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Today’s Lesson:

Today’s Lesson:. What: Linear Equations (Functions) Why: To create a table, given a linear equation, and to graph the result on the coordinate plane. Just plug in the “x” values!. What is it?:. Just plug in the “x” values!.

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Today’s Lesson:

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  1. Today’s Lesson: What: Linear Equations (Functions) Why: To create a table, given a linear equation, and to graph the result on the coordinate plane. Just plug in the “x” values!

  2. What is it?: Just plug in the “x” values! Linear Equation-- equation with ________ different variables and neither variable contains an exponent greater than 1. For example: y= 3x + 2 2

  3. examples: Just plug in the “x” values! 1 y = 2 (-1) – 1 y = -2 – 1 y = -3 -3 -1 y = 2 (0) – 1 y = 0 – 1 y = -1 y = 2 (1) – 1 y = 2 – 1 y = 1 1 y = 2 (2) – 1 y = 4 – 1 y = 3 3

  4. 7 8 2 9 10

  5. 20 14 3 8 2

  6. -5 -4 4 -3 -2

  7. There is an ___________________ number of answers to a linear equation!! infinite Why?? BECAUSE we can input ANY number for the x variable. Since we can never run out of numbers, there is NO LIMIT to the amount of possible answers to a linear equation!!

  8. 5 5 4

  9. If you aren’t given a table, make your own!!! Solve: y = 3x - 2 6

  10. Remember, every input /output (x,y) combo represents a ____________ on the coordinate plane! point 7 8 5 2 -1 Notice the straight line!! It’s no surprise that a linear equation graphs as a straight line!

  11. END OF LESSON The next slides are student copies of the notes for this lesson. These notes were handed out in class and filled-in as the lesson progressed. NOTE: The last slide(s) in any lesson slideshow (entitled “Practice Work”) represent the homework assigned for that day.

  12. NAME: DATE: ______/_______/_______ Math-7 NOTES What: Linear Equations (Functions) Why: To create a table, given a linear equation, and to graph the result on the coordinate plane. Linear Equation-- equation with ________ different variables and neither variable contains an exponent greater than 1. For example: y= 3x + 2 Just plug in the “x” values! Examples: y = 2 (-1) – 1 y = -2 – 1 y = -3 1 3 2 4 y = 2 (0) – 1 y = 0 – 1 y = -1 y = 2 (1) – 1 y = 2 – 1 y = 1 y = 2 (2) – 1 y = 4 – 1 y = 3

  13. There is an _________________ number of answers to a linear equation!! If you aren’t given a table, make your own!!! Solve: y = 3x - 2 5 7 6 Remember, every input/output (x,y) combo represents a _______________ on the coordinate plane! Solve AND Graph:

  14. NAME:________________________________________________________________________________ DATE: _____/_____/__________ Math-7 PRACTICE/ Homework “Linear functions ” Solve: 1) 2) 3) 4) Solve (Make your own table, and choose your own x values): 5) y = -8x 6) y = -4x - 1

  15. Solve (be careful– plug “x” values in exactly where you see “x.” You will then need to solve for “y.” 7) 8) Solve AND Graph: 9) 10)

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