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

Question

-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