Every day Anna's mom goes to the store and buys apples and oranges. Yesterday she bought 3 apples and 4 oranges for $\$32$. Then today she returned home with 2 apples and 3 oranges for $\$23.$ Assuming the price doesn't change, how much do apples and oranges cost? $Apples \, cost \, \$4, \, \\ \, and \, oranges \, cost \, \$5.$

$\$4 \, per \, Apple, \, \\ \, \$5 \, per \, Orange$

$\$3 \, per \, Apple, \, \\ \, \$4 \, per \, Orange$

$\$4 \, per \, Apple, \, \\ \, \$5 \, per \, Orange$

$\$6 \, per \, Apple, \, \\ \, \$3 \, per \, Orange$

$\$7 \, per \, Apple, \, \\ \, \$6 \, per \, Orange$

Alexa pays for a total of 31 kilowatts of power for a month of running 3 televisions and 5 refrigerators. The next month she uses a total of 23 kilowatts for 4 televisions and 3 refrigerators. How many kilowatts a month do televisions and refrigerators use? Write a system of equations to describe the situation below, solve using elimination. $Televisions \, use \, 2 \, kilowatts, \, \\ \, while \, refrigerators \, use \, 5 \, kilowatts.$

$Televisions \, 2 \, kW,\\ \, Refrigerators \, 5 \, kW.$

$Televisions \, 3 \, kW, \, \\ \, Refrigerators \, 3 \, kW.$

$Televisions \, 4 \, kW, \, \\ \, Refrigerators \, 2 \, kW.$

$Televisions \, 5 \, kW,\\ \, Refrigerators \, 8 \, kW.$

$Televisions \, 2 \, kW,\\ \, Refrigerators \, 5 \, kW.$

Isabella teaches both a morning and an evening math class. On the midterm 3 morning students wrote it as well as 2 evening students. A sum of all their marks gave a grand total of 16. For the final there was a grand total of 28 marks, but it was written by 5 morning students and 4 evening students. What is the average mark for both classes? Write a system of equations to describe the situation below, solve using elimination. $Morning \, class \, has \, an \, average \, of \, 4, \, \\ \, but \, the \, evening \, class \, has \, an \, average \, of \, 2.$

$Morning \, average: \, 4 \, \\ \, Evening \, average: \, 2$

$Morning \, average: \, 2 \, \\ \, Evening \, average: \, 5$

$Morning \, average: \, 7 \, \\ \, Evening \, average: \, 4$

$Morning \, average: \, 5 \, \\ \, Evening \, average: \, 3$

Solve a System of Equations Using Elimination - Grade 8

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Grade 8 - Expressions & Equations

Standard 8.EE.8c - Practice solving a system of equations with word problems using the elimination method.

Included Skills:

Analyze and solve pairs of simultaneous linear equations. Solve real-world and mathematical problems leading to two linear equations in two variables.

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