Use the Associative Property to simplify the expression 3x+(x+2)

Question

to its simplest equivalent form

Answer 1

To simplify the expression \(3x + (x + 2)\) using the Associative Property, we can rearrange the terms. The Associative Property states that the way in which numbers are grouped does not change their sum.

1. Start with the expression: \[ 3x + (x + 2) \]

2. Apply the Associative Property by changing the grouping: \[ (3x + x) + 2 \]

3. Now simplify \(3x + x\): \[ 4x + 2 \]

Thus, the simplest equivalent form of the expression \(3x + (x + 2)\) is: \[ \boxed{4x + 2} \]

Answer 2

Use the Associative Property to group like terms together for the expression 9x+(2x+3)
. Do not simplify the grouped terms

Answer 3

To use the Associative Property to group like terms together for the expression \(9x + (2x + 3)\), we can rearrange the terms without simplifying them.

Starting with the expression: \[ 9x + (2x + 3) \]

Using the Associative Property to group the \(9x\) and \(2x\), we can rewrite the expression as: \[ (9x + 2x) + 3 \]

So, the expression with the like terms grouped together is: \[ \boxed{(9x + 2x) + 3} \]