Question

1. select all that show examples of like terms: 2.5w and -8w, (1/2)x and 1/2, 38 and -15, 5a and 5b

Explanation:

Step1: Define like terms

Like terms have identical variables (or no variables, i.e., constants) with the same exponents.

Step2: Check first pair

$2.5w$ and $-8w$ share variable $w$. They are like terms.

Step3: Check second pair

$\frac{1}{2}x$ has variable $x$, $\frac{1}{2}$ has no variable. Not like terms.

Step4: Check third pair

$38$ and $-15$ are constants (no variables). They are like terms.

Step5: Check fourth pair

$5a$ has variable $a$, $5b$ has variable $b$. Not like terms.

Answer:

• 2.5w and -8w
• 38 and -15