Question

9. Select all expressions that are

equivalent to 18a – 12.
2(9a - 6)
6(3a – 2)
-3(6a + 4)
3(6a + 4)
0 (
— 3(4 – 6а)

Answer 1

2(9a - 6), 6(3a – 2) and -3(4 – 6а)

Explanation:

2(9a - 6) = 2 × 9a + 2 × (-6)

= 18a - 12

6(3a - 2) = 6 × 3a + 6 × (-2)

= 18a - 12

- 3( 4 - 6a ) = - 3 × 4 + (-3) × (- 6a)

= - 12 + 18a = 18a - 12

Answer 2

Explanation:

2(9a - 6) = 2*9a - 2*6 = 18a - 12

Yes, it is equivalent.

6*(3a-2) = 6*3a - 6*2 = 18a - 12

Yes, it is equivalent.

-3(6a+4)= -3*6a + 4*(-3) = -18a - 12

No, not equivalent

3(6a+4) = 3*6a + 3*4 = 18a + 12

No, not equivalent

-3(4-6a) = -3*4 - 6a*(-3 ) = -12 + 18a = 18a - 12

Yes, it is equivalent.