Question
Use the Associative Property to rewrite the expression 3x + (x + 2)
Answers
GPT-4o mini
The Associative Property states that the way in which numbers are grouped in an expression does not change their sum (for addition) or product (for multiplication). For addition, this can be expressed as:
\[
a + (b + c) = (a + b) + c
\]
In the expression \(3x + (x + 2)\), we can apply the Associative Property by regrouping the terms. The expression can be rewritten as follows:
\[
(3x + x) + 2
\]
Now, you can combine \(3x\) and \(x\):
\[
(3x + x) + 2 = 4x + 2
\]
Thus, using the Associative Property, the expression \(3x + (x + 2)\) can be rewritten as:
\[
4x + 2
\]
\[
a + (b + c) = (a + b) + c
\]
In the expression \(3x + (x + 2)\), we can apply the Associative Property by regrouping the terms. The expression can be rewritten as follows:
\[
(3x + x) + 2
\]
Now, you can combine \(3x\) and \(x\):
\[
(3x + x) + 2 = 4x + 2
\]
Thus, using the Associative Property, the expression \(3x + (x + 2)\) can be rewritten as:
\[
4x + 2
\]