Download
11 26 18 n.
Skip this Video
Loading SlideShow in 5 Seconds..
11.26.18 PowerPoint Presentation

11.26.18

126 Views Download Presentation
Download Presentation

11.26.18

- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

  1. 11.26.18 No Bell ringer today: Get ready to Take notes. Learning Target I can solve a system of equations algebraically by substitution.

  2. AGENDA ~Systems by Substitution Notes ~Practice  ~IXL

  3. Sometimes, graphing is not the best method to solve a system. What’s the sol?

  4. Sometimes, graphing is not the best method to solve a system. What’s the sol?

  5. When we need a precise measurement, or the graph isn’t a whole number, we can use the SUBSTITUTION method to solve systems.

  6. Solving Systems of Equations by SUBSTITUTION Think “Substitute teacher” or subbing in a second string player for a hurt starter. One takes the place of the other.

  7. Ex 1 When you Know x or y Value-halfway there!

  8. Ex 1 When you Know x or y Value-halfway there!

  9. Ex 2 y = -2 4x – 3y = 18

  10. Ex 2 y = -2 4x – 3y = 18

  11. What if the SUB is not just a number?

  12. Ex3- When you Don’t know y’s value, But you CAN substitute 2x

  13. Ex3- When you Don’t know y’s value, But you CAN substitute 2x

  14. Practice: #1-4 Show all work on your paper. X=? One term for y

  15. SUBSTITUTION Let’s say we have two equations, both equal to 5.

  16. SUBSTITUTION Is it true that 7-2 is the same as 1(5)? We will be working from this simple example.

  17. Solving Systems of Equations by SUBSTITUTION Since y equals “x-3” and y also Equals “2x” we can say x-3=2x, just like we did with 7-2=5(1)

  18. Solving Systems of Equations by SUBSTITUTION Now solve for “x”

  19. Solving Systems of Equations by SUBSTITUTION -x -x -3 = x Now solve for “x”

  20. Solving Systems of Equations by SUBSTITUTION Since we know x, substitute into one of the equations to find “y” -x -x -3 = x

  21. Solving Systems of Equations by SUBSTITUTION -x -x -3 = x Solution (-3,-6) y = -6

  22. CHECKING: Solution (-3,-6) -6 true true

  23. Solution (-3,-6) -6 true true We just used SUBSTITUTION to solve the system. This example is also the TRANSITIVE PROPERTY.

  24. Ex 4

  25. Ex 4

  26. Practice 2. 1. 2

  27. Reflection on Padlet Post a picture of a real-world situation that requires a substitute be unique-if it is already posted, or given in class, it isn't an option. Then, IXL AA.8 to an 85% https://padlet.com/poolec/subs2nd

  28. GEOME-TREE!  Review for Semester Test. Choose from the following categories: EQUATIONS SLOPE-INTERCEPT PYTHAGOREAN THEOREM RATIONAL/IRRATIONAL