Question

The Distributive Property

Simplify each expression using the distributive property.
1) 5(x + 4) 5x+205
2) 9(m-5)9m-45
3) 7(a - 4) 7a-28
4) 4(p + 6)4p+24
5) 2(y + 2) 24+4
6) 8(b - 28b-16
7) 5(3n - 8)15n-40
8) 12(59 + 3)60g+36
9) 4(3r - 2)12r-8
10) 146w + 12)84W+168

Answer 1

Using the distributive property, we simplify each expression by multiplying the coefficient with both terms inside the parentheses.

Step-by-step explanation:

Using the distributive property, we can simplify each expression by distributing the coefficient to both terms inside the parentheses. For example, in the expression 5(x + 4), we multiply 5 by both x and 4 to get 5x + 20. Here are the simplified forms for each expression:

1. 5(x + 4) = 5x + 20
2. 9(m - 5) = 9m - 45
3. 7(a - 4) = 7a - 28
4. 4(p + 6) = 4p + 24
5. 2(y + 2) = 2y + 4
6. 8(b - 16) = 8b - 16
7. 5(3n - 8) = 15n - 40
8. 12(5 + 3) = 60 + 36
9. 4(3r - 2) = 12r - 8
10. 14w + 12 = 84w + 12