Question

6) Which of the following expressions are equivalent to 40x + 30y? Choose ALL that apply.

5x(8 + 6)
5(8x + 6y)
10(40x + 30y)
10(4x + 3y)
2y(20x + 15)
2(20x + 15y)

Answer 1

5(8x + 6y), 10(4x + 3y), 2(20x + 15y)

Answer 2

5(8x + 6y), 10(4x + 3y), 2(20x + 15y)

Explanation:

(5x *8) + (5x *6) = 40x + 30x no

(5 * 8x) + (5 *6y) = 40x + 30y yes

10*40x + 10*30y = 400x + 300y no

10*4x + 10*3y = 40x + 30y yes

2y *20x + 2y*15 = 40xy + 30y no

2*20x + 2*15y = 40x + 30y yes