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

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

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