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Simplifying Algebraic Expressions
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Simplifying Algebraic Expressions
Collect like terms, use the distributive property where needed, and show your working. Terms with different variables cannot be combined.
Collecting Like Terms
1.Simplify 6a + 2a − 3a.
2.Simplify 9x − 4x + 2x.
3.Simplify 3m + 7m − 5m.
4.Which expression is equivalent to 8b − 3b + b?
- 6b
- 12b
- 4b
- 6b²
Mixed Terms and Operations
5.Simplify 5p + 2q − 3p + 6q.
6.Simplify 7r − 3r + 8 − 5.
7.Expand and simplify 3(2x + 5).
8.Simplify 4c + 3d − 2c + 5d − 7.
9.True or false: In 6x + 2y − 4x + 5y, the x-terms and y-terms can each be collected together.
TrueFalse
10.Match each expression to its simplified form.
- 3x + 4x − 2
- 2a + 3a + 6
- 4y + 1 − y + 3
- 5m − 2m + 8
- 7x − 2
- 3m + 8
- 3y + 4
- 5a + 6
Challenge
11.Expand and simplify 2(3a − 4) + 5a + 9.
12.Simplify 5(2n + 1) − 3(n − 2).
13.Write one expression with at least four terms that simplifies to 4x + 7. Show how your terms combine.
3 printable pages
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