Station 1

At this station, you will find nine index cards.

Each index card represents one step in solving the linear system of equations by substitution.

Shuffle the index cards.

Work together to arrange the index cards in the correct order of solving the following system of linear equations by substitution:

List the steps below.

1.

2.

3.

4.

5.

6.

7.

8.

9.

10. What strategy did you use to find the order of the steps?

Station 2

At this station, you will find eight index cards.

Each index card represents a step in solving a system of linear equations. Shuffle the index cards.

Work as a group to arrange the index cards in the correct order to solve the following system of linear equations:

Write the steps on the lines below.

1.

2.

3.

4.

5.

6.

7.

8.

9. What strategy did you use to arrange the index cards?

Station 3

You are navigating a battle ship during war games. Your course will take across several enemy shipping lanes. Your mission is to lay mines at the points where the enemy lanes intersect. The enemy shipping lanes are represented by the following equations. At what points do your mines need to be placed? Explain the method(s) you used to find your answer.

  • Enemy Lane 1: x – y = 4
  • Enemy Lane 2: 3x – y = 10
  • Enemy Lane 3: x – 2y = -2

Station 4

You are planning your vacation and are going to rent a bike for the trip. The Green Bicycle Company charges $20 plus $10 per day to rent a bicycle. The Blue Bicycle Company charges $30 plus $8 per day.

You are going to rent your bike for 7 days. Your sister will only be renting hers for 4 days. Where should you and your sister rent to get the best prices on renting a bike? Explain.

What will be your total charge to rent the bike? What will be your sister’s total charge to rent the bike? Justify your answer.

Station 5

Two Job Offers

You have been offered a job marketing medical products. The company has two salary plans. Plan A pays amonthly salary of $700 plus a commission of $50 for each medical product you sell. Plan B pays a monthlysalary of $500 plus a commission of $70 for each product sold. Analyze the income for the two plans. Which salary plan should you choose?

Station 6

Selling Lemonade

Your younger sister wants to earn money by selling lemonade. The cost of starting the business is $1.20. The cost to make the lemonade is $.06 per cup. She sells the lemonade for $.25 per cup. How many cups of lemonade must she sell before making a profit?

Station 7

At this station, you will find six index cards.

Shuffle the cards and place them face-down. As a group, read the following real-worldproblem scenario:

For a school fund-raiser, students sold T-shirts with the school logo for $14. They sold sweatshirts with the school logo for $20. They sold 233 pieces of clothing and raised $3,748. How many of each type of shirt did they sell at the fund-raiser?

  • Let x = the number of T-shirts sold.
  • Let y = the number of sweatshirts sold.

Flip over the index cards. Work together to find the two equations that represent the system ofequations for this real-world application.

  1. Write the system of linear equation.
  2. Explain why you chose each equation.
  3. Solve the system of linear equations by either substitution or elimination.
  4. How many T-shirts were sold?
  5. How many sweatshirts were sold?

Station 8

A baker sells plain cakes for $7 and decorated cakes for $11. On a busy Saturday the baker started with120 cakes, and sold all but three. His takings for the day were $991.

How many plain cakes did he sellthat day, and how many were decorated before they were sold?

Extra Station

Ed and Glenda’s Road Trip

Mr. Ed and Ms. Glenda are both taking road trips to LA. Mr. Ed (in his green Toyota) started 50 miles fromSan Jose and drives at an average speed of 30 mph. Ms. Glenda (in her pink Chevy) started 10 miles from

San Jose and drives at an average speed of 40 mph. It is 340 miles from San Jose to LA. Create a data table, make a graph, and write equations.

Use the table, graph and equations to answer the following questions.

a. Who will get to LA first? How do you know?

b. When will their cars be next to each other on the freeway? How can you tell?

c. How far from San Jose will they be when they meet?

Sec