Your teacher will give you either a problem card, or a data card. Do not show or read your card to your partner.

For each situation:

• Create a system of equations.
• Then, without solving, interpret what the solution to the system would tell you about the situation.

1. Lin’s family is out for a bike ride when her dad stops to take a picture of the scenery. He tells the rest of the family to keep going and that he’ll catch up. Lin's dad spends 5 minutes taking the photo and then rides at 0.24 miles per minute until he meets up with the rest of the family further along the bike path. Lin and the rest were riding at 0.18 miles per minute.
2. Noah is planning a kayaking trip. Kayak Rental A charges a base fee of $15 plus $4.50 per hour. Kayak Rental B charges a base fee of $12.50 plus $5 per hour.
3. Diego is crafting items in a video game. The crafting recipe calls for 3 pieces of wood for every piece of metal. Diego’s character uses 52 item slots of wood and metal crafting materials while making the items.
4. Sunflower seeds for birds cost $2.50 per pound and a generic birdseed costs $1.25 per pound. An order of some of each type of bird seed weighs 15 pounds and costs $25.00.

Here are a lot of systems of equations:

1. Without solving, identify 3 systems that you think would be the least difficult for you to solve and 3 systems you think would be the most difficult. Be prepared to explain your reasoning.
2. Choose 4 systems to solve. At least one should be from your "least difficult" list and one should be from your "most difficult" list.