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Simplifying Algebra Expressions
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Simplifying Algebra Expressions
Expand brackets where needed, then collect like terms. Show your working for each question. Use the matching activity to connect each expression to its simplified form.
Expand brackets
Multiply each term inside the brackets by the factor outside. Then simplify if needed.
1.Expand and simplify: 4(x + 3).
2.Expand and simplify: 3(y + 6) − 2.
3.Expand: 5(a − 4).
4.Expand and simplify: 2(3p + 5) + 1.
5.Which expression is the result of expanding 6(2r − 3)?
- 12r − 18
- 12r − 3
- 8r − 18
- 12r + 18
Collect like terms
Group terms with the same variable part, and combine the number terms.
6.Simplify: 6x + 4 + 3x − 7.
7.Simplify: 8b − 5 + 2b + 9.
8.Simplify: 7m + 3n − 2m + 5n.
9.Simplify: 4c − 3d + 2c + 8d − 6.
10.Match each expression with its simplified form.
- 5x + 2x − 4
- 10 − 3a + a
- 6y + 1 − 3y + 8
- 4p + 2q − p + 5q
- 7x − 4
- 3p + 7q
- 10 − 2a
- 3y + 9
Combine the skills
Expand the brackets before collecting like terms.
11.Simplify: 3(x + 5) + 2x − 4.
12.Simplify: 2(4y − 3) + 3(y + 2).
13.A rectangle is 3x + 2 metres long and 4 metres wide. Write a simplified expression, in metres, for its perimeter.
14.Simplify 4(2k − 1) − 3(k + 2). Show how you expand the brackets and collect like terms.
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