Write And Solve A System Of Equations By Elimination (Word Problems) Practice Problems Online (7.EE.A.1) : 7th grade Math

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Write And Solve A System Of Equations By Elimination (Word Problems)

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#1 of 8: Mild

Write and solve a system of equations by elimination (word problems)

Stephen's dad brought a cooler filled with water bottles to a soccer tournament. There are `30` bottles of water in the cooler. Some bottles contain `8` ounces, and some contain `10` ounces. There are `270` ounces of water all together. How many `8`-ounce bottles and `10`-ounce bottles are in the cooler?

#2 of 8: Medium

Write and solve a system of equations by elimination (word problems)

Opal babysits for several families in her neighborhood. Last week, she babysat for a total of `11.5` hours. She earns `$12` per hour babysitting for a family with two kids. She earns `$9` per hour babysitting for a family with one kid. She earned `$132`. How many hours did Opal spend babysitting two kids and one kid?

#3 of 8: Medium

Write and solve a system of equations by elimination (word problems)

The 6th grade class at Ford Middle School used `3` large buses and `3` small buses to transport `216` students to their end-of-year field day. The 7th grade class used `4` large buses and `1` small bus to transport `252` students. All buses were filled to capacity.How many students can ride in each type of bus?

#4 of 8: Medium

Write and solve a system of equations by elimination (word problems)

Charlotte has `12` coins in her pocket. The coins are all dimes and quarters. The value of the coins is `$1.80`. How many dimes and quarters does Charlotte have in her pocket?

#5 of 8: Medium

Write and solve a system of equations by elimination (word problems)

A company that rents moving trucks charges a certain amount per day and a certain amount per mile. One customer rented a truck for `2` days and drove `20` miles. The total cost was `$64`. Another customer rented a truck for `3` days and drove `60` miles. The total cost for this customer was `$132`. What is the cost of renting a truck for `1` day and the cost per mile?

#6 of 8: Spicy

Write and solve a system of equations by elimination (word problems)

During a trip to the comic store, Izzy bought `3` regular comics and `2` bonus comics. She spent a total of `$20.50`. Maxwell bought `5` regular comics and `1` bonus comic. His total was `$26`. What are the costs of `1` regular comic and `1` bonus comic?

#7 of 8: Spicy

Write and solve a system of equations by elimination (word problems)

Good Juice sells small and large sizes of smoothies, which include different amounts of juice. One morning, they sold `10` small smoothies and `8` large smoothiies, which used a total of `17.5` cups of juice. In the afternoon, they sold `5` small smoothies and `10` large smoothies, using `16.25` cups of juice. How many cups of juice are in each smoothie size?

#8 of 8: Spicy

Write and solve a system of equations by elimination (word problems)

During a project using clay, an art teacher allows her students to make either a cup or a clay whistle. A student making a cup will receive one amount of clay, and a student making a whistle will receive a different amount. In one class, there are `12` students making cups and `10` students making whistles, using `14.5` pounds of clay. In another class, there are `14` students making cups and `5` students making whistles, using `13.25` pounds of clay. How much clay is used to create `1` cup or `1` clay whistle?

In 8th Grade, solving the system of equations by different methods is an important skill to develop. These practice problems can help students to understand how to write the system of equations from verbal descriptions. “Write and solve a system of equations by elimination (word problems) practice problems” can be a good tool to overcome misconceptions.

For example, if we know the prices of two items and their total cost, we can set up a system of equations to find the individual prices of the items.

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Grade 8

Systems Of Equations

8.EE.C.8.C