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Simplifying Algebraic Expressions
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Simplifying Algebraic Expressions
Combine like terms to write each expression in its simplest form. Show your working for written questions.
Choose the correct answer
1.Which expression is equivalent to 8m − 3m + 2m?
- 7m
- 13m
- 7m²
- 3m
2.Simplify 9p − 4p + 3q.
- 5p + 3q
- 13p + 3q
- 5p − q
- 9p − 4p + 3q²
3.Which expression has no like terms that can be combined?
- 3r + 5s
- 8t − 2t
- 6u + u
- 4v + 3v
4.Select every expression that is already simplified.
- 6c − 2d
- 7h − h
- 12
- k + k + 2k
Simplify and write your answer
5.Simplify 7x + 4y − 3x + y.
6.Simplify 3a − 5b + 6a + 2b − a.
7.A school stall sells muffins for $m each and juice boxes for $j each. Hana buys four muffins and two juice boxes, then adds one more muffin. Write and simplify an expression for the total cost.
8.A plant shop charges $r for each fern and $t for each herb plant. A customer buys three ferns and four herb plants, then chooses two more ferns. Give the simplified total cost expression.
9.Simplify 8n + 3w − 5n − 7w + 2n.
Challenge
10.Expand the brackets and simplify: 3(x + 4) + 2(x − 5).
11.Simplify fully: 7a − 2b + 3c − 4a + 5b − c.
2 printable pages
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