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System of Equations Review Day (Graphing & Substitution)

8th grade math<br>powerpoint practice problems<br>pre-algebra

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System of Equations Review Day (Graphing & Substitution)

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  1. Thursday, February 3rd Outcome: Agenda To Do List: I can solve systems of equations using substitution and graphing Sharpen pencils Station Review Activity DeltaMath HW Time Copy Agenda Homework Complete the Warm-Up Delta HW #1 due by 02/06 Quiz #1 tomorrow on Substitution & Graphing

  2. Name-__________________________________ Quiz #1 Review -Systems of Equations Substitution & Graphing 1. Which graph shows the following system of equations? Solve the systems by substitution. List your answer as an ordered pair and show all your work. What is the solution to the system of equations? Give your answer as an ordered pair. (____,____) 2. 3. A. B. C.

  3. Answer Key Name-__________________________________ Quiz #1 Review -Systems of Equations Substitution & Graphing 1. Which graph shows the following system of equations? Solve the systems by substitution. List your answer as an ordered pair and show all your work. What is the solution to the system of equations? Give your answer as an ordered pair. (____,____) 7x - 20 = 2x -7x -7x -20 = -5x -5 -5 4 = x (-2,-3) 2. 3. A. B. C. Solution: (4, 8) y =2x y =2(4) y = 8 2y - 4x = 2 2(-x+4) - 4x = 2 -2x + 8 - 4x = 2 -6x + 8 = 2 -8 -8 -6x = -6 -6 -6 x = 1 y = -x + 4 y = -(1) + 4 y = -1 + 4 y = 3 sub Solution: (1, 3)

  4. Answer Key Name-__________________________________ Quiz #1 Review -Systems of Equations Substitution & Graphing 1. Which graph shows the following system of equations? Solve the systems by substitution. List your answer as an ordered pair and show all your work. What is the solution to the system of equations? Give your answer as an ordered pair. (____,____) 7x - 20 = 2x -7x -7x -20 = -5x -5 -5 4 = x (-2,-3) 2. 3. A. B. C. Solution: (4, 8) y =2x y =2(4) y = 8 2y - 4x = 2 2(-x+4) - 4x = 2 -2x + 8 - 4x = 2 -6x + 8 = 2 -8 -8 -6x = -6 -6 -6 x = 1 y = -x + 4 y = -(1) + 4 y = -1 + 4 y = 3 sub Solution: (1, 3)

  5. Answer Key Name-__________________________________ Quiz #1 Review -Systems of Equations Substitution & Graphing 1. Which graph shows the following system of equations? Solve the systems by substitution. List your answer as an ordered pair and show all your work. What is the solution to the system of equations? Give your answer as an ordered pair. (____,____) 7x - 20 = 2x -7x -7x -20 = -5x -5 -5 4 = x (-2,-3) 2. 3. A. B. C. Solution: (4, 8) y =2x y =2(4) y = 8 2y - 4x = 2 2(-x+4) - 4x = 2 -2x + 8 - 4x = 2 -6x + 8 = 2 -8 -8 -6x = -6 -6 -6 x = 1 y = -x + 4 y = -(1) + 4 y = -1 + 4 y = 3 sub Solution: (1, 3)

  6. Answer Key Name-__________________________________ Quiz #1 Review -Systems of Equations Substitution & Graphing 1. Which graph shows the following system of equations? Solve the systems by substitution. List your answer as an ordered pair and show all your work. What is the solution to the system of equations? Give your answer as an ordered pair. (____,____) 7x - 20 = 2x -7x -7x -20 = -5x -5 -5 4 = x (-2,-3) 2. 3. A. B. C. Solution: (4, 8) y =2x y =2(4) y = 8 2y - 4x = 2 2(-x+4) - 4x = 2 -2x + 8 - 4x = 2 -6x + 8 = 2 -8 -8 -6x = -6 -6 -6 x = 1 y = -x + 4 y = -(1) + 4 y = -1 + 4 y = 3 sub Solution: (1, 3)

