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Do Now

Learn how to solve linear systems using graphing and apply the concept to word problems involving perimeter and ticket sales. Review key concepts from sections 5.1-5.4 and practice solving various systems.

williamcampbell
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Do Now

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  1. Do Now • What is a linear system? • What does a solution look like? • What are the three ways in which we can solve linear systems?

  2. Review 5.1-5.4

  3. Solve by Graphing 2y – 4x = 4 y + x = - 1

  4. Solve by Graphing y = 1 y = 2x + 1

  5. Solve by Graphing

  6. Summary

  7. Solve the system x = y + 4 2y + x = 19

  8. Solve the System 2x + y = -10 3x – y = 0

  9. Solve the System 2x – 3y = -5 5x + 2y = 16

  10. Solve the System x – y = 1 x – y = 6 6x + 2y = 16 2x – y = 2 3x – 3y = -2 -6x + 6y = 4

  11. What does one solution look like on a graph? Comment on the slope and y-intercept as well. • What does infinitely many solutions look like? Comment on the slope and y-intercept as well. • What does no solution look like? Comment on the slope and y-intercept as well.

  12. The perimeter of a rectangular picture frame is 62 inches. The difference of the length of the frame and twice its width is 1. What are the length and width of the frame?

  13. You are selling tickets for a high school play. Student tickets cost $4 and general admission tickets cost $6. You sell 525 and collect $2876. How many of each type of ticket did you sell?

  14. Closing: • What do you need to know for the test?

  15. Word Problem A store is selling cd’s for $10.50 and $8.50. You buy 10 discs and spend a total of $93. Write a linear system representing the situation. Solve the system to find out how many of each cd you bought.

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