In a fantastical sport that Kevin plays, he can get 5 short shots and 4 long shots for a total of 33 points. In another games he gets a total of 14 points with 2 short shots and 2 long shots. How much is each type of shot worth? Write a system of equations to describe the situation below and solve using elimination. $Long \, shots \, are \, worth \, 2, \, \\ \, and \, short \, shots \, are \, worth \, 5.$

$Long \, shots: \, 2 \, \\ \, Short \, shots: \, 5$

$Long \, shots: \, 5 \, \\ \, Short \, shots: \, 3$

$Long \, shots: \, 2 \, \\ \, Short \, shots: \, 5$

$Long \, shots: \, 3 \, \\ \, Short \, shots: \, 4$

$Long \, shots: \, 4 \, \\ \, Short \, shots: \, 8$

Every day Joseph's mom goes to the store and buys apples and oranges. Yesterday she bought 3 apples and 4 oranges for $\$20$. Then today she returned home with 4 apples and 5 oranges for $\$26.$ Assuming the price doesn't change, how much do apples and oranges cost? $Apples \, cost \, \$4, \, \\ \, and \, oranges \, cost \, \$2.$

$\$4 \, per \, Apple, \, \\ \, \$2 \, per \, Orange$

$\$2 \, per \, Apple, \, \\ \, \$5 \, per \, Orange$

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

$\$5 \, per \, Apple, \, \\ \, \$3 \, per \, Orange$

$\$4 \, per \, Apple, \, \\ \, \$2 \, per \, Orange$

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. $Televisions \, use \, 5 \, kilowatts, \, \\ \, while \, refrigerators \, use \, 4 \, kilowatts.$

$Televisions \, 5 \, kW,\\ \, Refrigerators \, 4 \, kW.$

$Televisions \, 8 \, kW, \, \\ \, Refrigerators \, 7 \, kW.$

$Televisions \, 7 \, kW,\\ \, Refrigerators \, 3 \, kW.$

$Televisions \, 5 \, kW,\\ \, Refrigerators \, 4 \, kW.$

$Televisions \, 2 \, kW, \, \\ \, Refrigerators \, 6 \, kW.$

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Algebra

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Iowa Core Mathematics

Grade 8 - Expressions & Equations

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

Included Skills: Algebra

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