Question

Use the distributive property to write an equivalent expression for 4(10q 4r-1).

a) 40q + 16r - 4
b) 40q - 16r + 4
c) 40q + 4r - 16
d) 40q - 4r - 16

Answer 1

By applying the distributive property to 4(10q + 4r - 1), each term within the parentheses is multiplied by 4, giving the equivalent expression 40q + 16r - 4.

Step-by-step explanation:

To write an equivalent expression for 4(10q + 4r - 1) using the distributive property, you multiply each term inside the parentheses by 4. Applying the distributive property, we get:

• 4 × 10q = 40q
• 4 × 4r = 16r
• 4 × -1 = -4

Combining these, the equivalent expression is 40q + 16r - 4, which corresponds to option a).