Question

maria correctly calculated 7×98 using the expression 7(100 - 2). which step uses the distributive property correctly to find the answer? 1 point
○ 7×100 - 2
○ 7×100 + 7×2
○ 700 - 14
○ 7×98

use the distributive property to write an equivalent expression for 8(x + 5y - 2). 1 point
○ 8x + 40y - 16
○ 8x + 40y - 2
○ 8x + 5y - 16
○ 8x + 5y - 2

Explanation:

Step1: Apply distributive property to $7(100-2)$

The distributive property states $a(b-c)=ab-ac$. So:
$7(100-2)=7\times100 - 7\times2 = 700 - 14$

Step2: Apply distributive property to $8(x+5y-2)$

The distributive property states $a(b+c-d)=ab+ac-ad$. So:
$8(x+5y-2)=8\times x + 8\times5y - 8\times2 = 8x+40y-16$

Answer:

1. 700-14
2. 8x+40y-16