Question

Select all pairs of like terms in the expression 4x−3+7x+1
.(2 points)
Responses

−3 and 1
−3 and 1

4x and −3
4x and −3

4x and 7x
4x and 7x

7x and −3
7x and −3

Answer 1

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

Let's identify the terms in the expression:

- \( 4x \) and \( 7x \) are like terms because they both have the variable \( x \).
- \( -3 \) and \( 1 \) are like terms because they are both constant terms (no variables).

Now let's review the pairs from your responses:

1. **−3 and 1** - This is a pair of like terms (both constants).
2. **4x and −3** - This is not a pair of like terms (one is a variable term and the other is a constant).
3. **4x and 7x** - This is a pair of like terms (both have the variable \( x \)).
4. **7x and −3** - This is not a pair of like terms (one is a variable term and the other is a constant).

The correct pairs of like terms in the expression are:

- **−3 and 1**
- **4x and 7x**