  7. Answer Key Name-__________________________________ Quiz #1 Review -Systems of Equations Substitution & Graphing 1. Which graph shows the following system of equations? Solve the systems by substitution. List your answer as an ordered pair and show all your work. What is the solution to the system of equations? Give your answer as an ordered pair. (____,____) 7x - 20 = 2x -7x -7x -20 = -5x -5 -5 4 = x (-2,-3) 2. 3. A. B. C. Solution: (4, 8) y =2x y =2(4) y = 8 2y - 4x = 2 2(-x+4) - 4x = 2 -2x + 8 - 4x = 2 -6x + 8 = 2 -8 -8 -6x = -6 -6 -6 x = 1 y = -x + 4 y = -(1) + 4 y = -1 + 4 y = 3 sub Solution: (1, 3)

  8. Answer Key Name-__________________________________ Quiz #1 Review -Systems of Equations Substitution & Graphing 1. Which graph shows the following system of equations? Solve the systems by substitution. List your answer as an ordered pair and show all your work. What is the solution to the system of equations? Give your answer as an ordered pair. (____,____) 7x - 20 = 2x -7x -7x -20 = -5x -5 -5 4 = x (-2,-3) 2. 3. A. B. C. Solution: (4, 8) y =2x y =2(4) y = 8 2y - 4x = 2 2(-x+4) - 4x = 2 -2x + 8 - 4x = 2 -6x + 8 = 2 -8 -8 -6x = -6 -6 -6 x = 1 y = -x + 4 y = -(1) + 4 y = -1 + 4 y = 3 sub Solution: (1, 3)

  9. Answer Key Name-__________________________________ Quiz #1 Review -Systems of Equations Substitution & Graphing 1. Which graph shows the following system of equations? Solve the systems by substitution. List your answer as an ordered pair and show all your work. What is the solution to the system of equations? Give your answer as an ordered pair. (____,____) 7x - 20 = 2x -7x -7x -20 = -5x -5 -5 4 = x (-2,-3) 2. 3. A. B. C. Solution: (4, 8) y =2x y =2(4) y = 8 2y - 4x = 2 2(-x+4) - 4x = 2 -2x + 8 - 4x = 2 -6x + 8 = 2 -8 -8 -6x = -6 -6 -6 x = 1 y = -x + 4 y = -(1) + 4 y = -1 + 4 y = 3 sub Solution: (1, 3)

  10. Answer Key Name-__________________________________ Quiz #1 Review -Systems of Equations Substitution & Graphing 1. Which graph shows the following system of equations? Solve the systems by substitution. List your answer as an ordered pair and show all your work. What is the solution to the system of equations? Give your answer as an ordered pair. (____,____) 7x - 20 = 2x -7x -7x -20 = -5x -5 -5 4 = x (-2,-3) 2. 3. A. B. C. Solution: (4, 8) y =2x y =2(4) y = 8 2y - 4x = 2 2(-x+4) - 4x = 2 -2x + 8 - 4x = 2 -6x + 8 = 2 -8 -8 -6x = -6 -6 -6 x = 1 y = -x + 4 y = -(1) + 4 y = -1 + 4 y = 3 sub Solution: (1, 3)

  11. Answer Key Name-__________________________________ Quiz #1 Review -Systems of Equations Substitution & Graphing 1. Which graph shows the following system of equations? Solve the systems by substitution. List your answer as an ordered pair and show all your work. What is the solution to the system of equations? Give your answer as an ordered pair. (____,____) 7x - 20 = 2x -7x -7x -20 = -5x -5 -5 4 = x (-2,-3) 2. 3. A. B. C. Solution: (4, 8) y =2x y =2(4) y = 8 2y - 4x = 2 2(-x+4) - 4x = 2 -2x + 8 - 4x = 2 -6x + 8 = 2 -8 -8 -6x = -6 -6 -6 x = 1 y = -x + 4 y = -(1) + 4 y = -1 + 4 y = 3 sub Solution: (1, 3)

