Lesson: Applications of Linear Equations

A group of friends are going to a theme park. An adult ticket costs $70 and a child ticket costs $50. There are adults and children in the group, and the total cost for the group’s tickets is $710.

Write an equation connecting and .

Dina is a distance runner and she is helping Nader, her nephew, to train for a race. Dina can maintain a speed of m/s and Nader can maintain a speed of m/s.

Dina gives Nader a 100-meter head start. They start running at the same time and she overtakes Nader after 50 seconds. Write an equation for in terms of .

Write an equation that describes the statement “The value of is the same as when 7 is added to four times and the result is multiplied by 4.”