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Applying Linear Systems

In this unit, we will tackle real-world problems involving linear systems, focusing on concert ticket sales and investment scenarios. Learn to write equations based on the total number of tickets sold and associated sales revenue, as well as investment interest rates. We will solve these systems both graphically and algebraically to find the number of main-floor and upper-level tickets sold, as well as the amounts invested at different interest rates. Engage with practice worksheets to solidify your understanding!

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Applying Linear Systems

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  1. Applying Linear Systems Math 8: Unit 3 Mrs. Tyrpak

  2. Solve graphically and algebraically Tickets for a concert are $40 for main-floor seats and $25 for upper-level seats. A total of 2000 concert tickets were sold. The ticket sales were $62,000. Let m represent the number of main-floor tickets and u the number of upper-level tickets.

  3. Step 1: Write equations • Write an equation about the total number of tickets sold. • Write an equation about the ticket sales.

  4. Step 2: Solve Solve the system to find how many main-floor tickets were sold and how many upper-level tickets were sold.

  5. Problem #2 Jan invested some money at 7% interest and $500 more than that at 9% interest. The total interest earned in 1 year was $141. How much did she invest at each rate? Solve algebraically.

  6. Step #1: Write equations 1. 2.

  7. Step #2: Solve system

  8. Keep up the GREAT work! Don’t forget to complete your practice and application worksheets. We are beginning to work more algebraically so check your work when possible 

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