Question

Select all expressions that are equivalent to 6(b+2)-b. A) 5b+12 B) 7b+8 C) 6b+8-b D) 5b+8 E) 6b+12-b

Answer 1

A, E

Explanation:

Wanted expression: 6(b+2)-b

Let's factorise each expression and make it look like the wanted expression as much as possible.

A: 5b+12

In this case we do not have a "-b" at the back, to make it similar to the given expression we can insert a "-b" at the back while adding 1 b to the front (5b) of the expression.

6b+12-b

6(b+2)-b

B: 7b+8

8b+8-b

8(b+1)-b

C: 6b+8-b

2(3b+4)-b

D: 5b+8

6b+8-b

2(3b+4)-b

E: 6b+12-b

6(b+2)-b

The 2 expressions out of A-E that are the same as the wanted expression are A and E.

hope this helps :))