Question

Which best proves why the expressions 4 (x + 3) + 2 x and 6 (x + 2) must be equivalent expressions?

A. When x = 3, both expressions have a value of 30.

B. When x = 5, both expressions have a value of 42.

C.When x = 1, both expressions have a value of 18, and when x = 8, both expressions have a value of 60.

D.When x = 2, both expressions have a value of 15, and when x = 6, both expressions have a value of 39.

Answer 1

Answer:

A. When x = 3, both expressions have a value of 30.

Step-by-step explanation:

The first expression is 4(x+3)+2x

The second expression is 6(x+2).

When we substitute x=3 into the first equation, we get:

$4(3 + 3) + 2(3) = 4 \times 6 + 6 = 24 + 6 = 30$

When we substitute x=3 into the second expression we get:

$6(3 + 2) = 6(5) = 30$

This proves that the two expressions are equivalent.

The correct choice is A

Answer 2

Answer: A

Step-by-step explanation:

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