Question

For expressions a-e select yes or no to indicate whether each expression is equivalent to 3(x + 2).

A. 3x + 2 Yes_ No_
B. 3(2 + x) Yes_ No_
C. 3x + 2x Yes_ No_
D. x + 2x + 2 + 4 Yes_ No_
E. x + x + x + 1 + 1 + 1 + 1 +1 +1 Yes_ No_

Answer 1

A. No

B. Yes

C. No

D. Yes

E. Yes

Explanation:

3(x + 2) = 3x + 6

A. 3x + 2 is not 3x + 6

B. 3(2 + x) = 6 + 3x is equal to 3x + 6

C. 3x + 2x is not the same as 3x + 6

D. x + 2x + 2 + 4 = 3x + 6 is equal to 3x + 6

E. x + x + x + 1 + 1 + 1 + 1 + 1 + 1 = 3x + 6 is the same as 3x + 6