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Simplifying Expressions Worksheet
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Simplifying Expressions Worksheet
Collect like terms to simplify each expression. Show your working for the word problems.
Choose the Simplified Expression
1.Which expression is equivalent to 4x + 7x?
- 11x
- 28x
- 11x²
- 3x
2.Simplify 5a + 6 + 3a.
- 8a + 6
- 8a + 9
- 14a
- 2a + 6
3.Which expression cannot be simplified by collecting like terms?
- 4p + 9p
- 3r + 5s
- 8q + 2q + 1
- 7t - 3t
4.Simplify 10b - 4b.
- 6b
- 14b
- 6
- 10b - 4b
Complete Each Simplification
5.Simplify: 7x + 5x = .
6.Complete the simplification: 8y + 4 + 2y = + 4.
7.Fill in the missing term: 6m + = 11m.
8.Simplify: 15n - 9n = .
Write and Simplify Expressions
9.At a bookshop, Freya buys a bundle costing 4x pence and Sophie buys one costing 6x pence. Write and simplify an expression for their combined cost in pence.
10.A rectangle has a length of (5y + 3) cm. Its width is 2y cm shorter than its length. Write and simplify an expression for its width.
11.In a bookshop, a notebook costs 3a pence and a pencil costs 2a pence. Rhys buys 3 notebooks and 4 pencils. Write and simplify an expression for the total cost in pence.
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