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Collecting Like Terms
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Collecting Like Terms
Combine terms only when they have the same variable part, including the same powers. Show your working for the simplification questions.
Recognise and Combine Like Terms
1.Which term is like 7pq?
- 7p
- −2pq
- 3p²q
- 7q
2.Simplify 6r + 9r.
- 15r
- 54r
- 15r²
- 3r
3.Select every term that is like 4t².
- −t²
- 4t
- 9t²
- 2t³
4.Which expression is equivalent to 4y + 8 − 7y + 2?
- −3y + 10
- 11y + 10
- −3y + 6
- 3y + 10
Match and Simplify
5.Match each expression on the left to its simplified form on the right.
- 3a + 5a
- 9b − 4b
- 2c + 7 − c
- 6d − 3 + 2d + 8
- 5m² − 2m² + m
- 4n + 3 − 9n − 6
- 5b
- −5n − 3
- 8d + 5
- 3m² + m
- 8a
- c + 7
Show Your Working
6.Simplify 8a + 3b − 5a + 6.
7.Simplify −4x + 9 + 7x − 12.
8.Simplify 5m − 3n + 2m + 8n.
9.Simplify 4p² + 6p − p² − 9p + 2.
10.Simplify 3q − 5 + 2q² + 4 − 7q².
11.Simplify 2(3r + 4) + r − 5.
Apply and Explain
12.Oliver works h hours helping at a café, earning $4 per hour, and h hours tutoring, earning $6 per hour. She also receives a one-off $15 payment. Write a simplified expression for her total earnings.
13.Explain what must match for two algebraic terms to be like terms. Include an example of a pair of like terms.
3 printable pages
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