  12. Answer Key Name-__________________________________ Quiz #1 Review -Systems of Equations Substitution & Graphing 1. Which graph shows the following system of equations? Solve the systems by substitution. List your answer as an ordered pair and show all your work. What is the solution to the system of equations? Give your answer as an ordered pair. (____,____) 7x - 20 = 2x -7x -7x -20 = -5x -5 -5 4 = x (-2,-3) 2. 3. A. B. C. Solution: (4, 8) y =2x y =2(4) y = 8 2y - 4x = 2 2(-x+4) - 4x = 2 -2x + 8 - 4x = 2 -6x + 8 = 2 -8 -8 -6x = -6 -6 -6 x = 1 y = -x + 4 y = -(1) + 4 y = -1 + 4 y = 3 sub Solution: (1, 3)

  13. Answer Key Name-__________________________________ Quiz #1 Review -Systems of Equations Substitution & Graphing 1. Which graph shows the following system of equations? Solve the systems by substitution. List your answer as an ordered pair and show all your work. What is the solution to the system of equations? Give your answer as an ordered pair. (____,____) 7x - 20 = 2x -7x -7x -20 = -5x -5 -5 4 = x (-2,-3) 2. 3. A. B. C. Solution: (4, 8) y =2x y =2(4) y = 8 2y - 4x = 2 2(-x+4) - 4x = 2 -2x + 8 - 4x = 2 -6x + 8 = 2 -8 -8 -6x = -6 -6 -6 x = 1 y = -x + 4 y = -(1) + 4 y = -1 + 4 y = 3 sub Solution: (1, 3)

  14. Answer Key Name-__________________________________ Quiz #1 Review -Systems of Equations Substitution & Graphing 1. Which graph shows the following system of equations? Solve the systems by substitution. List your answer as an ordered pair and show all your work. What is the solution to the system of equations? Give your answer as an ordered pair. (____,____) 7x - 20 = 2x -7x -7x -20 = -5x -5 -5 4 = x (-2,-3) 2. 3. A. B. C. Solution: (4, 8) y =2x y =2(4) y = 8 2y - 4x = 2 2(-x+4) - 4x = 2 -2x + 8 - 4x = 2 -6x + 8 = 2 -8 -8 -6x = -6 -6 -6 x = 1 y = -x + 4 y = -(1) + 4 y = -1 + 4 y = 3 sub Solution: (1, 3)

  15. Answer Key Name-__________________________________ Quiz #1 Review -Systems of Equations Substitution & Graphing 1. Which graph shows the following system of equations? Solve the systems by substitution. List your answer as an ordered pair and show all your work. What is the solution to the system of equations? Give your answer as an ordered pair. (____,____) 7x - 20 = 2x -7x -7x -20 = -5x -5 -5 4 = x (-2,-3) 2. 3. A. B. C. Solution: (4, 8) y =2x y =2(4) y = 8 2y - 4x = 2 2(-x+4) - 4x = 2 -2x + 8 - 4x = 2 -6x + 8 = 2 -8 -8 -6x = -6 -6 -6 x = 1 y = -x + 4 y = -(1) + 4 y = -1 + 4 y = 3 sub Solution: (1, 3)

  16. Answer Key Name-__________________________________ Quiz #1 Review -Systems of Equations Substitution & Graphing 1. Which graph shows the following system of equations? Solve the systems by substitution. List your answer as an ordered pair and show all your work. What is the solution to the system of equations? Give your answer as an ordered pair. (____,____) 7x - 20 = 2x -7x -7x -20 = -5x -5 -5 4 = x (-2,-3) 2. 3. A. B. C. Solution: (4, 8) y =2x y =2(4) y = 8 2y - 4x = 2 2(-x+4) - 4x = 2 -2x + 8 - 4x = 2 -6x + 8 = 2 -8 -8 -6x = -6 -6 -6 x = 1 y = -x + 4 y = -(1) + 4 y = -1 + 4 y = 3 sub Solution: (1, 3)

  17. Answer Key Name-__________________________________ Quiz #1 Review -Systems of Equations Substitution & Graphing 1. Which graph shows the following system of equations? Solve the systems by substitution. List your answer as an ordered pair and show all your work. What is the solution to the system of equations? Give your answer as an ordered pair. (____,____) 7x - 20 = 2x -7x -7x -20 = -5x -5 -5 4 = x (-2,-3) 2. 3. A. B. C. Solution: (4, 8) y =2x y =2(4) y = 8 2y - 4x = 2 2(-x+4) - 4x = 2 -2x + 8 - 4x = 2 -6x + 8 = 2 -8 -8 -6x = -6 -6 -6 x = 1 y = -x + 4 y = -(1) + 4 y = -1 + 4 y = 3 sub Solution: (1, 3)

