Addison pays for a total of 36 kilowatts of power for a month of running 4 televisions and 4 refrigerators. The next month she uses a total of 22 kilowatts for 2 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. \(Televisions \, use \, 5 \, kilowatts, \, \\ \, while \, refrigerators \, use \, 4 \, kilowatts.\)

\(Televisions \, 5 \, kW,\\ \, Refrigerators \, 4 \, kW.\)

\(Televisions \, 8 \, kW, \, \\ \, Refrigerators \, 7 \, kW.\)

\(Televisions \, 7 \, kW,\\ \, Refrigerators \, 3 \, kW.\)

\(Televisions \, 5 \, kW,\\ \, Refrigerators \, 4 \, kW.\)

\(Televisions \, 2 \, kW, \, \\ \, Refrigerators \, 6 \, kW.\)

Hailey teaches both a morning and an evening math class. On the midterm 2 morning students wrote it as well as 5 evening students. A sum of all their marks gave a grand total of 20. For the final there was a grand total of 23 marks, but it was written by 3 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. \(Morning \, class \, has \, an \, average \, of \, 5, \, \\ \, but \, the \, evening \, class \, has \, an \, average \, of \, 2.\)

\(Morning \, average: \, 5 \, \\ \, Evening \, average: \, 2\)

\(Morning \, average: \, 4 \, \\ \, Evening \, average: \, 4\)

\(Morning \, average: \, 5 \, \\ \, Evening \, average: \, 2\)

\(Morning \, average: \, 6 \, \\ \, Evening \, average: \, 5\)

\(Morning \, average: \, 8 \, \\ \, Evening \, average: \, 3\)

Benjamin is playing Zombie Saloon and in a single round he kills 4 zomblets (mini zombies), and 5 zomblers (monster zombies). Benjamin gets a total score of 23 in the first round. In the second round Benjamin receives 10 points in total for killing 2 zomblets and 2 zomblers. Find out how many points zomblets and zomblers are worth each. Write a system of equations to describe the situation below, solve using elimination. \(Zomblets \, are \, worth \, 2 \, points \, \\ \, and \, zomblers \, are \, worth \, 3 \, points.\)

\(Zomblets: \, 2 \, \\ \, Zomblers: \, 3\)

\(Zomblets: \, 4 \, \\ \, Zomblers: \, 2\)

\(Zomblets: \, 2 \, \\ \, Zomblers: \, 3\)

\(Zomblets: \, 3 \, \\ \, Zomblers: \, 6\)

\(Zomblets: \, 5 \, \\ \, Zomblers: \, 4\)

Solve a System of Equations Using Elimination - Grade 8

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Grade 8 - Expressions & Equations

Standard 8.EE.C.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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