Question: At first a runner jogs at 5 mph and then jogs at 8 mph traveling 7 miles in 1.1 hours. How long does the runner

  1. At first a runner jogs at 5 mph and then jogs at 8 mph traveling 7 miles in 1.1 hours. How long does the runner jog at each speed. (Hint: Lettrepresent the amount of time the runner jogs at 5 mph. Then 1.1 -trepresents the amount of time the runner jogs at 8 mph.) Set up an equation for distance at 5 mph + distance at 8 mph = 7miles.

2. A. What makes an equation a linear equation?

2B. What are four steps in solving a linear equation? Give an example of solving an equation.

2C. Give an example of solving an equation using the distributive property.

3. Show how to solve the formula A = 1/2 bh for h.

4. What differences are there in solving a linear equation and a linear inequality? When do you reverse the inequality sign?

Solve showing your work:

a)x + 5 > 8b) -5/7x<25c) 3x>-2(1-2x) +3

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