Simplify 9m - 4n - 2m + 7n.
4.Simplify 5y + 8 - 2y - 11.
5.Which expression is equivalent to 7p + 5q?
- 3p + 4p + 2q + 3q
- 12pq
- 7p + 5q + p
- 5p + 7q
6.In 3r + 8s + 6r - 2s + 4t, list the like terms in groups.
7.Match each expression to its simplified form.
- 4x + 3x - 2
- 6a - 2a + 5
- 3m + 7n + 2m
- 9p - 4 + 2p + 1
- 4a + 5
- 7x - 2
- 5m + 7n
- 11p - 3
Using the Distributive Property
8.Expand 4(x + 6).
9.Expand 3(2a - 5).
10.Expand -2(4m + 3).
11.Expand 5(2p - q + 3).
12.Choose the expansion of 3(4x + 2).
- 12x + 6
- 7x + 5
- 12x + 2
- 4x + 6
Mixed Practice and Applications
13.Expand and simplify 2(5x + 3) + 4x.
14.Expand and simplify 4(a - 3) + 2a + 9.
15.Expand and simplify 3(2m + 4n) - 5m + n.
16.A rectangle has length (2x + 5) cm and width 3 cm. Write and simplify an expression for its perimeter.
17.Explain what it means for two algebraic expressions to be equivalent. Include a simple example.
18.Challenge: Expand and simplify 2(4x - 3) + 3(x + 2) - 5x.
3 printable pages
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