Combining Like Terms Worksheet
This worksheet helps grade 8 students practice combining like terms in algebraic expressions.
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Combining Like Terms
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Simplify each expression by combining like terms.
1. 3x + 5y - 2x + 7y =
2. -8a + 4b - 3a - 9b =
3. 12m - 6n + 5m + n =
4. (4p - 2q) + (p + 8q) =
5. (9r + 3s) - (2r - 5s) =
6. Which expression is equivalent to 7k - 3 + 2k + 5?
9k + 8
9k + 2
5k + 2
5k + 8
7. Simplify: (6x² + 3x) - (2x² - x)
4x² + 2x
4x² + 4x
8x² + 2x
8x² + 4x
8. Write an expression for the perimeter of a rectangle with length (4x + 2) and width (2x - 1). Then, simplify the expression.
9. A baker uses 'c' cups of flour for cakes and 'm' cups of flour for muffins. If they baked 3 batches of cakes and 2 batches of muffins, write and simplify an expression for the total flour used.
10. The expression 5x + 3y - 2x can be simplified to 6xy.
True
False
11. When combining like terms, you add or subtract the coefficients and keep the variables the same.
True
False
Match each expression on the left with its simplified form on the right.
12. 6d + 2 - 4d + 5
a. 5y - 7
13. 3y - 4 + 2y - 3
b. 8z + 6
14. (10z + 4) - (2z - 2)
c. 2d + 7