Question

25

An expression is shown below.
2/3
3a + 3b + 8
Place a check mark next to each equivalent expression.
A. O 3a + 3b + (8 + 4) − 4
B. O −(−¾a + ½¾⁄b + 8)
c.
(a + b + 8)
(3a + 3b + 8) × ²1/1
E.O a + b + 0 × c + 8
D. 6 x

Answer 1

Answer: To determine which expressions are equivalent to the given expression, we need to simplify the given expression first:

2/3 (3a + 3b + 8) = 2a + 2b + 16/3

Now we can check which expressions are equivalent to this simplified expression:

A. 3a + 3b + (8 + 4) − 4 = 3a + 3b + 8, not equivalent

B. −(−¾a + ½¾⁄b + 8) = 3/4 a - 3/2 b - 8, not equivalent

C. (a + b + 8) (3a + 3b + 8) × ²1/1 = (3a^2 + 9ab + 24a + 3b^2 + 24b + 64)/1, not equivalent

D. 6x = 6x, not equivalent

E. a + b + 0 × c + 8 = a + b + 8, not equivalent

None of the expressions is equivalent to the given expression 2/3 (3a + 3b + 8).

Explanation: