which expression is equivalent to 3x + 2

3 answers

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+22+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 choices

x + x + x + 1 + 1

x + x + 1 + 1 + 1

3x +6

3 + x + 2

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.