Olivia is hosting a movie marathon over the weekend. There will be $p$ people at the party altogether. Olivia estimates she'll need one bag of cheese popcorn and one pack of gummy worms per person. A bag of cheese popcorn costs $\$2.50$ , and a pack of gummy worms costs $\$1.50$ . $\newline$ Pick all the expressions that represent how much money Olivia will spend on cheese popcorn and gummy worms. $\newline$ Multi-select Choices: $\newline$ (A) $2.50(p + 1) + 1.50(p + 1)$ $\newline$ (B) $2.50p + 1.50p$ $\newline$ (C) $4.00p$ $\newline$ (D) $p(2.50 + 1.50)$

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Grade 7

Identify equivalent linear expressions: word problems

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Q. Olivia is hosting a movie marathon over the weekend. There will be

p

people at the party altogether. Olivia estimates she'll need one bag of cheese popcorn and one pack of gummy worms per person. A bag of cheese popcorn costs

\$2.50

, and a pack of gummy worms costs

\$1.50

\newline

Pick all the expressions that represent how much money Olivia will spend on cheese popcorn and gummy worms.

\newline

Multi-select Choices:

\newline

(A)

2.50(p + 1) + 1.50(p + 1)

\newline

(B)

2.50p + 1.50p

\newline

(C)

4.00p

\newline

(D)

p(2.50 + 1.50)

Calculate Cost of Cheese Popcorn: Calculate the cost of cheese popcorn for $p$ people. Cost of cheese popcorn = $\$(2.50)$ per person * $p$ people = $\$(2.50p)$
Calculate Cost of Gummy Worms: Calculate the cost of gummy worms for $p$ people. $\newline$ Cost of gummy worms = $\$(1.50)$ per person $*$ $p$ people = $\$(1.50p)$
Find Total Cost: Add the costs to find the total cost Olivia will spend. $\newline$ Total cost = $\$2.50p + \$1.50p = \$4.00p$
Check Given Expressions: Check the expressions given in the choices to see which match the total cost. $\newline$ (A) $2.50(p + 1) + 1.50(p + 1) = 2.50p + 2.50 + 1.50p + 1.50 = 4.00p + 4.00 \neq 4.00p$ $\newline$ (B) $2.50p + 1.50p = 4.00p$ $\newline$ (C) $4.00p = 4.00p$ $\newline$ (D) $p(2.50 + 1.50) = p(4.00) = 4.00p$