7.4 Linear Systems and Problem Solving

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Presentation transcript:

7.4 Linear Systems and Problem Solving

Steps for solving word problems: 1. Indicate what each variable stands for. Write a system of 2 equations that can be used to solve the problem. Solve the system. 4. State your solution in sentence form. 5. Check your work in both original equations.

1. You are selling tickets for a high school basketball game 1. You are selling tickets for a high school basketball game. Student tickets cost $3 and general admission tickets cost $5. You sell 350 tickets and collect $1450. How many of each type of ticket did you sell?

State your solution(s): Solve Define variables: System of equations: State your solution(s):

2. Missy Elliot loves to shop at Neiman Marcus 2. Missy Elliot loves to shop at Neiman Marcus. Last Saturday she bought pants and shirts for her new video. Each shirt cost $125 and each pair of pants cost $225. She came home with 26 items and spent exactly $4950. How many pants and shirts did Missy buy?

State your solution(s): Solve Define variables: System of equations: State your solution(s):

3. You are in charge of decorating the gym for the Homecoming dance 3. You are in charge of decorating the gym for the Homecoming dance. You purchased 6 bags of balloons and 5 bags of large sparkling hanging stars all for $19.20. You soon realized that this was not enough to decorate the entire gym. On your second trip to the store, you bought 8 bags of balloons and 2 bags of large sparkling hanging stars all for $15.80. What was the price for each item?

State your solution(s): Solve Define variables: System of equations: State your solution(s):

4. K-Mart had a sale on DVD’s and video tapes for Labor Day weekend 4. K-Mart had a sale on DVD’s and video tapes for Labor Day weekend. Katie bought 2 tapes and 3 DVD’s and spent $134. Emily bought 1 tape and 5 DVD’s and spent $179. How much does each tape and DVD cost?

State your solution(s): Solve Define variables: System of equations: State your solution(s):