Question

determine whether the given terms are like terms. if so, combine the like terms and be sure to enter the appropriate unit. (a) 11 ounces, 8 ounces like terms 11 ounces - 8 ounces = not like terms (b) 12 months, 7 cars like terms 12 months + 7 cars = not like terms (c) 10 apples, 6 inches like terms 10 apples - 6 inches = not like terms

Explanation:

Step1: Analyze part (a)

Like terms have the same unit. 11 ounces and 8 ounces have the same unit (ounces), so they are like terms. To combine them: \(11 - 8 = 3\), so \(11\) ounces \( - 8\) ounces \( = 3\) ounces.

Step2: Analyze part (b)

12 months (unit: months) and 7 cars (unit: cars) have different units, so they are not like terms. We can't combine them.

Step3: Analyze part (c)

10 apples (unit: apples) and 6 inches (unit: inches) have different units, so they are not like terms. We can't combine them.

Answer:

(a) Like terms; \(11\) ounces \( - 8\) ounces \( = \boldsymbol{3}\) ounces
(b) Not like terms
(c) Not like terms