Question

Select all pairs of like terms in the expression%C2%A0 4x−3+7x+1 .(2 points) Responses 4x%C2%A0and%C2%A0−3 4x%C2%A0and%C2%A0−3 7x%C2%A0and%C2%A0−3 7x%C2%A0and%C2%A0−3 −3%C2%A0and%C2%A01 −3%C2%A0and%C2%A01 4x%C2%A0and%C2%A07x

Answer 1

In the expression \( 4x - 3 + 7x + 1 \), we can identify the like terms. Like terms are terms that have the same variable raised to the same power.

The terms in the expression are:

1. \( 4x \)
2. \( 7x \)
3. \( -3 \)
4. \( 1 \)

The pairs of like terms are:

- \( 4x \) and \( 7x \) (both have the variable \( x \))
- \( -3 \) and \( 1 \) (both are constant terms)

Now, let's check the given responses for like term pairs:

1. **4x and −3** - Not a pair of like terms.
2. **7x and −3** - Not a pair of like terms.
3. **−3 and 1** - This **is** a pair of like terms.
4. **4x and 7x** - This **is** a pair of like terms.

So the correct pairs of like terms from the expression \( 4x - 3 + 7x + 1 \) are \( 4x \) and \( 7x \), and \( -3 \) and \( 1 \).