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

Question

• 4x and - 3
• 7x and - 3
• 4x and 7x
• -3 and 1

Answer 1

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

• \(4x\) and \(7x\) are like terms because they both contain the variable \(x\).
• \(-3\) and \(1\) are like terms because they are both constant terms.

The pairs of like terms in the given options are:

• 4x and 7x
• -3 and 1

So, the correct pairs of like terms are:

1. 4x and 7x
2. -3 and 1

The other options (\(4x\) and \(-3\), and \(7x\) and \(-3\)) do not represent like terms.