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Simplifying Algebraic Expressions
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Simplifying Algebraic Expressions
Simplify each expression by collecting like terms and using the distributive law where needed. Factorise expressions where asked. Show your working for written questions.
Choose the best answer
1.Simplify 7p + 4p.
- 11p
- 28p
- 11p²
- 3p
2.Which equation correctly uses the distributive law?
- 5(r + 2) = 5r + 10
- 5(r + 2) = 5r + 2
- 5(r + 2) = r + 10
- 5(r + 2) = 7r
3.Simplify 3(2t + 1) − (t − 4).
- 5t + 7
- 5t − 3
- 7t + 7
- 5t + 1
4.Which expression is equivalent to 4(n + 2)?
- 4n + 8
- 4n + 2
- n + 8
- 8n
Match each expression to its simplified form
Write the matching letter beside each expression.
Show your working
5.Simplify fully: 6b + 5 − 2b + 9.
6.Expand and simplify: −2(k − 5) + 3k.
7.Simplify by collecting like terms: (4c + 2c) + (5c − 3c).
8.Factorise 10q + 15 by taking out the greatest common factor.
9.Ivy buys 3 bundles of stickers. Each bundle contains (2s + 5) stickers. She gives away 4 stickers. Write and simplify an expression for the number of stickers she has left.
10.Expand and simplify: 2(3w − 4) + 5(w + 1).
2 printable pages
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