Harvest Stall: Parts of Expressions

Analyze expressions used by a school garden club at a farmers market.

Identify the Parts

Read each garden club expression as written. Identify its parts without rewriting or evaluating it.

Match each description from the club's planning notes to the correct math word.

The club records tomato sales with 4.25n + 16.

What is the coefficient of n?

The expression 6n + 11 + 2p represents three amounts in the stall's records. Select all three terms as written.

A packing note contains 9(n + 4). Which pair gives the two factors in this product as written?

A. 9n and 4B. n and 4C. 9 and nD. 9 and (n + 4)

The club combines two counts using n + 23. The term n has an unwritten numerical coefficient.

What is the coefficient of n?

Look Inside Grouped Expressions

Pay attention to parentheses. A grouped expression can act as one part of a larger expression.

The club writes 5(n + 7) for a packing plan. Which description names the structure of the whole expression?

A. It is the sum of 5 and the product of n and 7.B. It is the product of 5 and the sum of n and 7.C. It is the sum of the product of 5 and n, and 7.D. It is the quotient of the sum of n and 7, and 5.

A harvest record uses 8n + 3(p + 2) + 14. Count the terms in the whole expression, treating the grouped product as one term.

How many terms are there?

The expression (n + 15) ÷ 6 describes equal shares of a harvest. Which part is the entire quantity being divided by 6?

A. n + 15B. 15C. nD. 15 ÷ 6

The club compares n ÷ 4 + 9 with (n + 9) ÷ 4. Which statement correctly describes both expressions?

A. Both expressions are sums with 9 as a term.B. Both expressions are quotients with 4 as the divisor.C. The first is a sum; the second is a quotient.D. The first is a quotient; the second is a sum.

10.

Herb bundles sell for $1.50 each, and pepper baskets sell for $3.25 each. The club uses 1.50n + 3.25p for total sales, where n counts herb bundles and p counts pepper baskets.

What is the coefficient of p, the number that gives the price of one pepper basket? dollars per basket

Interpret the Market Plans

Connect each expression part to the situation. Explain your reasoning in the final question.

11.

Each market crate holds n zucchini and 5 cucumbers. The club packs 7 identical crates, so 7(n + 5) represents the total number of vegetables. What does the factor (n + 5) represent?

A. It represents the number of zucchini in all seven crates.B. It represents the number of vegetables in one crate.C. It represents the number of cucumbers in all seven crates.D. It represents the number of crates packed for the market.

12.

The club harvests n pounds of beans in the morning and 13 pounds in the afternoon. It divides all the beans equally among 4 market bins. Which expression is a quotient whose dividend is the sum of the two harvest amounts?

A. n + 13 ÷ 4B. 4(n + 13)C. n ÷ 4 + 13D. (n + 13) ÷ 4

13.

The club's sales expression is 2n + 4p + 18. Here n counts bunches of radishes, p counts bags of salad greens, and $18 came from selling squash. Select all statements that correctly identify the expression's parts.

14.

The club splits 2n + 10 jars of jam equally among 4 tables. Write an expression for the number of jars on each table. Then use the words quotient, sum, and term to describe how your expression is built.