  18. Answer Key Name-__________________________________ Quiz #1 Review -Systems of Equations Substitution & Graphing 1. Which graph shows the following system of equations? Solve the systems by substitution. List your answer as an ordered pair and show all your work. What is the solution to the system of equations? Give your answer as an ordered pair. (____,____) 7x - 20 = 2x -7x -7x -20 = -5x -5 -5 4 = x (-2,-3) 2. 3. A. B. C. Solution: (4, 8) y =2x y =2(4) y = 8 2y - 4x = 2 2(-x+4) - 4x = 2 -2x + 8 - 4x = 2 -6x + 8 = 2 -8 -8 -6x = -6 -6 -6 x = 1 y = -x + 4 y = -(1) + 4 y = -1 + 4 y = 3 sub Solution: (1, 3)

  19. Answer Key Name-__________________________________ Quiz #1 Review -Systems of Equations Substitution & Graphing 1. Which graph shows the following system of equations? Solve the systems by substitution. List your answer as an ordered pair and show all your work. What is the solution to the system of equations? Give your answer as an ordered pair. (____,____) 7x - 20 = 2x -7x -7x -20 = -5x -5 -5 4 = x (-2,-3) 2. 3. A. B. C. Solution: (4, 8) y =2x y =2(4) y = 8 2y - 4x = 2 2(-x+4) - 4x = 2 -2x + 8 - 4x = 2 -6x + 8 = 2 -8 -8 -6x = -6 -6 -6 x = 1 y = -x + 4 y = -(1) + 4 y = -1 + 4 y = 3 sub Solution: (1, 3)

  20. Answer Key Name-__________________________________ Quiz #1 Review -Systems of Equations Substitution & Graphing 1. Which graph shows the following system of equations? Solve the systems by substitution. List your answer as an ordered pair and show all your work. What is the solution to the system of equations? Give your answer as an ordered pair. (____,____) 7x - 20 = 2x -7x -7x -20 = -5x -5 -5 4 = x (-2,-3) 2. 3. A. B. C. Solution: (4, 8) y =2x y =2(4) y = 8 2y - 4x = 2 2(-x+4) - 4x = 2 -2x + 8 - 4x = 2 -6x + 8 = 2 -8 -8 -6x = -6 -6 -6 x = 1 y = -x + 4 y = -(1) + 4 y = -1 + 4 y = 3 sub Solution: (1, 3)

  21. Answer Key Name-__________________________________ Quiz #1 Review -Systems of Equations Substitution & Graphing 1. Which graph shows the following system of equations? Solve the systems by substitution. List your answer as an ordered pair and show all your work. What is the solution to the system of equations? Give your answer as an ordered pair. (____,____) 7x - 20 = 2x -7x -7x -20 = -5x -5 -5 4 = x (-2,-3) 2. 3. A. B. C. Solution: (4, 8) y =2x y =2(4) y = 8 2y - 4x = 2 2(-x+4) - 4x = 2 -2x + 8 - 4x = 2 -6x + 8 = 2 -8 -8 -6x = -6 -6 -6 x = 1 y = -x + 4 y = -(1) + 4 y = -1 + 4 y = 3 sub Solution: (1, 3)

  22. Answer Key Name-__________________________________ Quiz #1 Review -Systems of Equations Substitution & Graphing 1. Which graph shows the following system of equations? Solve the systems by substitution. List your answer as an ordered pair and show all your work. What is the solution to the system of equations? Give your answer as an ordered pair. (____,____) 7x - 20 = 2x -7x -7x -20 = -5x -5 -5 4 = x (-2,-3) 2. 3. A. B. C. Solution: (4, 8) y =2x y =2(4) y = 8 2y - 4x = 2 2(-x+4) - 4x = 2 -2x + 8 - 4x = 2 -6x + 8 = 2 -8 -8 -6x = -6 -6 -6 x = 1 y = -x + 4 y = -(1) + 4 y = -1 + 4 y = 3 sub Solution: (1, 3)

