1

Problem

Use the Associative Property of Addition to find the value of variable
\$ 2 + (x + 1) = (2 + 3) + 1 \$

2

Step

The given equation

2 + (x + 1) = (2 + 3) + 1

3

Formula

Associative property of addition: a + (b + c) = (a + b) + c.

4

Step

By using Associative property of addition

2 + (x + 1) = ( 2 + 3) +1

5

Step

Now adding common terms on both sides

2 + (x + 1) = ( 2 + 3) + 1 + x + 3 = 5 + 1

6

Step

Now, to isolate x, we subtract 3 from both sides:

x + 3 - 3 = 6 - 3

x = 6 - 3

x = 3

7

Solution

So, the value of the variable x is 3.

8

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

9

Choice-A

This option might have been chosen if one mistakenly added all the numbers together without considering the associative property. However, the associative property allows us to regroup the numbers being added without changing the result

Wrong 5

10

Choice-B

This option is incorrect. It seems to ignore the addition within the parentheses and only focuses on the 2 outside the parentheses

Wrong 2

11

Choice-C

This is correct because x + 3 = 6, and by solving for x, we get x = 3

Correct 3

12

Choice-D

This option is incorrect. It’s unclear how it was derived from the equation, as there’s no obvious manipulation that leads to the number 4

Wrong 4

13

Step

Option

C

14

Sumup

Please Summarize Choices