Question

What value for a makes this equation true? 6 • a = (6 • 30) + (6 • 2)

A. 36
B. 32
C. 28
D. 26

Answer 1

B) 32. If you do the parenthesis first, you get 180 and 12. Then you add those together to get 192. Then you take 192 and divide it by six, because division is the opposite of multiplication, and you get 32.

Answer 2

Given:
6a = (6x30) + (6x2)

Find the value of a.

6a = (6x30) + (6x2)

As you notice, 6 is the common factor of each term
6a =6(30+2)
6a = 6(32)

To get the value of a, divide both sides by 6.
6a/6 = 6(32)/6

a = 32 CHOICE B.

6a = (6*30)+(6*2)
6(32) = 180 + 12
192 = 192

or you can solve the problem this way.

6a = (6*30)+(6*2)
6a = 180 + 12
6a = 192
6a/6 = 192/6
a = 32