Let's practice applying the distributive property to expressions.
1. 3(x + 4) = 3 * x + 3 * 4 = 3x + 12
2. 2(5 + y) = 2 * 5 + 2 * y = 10 + 2y
3. 4(2x - 3) = 4 * 2x - 4 * 3 = 8x - 12
4. 7(2x + 3y) = 7 * 2x + 7 * 3y = 14x + 21y
5. -2(3x - 4y) = -2 * 3x - (-2 * 4y) = -6x + 8y
6. -(5x + 2) = -5x - 2
7. -3(2x + y) = -3 * 2x - 3 * y = -6x - 3y
8. 4(3x - 2y) = 4 * 3x - 4 * 2y = 12x - 8y
9. -2(4x + 5) = -2 * 4x - 2 * 5 = -8x - 10
10. -(x + y) = -x - y
Remember, when applying the distributive property, you multiply each term inside the parentheses by the number outside the parentheses and then combine like terms.
Distributive property practice
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