IXL | Identify equivalent linear expressions: word problems

For a class project, Elijah made a square-shaped model of the park near his house. Each side of his model is x inches long.

Pick all the expressions that represent the perimeter of Elijah's model.

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Learn with an example

question

Emilia is hosting a movie marathon over the weekend. There will be p people at the party altogether. Emilia 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.

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

2.50

(

)

1.50

(

)

2.50

1.50

4.00

(

2.50

1.50

)

solution

You can find how much money Emilia will spend in more than one way.

One way:
Add the amount Emilia will spend on cheese popcorn to the amount she will spend on gummy worms.

Emilia will spend
2.50p
dollars on cheese popcorn. Multiply the cost of each bag of cheese popcorn, $2.50, by the number of people,
p.
Emilia will spend
1.50p
dollars on gummy worms. Multiply the cost of each pack of gummy worms, $1.50, by the number of people,
p.

So,

2.50

1.50

is one way to find how much money Emilia will spend on cheese popcorn and gummy worms.

A second way:
Multiply the combined cost of a bag of cheese popcorn and a pack of gummy worms by the number of people.

The combined cost of a bag of cheese popcorn and a pack of gummy worms is
$4.00.
Add the cost of a bag of cheese popcorn, $2.50, to the cost of a pack of gummy worms, $1.50.
There will be p people at the party.

So,

4.00

is one way to find how much money Emilia will spend on cheese popcorn and gummy worms.

A third way:
Add the cost of a bag of cheese popcorn to the cost of a pack of gummy worms. Then, multiply that by the number of people.

A bag of cheese popcorn costs
$2.50.
A pack of gummy worms costs
$1.50.
There will be p people at the party.

So,

(

2.50

1.50

)

is one way to find how much money Emilia will spend on cheese popcorn and gummy worms.

Notice that the correct answers are equivalent expressions:

2.50
p
+
1.50
p
4.00
p
p
(
2.50
+
1.50
)

The other answer choice is not equivalent to these.

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Lesson: Equivalent expressions

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L.8Identify equivalent linear expressions II

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