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

Question

.(2 points)
Responses

3x and x
3x and x

3x and −4
3x and −4

x and −7
x and −7

−4 and 7
−4 and 7

Answer 1

In the expression \(3x - 4 + x + 7\), we can identify like terms as follows:

• The terms involving \(x\): \(3x\) and \(x\)
• The constant terms: \(-4\) and \(7\)

Based on this information, the pairs of like terms are:

1. \(3x\) and \(x\) (both involving \(x\))
2. \(-4\) and \(7\) (both constant terms)

Therefore, the correct responses for pairs of like terms are:

• 3x and x
• −4 and 7

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