Question

The equations below were created by students who were asked to write equivalent expressions on either side of the equals sign. Imagine you are a teacher. Your job is to decide whether their work is right or wrong. If you see an equation that is false, then: Say it is False. Then how you know it is false. 2(n + 3) = 2n + 3 *

Answer 1

Answer/Step-by-step explanation:

Given that a student wrote the following equation:

`2(n + 3) = 2n + 3`

Looking at the expression on both sides, they don't seem equal. To be sure, use any value to represent "n" in the equation. Then, simply. If what you have on your left is equal to what you have in your right, then the equation is TRUE. If otherwise, it is FALSE.

Let n = 2

`2(n + 3) = 2n + 3`

`2n + 6 = 2n + 3`

Plug in the value of n

`2(2) + 6 = 2(2) + 3`

`4 + 6 = 4 + 3`

`10 = 7`

This is not FALSE. 10 ≠ 7.

Therefore, the equation written by the student is FALSE.