Question

etermine whether the given terms are like terms. if so, combine the like terms and be sure to enter the appropriate unit. (a) 2 tomatoes, 5 ounces \bigcirc like terms \bigcirc not like terms 2 tomatoes + 5 ounces = \square (b) 7 bands, 3 bands \bigcirc like terms \bigcirc not like terms 7 bands - 3 bands = \square (c) 2 bananas, 6 bananas \bigcirc like terms \bigcirc not like terms 2 bananas + 6 bananas = \square

Explanation:

Part (a)

Step1: Identify like terms

Tomatoes and ounces are different units (different types of quantities), so they are not like terms. Thus, we can't combine them.

Step2: State the result

Since they are not like terms, \( 2 \text{ tomatoes} + 5 \text{ ounces} \) remains as is (can't be combined into a single term with a unit).

Step1: Identify like terms

Bands are the same type of quantity, so 7 bands and 3 bands are like terms.

Step2: Combine like terms

To combine \( 7 \text{ bands} - 3 \text{ bands} \), we subtract the coefficients: \( 7 - 3 = 4 \), so the result is \( 4 \text{ bands} \).

Step1: Identify like terms

Bananas are the same type of quantity, so 2 bananas and 6 bananas are like terms.

Step2: Combine like terms

To combine \( 2 \text{ bananas} + 6 \text{ bananas} \), we add the coefficients: \( 2 + 6 = 8 \), so the result is \( 8 \text{ bananas} \).

Answer:

Not like terms, \( 2 \text{ tomatoes} + 5 \text{ ounces} \) (can't combine)

Part (b)