  23. Answer Key Name-__________________________________ Quiz #1 Review -Systems of Equations Substitution & Graphing 1. Which graph shows the following system of equations? Solve the systems by substitution. List your answer as an ordered pair and show all your work. What is the solution to the system of equations? Give your answer as an ordered pair. (____,____) 7x - 20 = 2x -7x -7x -20 = -5x -5 -5 4 = x (-2,-3) 2. 3. A. B. C. Solution: (4, 8) y =2x y =2(4) y = 8 2y - 4x = 2 2(-x+4) - 4x = 2 -2x + 8 - 4x = 2 -6x + 8 = 2 -8 -8 -6x = -6 -6 -6 x = 1 y = -x + 4 y = -(1) + 4 y = -1 + 4 y = 3 sub Solution: (1, 3)

  24. Answer Key Name-__________________________________ Quiz #1 Review -Systems of Equations Substitution & Graphing 1. Which graph shows the following system of equations? Solve the systems by substitution. List your answer as an ordered pair and show all your work. What is the solution to the system of equations? Give your answer as an ordered pair. (____,____) 7x - 20 = 2x -7x -7x -20 = -5x -5 -5 4 = x (-2,-3) 2. 3. A. B. C. Solution: (4, 8) y =2x y =2(4) y = 8 2y - 4x = 2 2(-x+4) - 4x = 2 -2x + 8 - 4x = 2 -6x + 8 = 2 -8 -8 -6x = -6 -6 -6 x = 1 y = -x + 4 y = -(1) + 4 y = -1 + 4 y = 3 sub Solution: (1, 3)

  25. Answer Key Name-__________________________________ Quiz #1 Review -Systems of Equations Substitution & Graphing 1. Which graph shows the following system of equations? Solve the systems by substitution. List your answer as an ordered pair and show all your work. What is the solution to the system of equations? Give your answer as an ordered pair. (____,____) 7x - 20 = 2x -7x -7x -20 = -5x -5 -5 4 = x (-2,-3) 2. 3. A. B. C. Solution: (4, 8) y =2x y =2(4) y = 8 2y - 4x = 2 2(-x+4) - 4x = 2 -2x + 8 - 4x = 2 -6x + 8 = 2 -8 -8 -6x = -6 -6 -6 x = 1 y = -x + 4 y = -(1) + 4 y = -1 + 4 y = 3 sub Solution: (1, 3)

  26. Station:1 GRAPHING OF SYSTEMS y = 3x -4 y = -3x + 2 y = -x - 2 y = 1/3x + 2

  27. Station:1 GRAPHING OF SYSTEMS y = 3x - 4 y = -3x + 2 y = -x - 2 y = 1/3x + 2 (-3, 1) (1, -1)

  28. y = 3x + 4 y = -x -4 y = 4/3x + 3 y = -2/3x - 3

  29. y = 3x + 4 y = -x -4 y = 4/3x + 3 y = -2/3x - 3 (-3, -1) (-2, -2)

  30. Station:2 SUBSTITUTION OF SYSTEMS y = 2x - 8 y = -4x +10 y = -x + 9 y = x - 1 y = -10x - 2 y = -15x + 18

  31. Station:2 SUBSTITUTION OF SYSTEMS y = 2x - 8 y = -4x +10 y = -x + 9 y = x - 1 y = -10x - 2 y = -15x + 18 (3, -2) (5, 4) (4, -42)

  32. Station:3 SUBSTITUTION OF SYSTEMS x = 2y +2 -6y + 4x = -24 y = 2x 2y = x + 6 y = 3x +3 2y +18x = 84

  33. Station:3 SUBSTITUTION OF SYSTEMS x = 2y + 2 -6y + 4x = -24 y = 2x 2y = x + 6 y = 3x + 3 2y + 18 = 84 (2, 4) (-30, -16) (10, 33)

  34. Station:4 SYSTEMS

  35. Station:4 SYSTEMS

  36. Station:4 SYSTEMS Solution: (7, 6) (-1, -1)

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