Write a system of equations to describe the situation below and solve using elimination. Over the last two months Samantha has been keeping track of how many cuts and colors she has done at the salon. The first month she did 2 cuts and 5 colors and made $\$16$. The following month she made $\$17$ by doing 3 cuts and 4 colors. How much does a cut and a color cost at Samantha's salon? $Samantha \, charge \, \$3 \, for \, haircut \, \\ \, and \, \$2 \, for \, a \, coloring.$

$\$3 \, haircut, \, \\ \, \$2 \, coloring.$

$\$2 \, haircut, \, \\ \, \$4 \, coloring.$

$\$6 \, haircut, \, \\ \, \$3 \, coloring.$

$\$3 \, haircut, \, \\ \, \$2 \, coloring.$

$\$5 \, haircut, \, \\ \, \$5 \, coloring.$

Savannah pays for a total of 29 kilowatts of power for a month of running 3 televisions and 4 refrigerators. The next month she uses a total of 27 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. $Televisions \, use \, 3 \, kilowatts, \, \\ \, while \, refrigerators \, use \, 5 \, kilowatts.$

$Televisions \, 3 \, kW,\\ \, Refrigerators \, 5 \, kW.$

$Televisions \, 2 \, kW, \, \\ \, Refrigerators \, 3 \, kW.$

$Televisions \, 4 \, kW, \, \\ \, Refrigerators \, 8 \, kW.$

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

Darren is playing Zombie Saloon and in a single round he kills 3 zomblets (mini zombies), and 5 zomblers (monster zombies). Darren gets a total score of 30 in the first round. In the second round Darren receives 34 points in total for killing 5 zomblets and 3 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. $Zomblets \, are \, worth \, 5 \, points \, \\ \, and \, zomblers \, are \, worth \, 3 \, points.$

$Zomblets: \, 5 \, \\ \, Zomblers: \, 3$

$Zomblets: \, 4 \, \\ \, Zomblers: \, 2$

$Zomblets: \, 6 \, \\ \, Zomblers: \, 4$

$Zomblets: \, 7 \, \\ \, Zomblers: \, 6$

$Zomblets: \, 5 \, \\ \, Zomblers: \, 3$

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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