Which expressions below are equivalent to

2 (2x + 1) ?

Select all that apply.

A. 4x + 2

B. 2 (1 + 2x)

C. 2 (2x) + 1

D. 2x + 1 + 2x + 1

E. x + x + x + x + 1+1

A, B, D, E

Step-by-step explanation:

2 (2x + 1) = (2) (2x) + (2) (1) = 4x + 2 → A

used distributive property

2 (2x + 1) = 2 (1 + 2x) → B

used commutative property

2 (2x + 1) = (2x + 1) + (2x + 1) = 2x + 1 + 2x + 1 → D

used 2a = a + a

2 (2x + 1) = 4x + 2 = x + x + x + x + 1 + 1 → E

used 4x = x + x + x + x and 2 = 1 + 1