Select all pairs of like terms in the expression 4x−3+7x+1

Question

.(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