Question

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

Answer 1

There are 2 answers

Answer 2

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

Let's look at the terms in the expression:

- \(3x\) (a term with \(x\))
- \(-4\) (a constant)
- \(x\) (a term with \(x\))
- \(7\) (a constant)

Now let's check the options:

1. **x and -7**: Not a pair of like terms (one is a variable and the other is a constant).
2. **3x and x**: This is a pair of like terms (both have the variable \(x\)).
3. **3x and -4**: Not a pair of like terms (one has variable \(x\) and the other is a constant).
4. **-4 and 7**: Not a pair of like terms (both are constants, but they are not like in the sense of having the same variable).

Thus, the only pair of like terms is **3x and x**.

Answer 3

Apologies for the oversight! Let’s analyze the expression \(3x - 4 + x + 7\) carefully again and find all the pairs of like terms.

The terms in the expression are:

- \(3x\) (linear term with \(x\))
- \(-4\) (constant)
- \(x\) (linear term with \(x\))
- \(7\) (constant)

Now, we can check the pairs of the provided options again:

1. **x and -7**: Not a pair of like terms (one is a variable and the other is a constant).
2. **3x and x**: This is a pair of like terms (both are terms with \(x\)).
3. **3x and -4**: Not a pair of like terms (one is a term with \(x\) and the other is a constant).
4. **-4 and 7**: Not like terms (both are constants, not concerning \(x\)), but we can consider them as like terms because they are constants.

Therefore, in this case, the two pairs of like terms can be considered as:

- The pair of variable terms: **3x and x**
- The pair of constant terms: **-4 and 7**

So, the answers are **3x and x** and **-4 and 7**.

Thank you for your patience, and I hope this clears up the confusion!