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? $Apples \, cost \, \$4, \, \\ \, and \, oranges \, cost \, \$2.$

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

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

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

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

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

Every day Cameron's mom goes to the store and buys apples and oranges. Yesterday she bought 3 apples and 4 oranges for $\$31$. Then today she returned home with 2 apples and 3 oranges for $\$22.$ Assuming the price doesn't change, how much do apples and oranges cost? $Apples \, cost \, \$5, \, \\ \, and \, oranges \, cost \, \$4.$

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

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

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

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

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

Write a system of equations to describe the situation below and solve using elimination. Over the last two months Michael has been keeping track of how many cuts and colors he has done at the salon. The first month he did 5 cuts and 5 colors and made $\$30$. The following month he made $\$20$ by doing 4 cuts and 2 colors. How much does a cut and a color cost at Michael's salon? $Michael \, charge \, \$4 \, for \, haircut \, \\ \, and \, \$2 \, for \, a \, coloring.$

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

$\$6 \, haircut, \, \\ \, \$5 \, coloring.$

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

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

$\$3 \, haircut, \, \\ \, \$4 \, coloring.$

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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