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Systems of Equations Substitution

math 8<br>middle school<br>pre algebra<br>

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Systems of Equations Substitution

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  1. TUESDAY, February 1st Outcome: Agenda To Do List: I can solve systems of equations using substitution Sharpen pencils Substitution Intro Video Notes & Examples Independent Practice Time Copy Agenda Homework Complete the Warm-Up Delta HW #1 due by 02/06 Quiz #1 -Substitution & Graphing on Friday

  2. Name–_____________________________ Solving Systems of Equations by Graphing Warm-Up Solution: _______________ Solution: _______________ Solution: _______________

  3. 1. Solution: (4,-3)

  4. 2. Solution: (2,2)

  5. 3. y = -2x+2 y = -2x-2 Notice that the slopes are the same and the y-intercepts are different. The lines will be parallel and there is no solution.

  6. Solving Systems with the Substitution Method

  7. What’s j? A + B = C D x B = A A + D = E D + D = A A + F = G E / F = E A - H = A I + I = FH

  8. Click here to watch a video on one type of substitution problem. Math 8 - Only use examples #1 and #2!! Systems of Equations - Substitution

  9. Substitution Method to Solve Systems of Equations • use when #s are very big and won't fit on the graph • use when the lines do not intersect exactly on a grid point Example 1 y= 3x + 42 y= -4x -14 Example 2 y= 2x + 15 y= -3x - 24

  10. y= 3x + 42 y= -4x -14

  11. y= 3x + 42 y= -4x -14 y = y 3x + 42 = -4x - 14 +4x +4x add 4x to both sides 7x + 42 = -14 simplify -42 -42 subtract 42 from both sides 7x = -56 simplify x = -8 divide each side by 7 Plug x into either equation to find y. y = 3(-8) +42 y = -24 + 42 y = 18 Solution (-8, 18)

  12. y= 2x + 15 y= -3x -24

  13. y= 2x + 15 y= -3x - 20

  14. y= 2x + 15 y= -3x - 20 y = y 2x + 15 = -3x - 20 +3x +3x add 3x to both sides 5x + 15 = -20 simplify -15 -15 subtract 15 from both sides 5x = - 30 simplify x = -7 divide both sides by 5 Plug x into either equation to find y. y = -3(-7) -20 y = 21 - 20 y = 1 Solution (-7, 1)

  15. Substitution Practice Time!!! Systems of Equations - Substitution

  16. Practice: Substitution Level 1 (Level A) Name: Date: Pd: Solve each using the Substitution Method. Show your work!! y = -4x + 47 y = 8x - 49

  17. Practice: Substitution Level 1 (Level A) Name: Date: Pd: Solve each using the Substitution Method. Show your work!! y = -4x + 47 y = 8x - 49

  18. Practice: Substitution Level 1 (Level B) Name: Date: Pd: Solve each using the Substitution Method. Show your work!!

  19. Practice: Substitution Level 1 Name: Date: Pd: Solve each using the Substitution Method. Show your work!!

  20. Practice worksheet: System of Equations Substitution Pixel Art Click here to open Today do only #4, 5, 7, 9

  21. Ex. 1 y= 6x -14 y= -8x

  22. Ex. 2 y= 2x -15 y= 5x

  23. Ex. 3 y= 2x +3 y= 4x -1

  24. Ex. 4 y= 5x +17 y= x -3

  25. Standard Deviants Teaching Systems:(6:23) Systems of Equations

  26. (2, 7) (4, 7)

  27. Wednesday, February 2nd Outcome: Agenda To Do List: I can solve systems of equations using substitution Sharpen pencils Substitution Practice Blooket DeltaMath Time Copy Agenda Homework Complete the Warm-Up Delta HW #1 due by 02/06 Quiz #1 -Substitution & Graphing on Friday

  28. Name- ______________________ Systems of Equations -Substitution Directions: Choose any 3 of the 4 problems below to solve. You must show all your work. Solution: (___,____) Solution: (___,____) **challenge** Solution: (___,____) Solution: (___,____)

  29. Answer Key Name- ______________________ Systems of Equations -Substitution Directions: Choose any 3 of the 4 problems below to solve. You must show all your work. y = 3x y = 3 (-1) y = -3 3x = -5x - 8 +5x = +5x 8x = -8 8 8 x = -1 -2 = 4x + 6 -6 = - 6 -8 = 4x 4 4 -2 = x Solution: (-1,-3) Solution: (-2, -2) y = -x + 5 y = - (3) +5 y = -3 + 5 y = 2 y = 2x -7 y = 2(2) -7 y = -3 Rewrite y = -x +5 -4x + 5 = 2x - 7 -2x = -2x -6x +5 = -7 -5 = -5 -6x = -12 -6 = -6 x = 2 2x + 3y= 12 2x + 3(-x +5) =12 2x -3x +15 = 12 -x -15 = 12 -15 -15 -x = -3 -1 -1 X = 3 Solution: (2,-3) Solution: (3,2)

  30. Click here to watch a video on other types of substitution problems. Math 8 - Only use examples #1 and #2!! Systems of Equations - Substitution

  31. Let’s Practice 3x + 2y = 1 x = 5y + 6

  32. Let’s Practice 3x + 2y = 1 x= 5y + 6

  33. Let’s Practice y = 7x -4x +2y = -30

  34. Let’s Practice y=7x -4x +2y = -30

  35. Systems of Equations (Substitution) Substitution Method: The substitution method is the process of replacing one variable with an equivalent expression containing the other variable & solving for the variable(s). The answer is an ordered pair (x, y) unless a unique solution is the answer. (revised duplicate of anna.ramirez) hjones

  36. Solving Systems of Equations (Graphing & Substitution) Solving Systems by Graphing & Subs https://www.blooket.com/set/5ffdf22233d04200042f750f

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