Question

Select all pairs of like terms in the expression 2x - 8 + x + 5

-8 and 5

2x and 5

2x and -8

2x and x

Answer 1

In the expression \( 2x - 8 + x + 5 \), we identify the like terms:

- The terms involving \( x \) are \( 2x \) and \( x \).
- The constant terms are \( -8 \) and \( 5 \).

Now, let's look at the options for pairs of like terms:

1. **-8 and 5** (constant terms) - **like terms**
2. **2x and 5** (one variable term and one constant term) - **not like terms**
3. **2x and -8** (one variable term and one constant term) - **not like terms**
4. **2x and x** (both variable terms) - **like terms**

Thus, the pairs of like terms in the expression are:

- **-8 and 5**
- **2x and x**