Ashley pays a total of $\$35$ for 4 away flights and 5 return flights. The next year she pays $\$27$ for 3 return flights and 4 away flights. How much does an away flight cost, and how much does a return flight cost? Write a system of equations to describe the situation below, solve using elimination. $An \, away \, flight \, costs \, \$5, \, \\ \, while \, a \, return \, flight \, costs \, \$3.$

$\$5 \, per \, away \, flight, \, \\ \, \$3 \, per \, return \, flight.$

$\$4 \, per \, away \, flight, \, \\ \, \$6 \, per \, return \, flight.$

$\$7 \, per \, away \, flight, \, \\ \, \$4 \, per \, return \, flight.$

$\$2 \, per \, away \, flight, \, \\ \, \$2 \, per \, return \, flight.$

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? $Samantha \, charge \, \$3 \, for \, haircut \, \\ \, and \, \$2 \, for \, a \, coloring.$

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

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

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

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

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

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. $Zomblets \, are \, worth \, 2 \, points \, \\ \, and \, zomblers \, are \, worth \, 3 \, points.$

$Zomblets: \, 2 \, \\ \, Zomblers: \, 3$

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

$Zomblets: \, 2 \, \\ \, Zomblers: \, 3$

$Zomblets: \, 3 \, \\ \, Zomblers: \, 6$

$Zomblets: \, 5 \, \\ \, Zomblers: \, 4$

Math Games

Algebra

Create Assignment Create Assessment

Kentucky Mathematics Curriculum

Grade 8 - Expressions & Equations

Standard 8.EE.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.