~ 5.15 ~

Learning Targets

• I can solve equations that include rational numbers and have rational solutions.

The variables a through h all represent different numbers. Mentally find numbers that make each equation true.

The Hiking Club is on a trip to hike up a mountain.

1. The members increased their elevation 290 feet during their hike this morning. Now they are at an elevation of 450 feet.

   1. • Explain how to find their elevation before the hike.

      • Han says the equation e + 290 = 450 describes the situation. What does the variable e represent?

      • Han says that he can rewrite his equation as e = 450 + ( -290) to solve for e. Compare Han's strategy to your strategy for finding the beginning elevation.

2. The temperature fell 4 degrees in the last hour. Now it is 21 degrees. Write and solve an equation to find the temperature it was 1 hour ago.

3. There are 3 times as many students participating in the hiking trip this year than last year. There are 42 students on the trip this year.

   1. • Explain how to find the number of students that came on the hiking trip last year.

      • Mai says the equation 3s = 42 describes the situation. What does the variable s represent?

      • Mai says that she can rewrite her equation as s = ⅓ • 42 to solve for s. Compare Mai's strategy to your strategy for finding the number of students on last year’s trip.

4. The cost of the hiking trip this year is ⅔ of the cost of last year's trip. This year's trip cost $32. Write and solve an equation to find the cost of last year's trip.

Check Google Classroom!