Question

Which pair of expressions is equivalent? ОА. A. 4x – 12 and 3(x – 3) B. 2(x + 3) + 1 and 2x + 6 C. 11x – 4 + 2x and 13x – 4 D. X-5 – 10x and -11% - 5​

Answer 1

Answer:

$11x - 4 + 2x$ and $13x - 4$

Step-by-step explanation:

Given

Options A to D

Required

Determine the equivalent pair

To do this, we solve each options one after the other.

$(a):$

$4x - 12$ and $3(x - 3)$

Open bracket

$4x - 12$ and $3 * x - 3 * 3$

$4x - 12$ and $3x - 9$

The above pairs are not equivalent

$(b):$

$2(x + 3) + 1$ and $2x + 6$

Open bracket

$2x + 2*3 + 1$ and $2x + 6$

$2x + 6 + 1$ and $2x + 6$

$2x + 7$ and $2x + 6$

The above pairs are not equivalent

$(c):$

$11x - 4 + 2x$ and $13x - 4$

Collect Like Terms

$11x + 2x - 4$ and $13 - x$

$13x - 4$ and $13 - x$

The above pairs are equivalent