which expression is equivalent to 3x + 2

Answer 1

The expression \(3x + 2\) can be expressed in several equivalent forms by applying algebraic principles. Here are a few examples:

1. Factored form: You can factor out a common term if applicable; however, this expression isn't easily factored in terms of integers.

2. Adding or subtracting the same value: You could express it by adding and then subtracting 2, for example: \[ 3x + 2 = 3x + 2 - 2 + 2 = 3x + 0 \]

3. In terms of different variables: You can replace \(x\) with another variable, say \(y\) (if you assume \(y = x\)), so: \[ 3y + 2 \]

4. Or by rearranging the terms: \[ 2 + 3x \]

These are just a few examples of expressions that are equivalent to \(3x + 2\). If you meant to ask for specific forms or other types of equivalent expressions, feel free to clarify!

Answer 2

answer choices

x + x + x + 1 + 1

x + x + 1 + 1 + 1

3x +6

3 + x + 2

Answer 3

To determine which expression is equivalent to \(3x + 2\), let’s simplify each of the answer choices given:

1. Choice 1: \(x + x + x + 1 + 1\)
   Simplifying this: \[ x + x + x + 1 + 1 = 3x + 2 \]

2. Choice 2: \(x + x + 1 + 1 + 1\)
   Simplifying this: \[ x + x + 1 + 1 + 1 = 2x + 3 \]

3. Choice 3: \(3x + 6\)
   This does not equal \(3x + 2\).

4. Choice 4: \(3 + x + 2\)
   Simplifying this: \[ 3 + x + 2 = x + 5 \]

Comparing these simplifications to \(3x + 2\), we find that the only equivalent expression is:

Choice 1: \(x + x + x + 1 + 1\)

This choice simplifies to \(3x + 2\).