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Simplifying Algebraic Expressions
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Simplifying Algebraic Expressions
Collect like terms and use the distributive property where needed. Show working for the longer expressions. In the matching task, use each simplified expression once.
Choose and Match
1.Simplify 7x − 2x.
- 9x
- 5x
- 5
- −5x
2.Simplify 6p + 2q − 4p + 5q.
- 2p + 7q
- 10p + 3q
- 2p − 3q
- 7pq
3.Simplify 3r − 5 + 2r + 8.
- 5r + 3
- 5r − 13
- r + 3
- 5r
4.Match each expression to its simplified form.
- A. 3a + 4a − a
- B. 2(b + 5) + b
- C. 5y − 2(y − 3)
- D. 4z + 2 + 2z + 3
- 2. 6a
- 4. 3y + 6
- 3. 3b + 10
- 1. 6z + 5
Simplify and Explain
5.Simplify 8m − 3m + 2m.
6.Expand and simplify 3(c + 4) − 2c.
7.Expand both brackets and simplify 5(2x − 1) − 3(x + 2).
8.A bike hire costs $8 per hour plus a one-off $12 booking fee. Write and simplify the total cost for two identical hires, each lasting h hours.
9.Select every expression that is a like term with 4t.
- −t
- 4u
- 9t
- t²
- 0.5t
10.A student says that 3x + 2y + 4x simplifies to 9xy. Explain the error and give the correct simplified expression.
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