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Simplifying Expressions Worksheet
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Simplifying Expressions Worksheet
Collect like terms and use the distributive law to simplify each expression. Show your working where space is provided.
Choose the Equivalent Expression
1.Simplify 7x + 4x.
- 11x
- 28x
- 11x²
- 7x + 4x
2.Expand 3(2a + 5).
- 6a + 15
- 5a + 6
- 6a + 5
- 6a + 8
3.Simplify 9p − 5p + 6.
- 4p + 6
- 14p + 6
- 4p − 6
- 4p
4.Which expressions are already fully simplified? Select all that apply.
- 6r − 1
- 3t + 2t
- 4q + 9
- 2(s + 4)
Collect Like Terms and Expand
5.Simplify 8b + 3b − 5b.
6.Expand and simplify 4(y + 3) + 2y.
7.Simplify 6m + 2n − 4m + 5n.
8.Expand and simplify 3(2k − 4) − (k + 2).
9.Expand and simplify 5(2c + 1) − 3c.
Match Each Expression to Its Simplified Form
Draw a line from each expression on the left to its matching result on the right.
10.Match all six expressions with their simplified forms.
- 2x + 5x
- 3(a + 2) + a
- 8y − 3y + 1
- 2(4m − 3) − 2m
- 6n − 2n − 6
- 4p + 3 − p
- 3p + 3
- 4n − 6
- 6m − 6
- 4a + 6
- 5y + 1
- 7x
Use Expressions in Context
11.A rectangle has length (2x + 4) cm and width (x + 3) cm. Write and simplify an expression for its perimeter.
12.Arjun buys x notebooks at 75p each and (x + 2) pens at 40p each. Write and simplify an expression for the total cost in pence.
13.In your own words, explain what simplifying an algebraic expression involves. Include one example of a change that can be made.
3 printable pages
Page 1
Page 2
Page 3
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