Question

Once simplified, which of the expressions below is equal to 11x + 33? Select all that apply.A) 9x + 12–2x + 21B) 11(x + 3)C) 8(x + 2) + 3x + 17D) 12(1/4 x + 3) + 8x - 3

Answer 1

Simplifying each expression, we have:

A)

`\begin{gathered} 9x+12-2x+21 \\ =(9x-2x)+(12+21) \\ =7x+33 \end{gathered}`

This expression is different from 11x + 33

B)

`\begin{gathered} 11(x+3) \\ =11\cdot x+11\cdot3 \\ =11x+33 \end{gathered}`

This expression is equal 11x + 33.

C)

`\begin{gathered} 8(x+2)+3x+17 \\ =8x+16+3x+17 \\ =11x+33 \end{gathered}`

This expression is equal 11x + 33

D)

`\begin{gathered} 12((1)/(4)x+3)+8x-3 \\ =3x+36+8x-3 \\ =11x+33 \end{gathered}`

This expression is equal 11x + 33.

So the options that are correct are B, C and D.