1. 7.3 – 7.4 Solve Linear Systems Algebraically Word Problems
Essential Question: How do you solve a system of linear equations algebraically?

2. Class Trip The class president is organizing a class trip to a nearby amusement park for 314 students. The regular price is $35 per ticket. However, some students can receive a discount due to volunteer community service work that they took part in on Saturdays. The students who are eligible for the discount will pay $ The total cost for the class trip will be $10,072. How many students are eligible for the discount?

3. Pizza Party You want to have a pizza party for some friends and family
Pizza Party You want to have a pizza party for some friends and family. You have $48 budgeted for the pizza and plan on having 56 pieces available. A large pizza has 16 pieces and costs $14. A medium pizza has 12 pieces and costs $10. How many large and medium pizzas do you need to buy?

4. Car Wash The owner of a car wash combines x gallons of a 2% liquid soap and 98% water mix with y gallons of a 7% liquid soap and 93% water mix to make 500 gallons of a 5% liquid soap and 95% water mix. How many gallons of each type of soap did the owner use?

5. Snack Mix A clerk mixes a 10-pound bag of nuts for a customer
Snack Mix A clerk mixes a 10-pound bag of nuts for a customer. Peanuts cost $5.70 per pound and cashews cost $8.70 per pound. The total comes to $ How many pounds of peanuts and how many pounds of cashews are in the mix?

6. Hair Salon A hair salon receives a shipment of 84 bottles of hair conditioner to use and sell to customers. The two types of conditioners received are type A, which is used for regular hair, and type B, which is used for dry hair. Type A costs $6.50 per bottle and Type B costs $8.25 per bottle. The hair salon’s invoice for the conditioner is $588. How many of each type of conditioner are in the shipment?

7. Birthday Gift You and your sister decide to combine your weekly overtime earnings to buy a birthday gift for your mother. Your overtime rate is $18 per hour and your sister’s overtime rate is $24 per hour. The total amount earned for the gift was $288. If you worked two more hours of overtime than your sister, how many overtime hours did each of you work?

8. Soccer A sports equipment store is having a sale on soccer balls
Soccer A sports equipment store is having a sale on soccer balls. A soccer coach purchases 10 soccer balls and 2 soccer ball bags for $155. Another soccer coach purchases 12 soccer balls and 3 soccer ball bags for $189. Find the cost of a soccer ball and the cost of a soccer ball bag.

9. How do you solve a system of linear equations algebraically?