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Verifying Solutions

Verifying Solutions. (In Russia!). Materials Needs. Pencil Notebook Scissors Glue Passport. Table of Contents. Warm Up. Determine if the following solutions are correct. Justify your answers 1. 12 – 7 c = 54, when c = 6 2. 2(3 w + 4) = 5, when w = -2. Warm Up.

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Verifying Solutions

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  1. Verifying Solutions (In Russia!)

  2. Materials Needs Pencil Notebook Scissors Glue Passport

  3. Table of Contents

  4. Warm Up Determine if the following solutions are correct. Justify your answers 1. 12 – 7c = 54, when c = 62. 2(3w + 4) = 5, when w = -2

  5. Warm Up 1. 12 – 7c = 54, when c = 6 12 – 7(6) = 54 12 – 42 = 54 No. 6 is not a solution -30 = 54

  6. Warm Up 2. 2(3w + 4) = 5, when w = -2 2(3(-2) + 4) = 5 2(-6 + 4) = 5 No. -2 is not a solution 2(-2) = 5 -4 = 5

  7. Saint Basil’s Cathedral, Moscow, Russia

  8. Learning Intention/Success Criteria LI: We are learning to verify solutions to linear equations SC: I know how to…1. use the order of operations2. distinguish which values represent x or y3. show solutions to equations are in the form (x, y)4. explain if a solution to an equation is true or false5. substitute values into an equation/expression

  9. Today’s Vocabulary How to remember the order of operations: Parenthesis, Exponents, Multiplication/Division (Left to Right), Addition/Subtraction (Left to Right) PEMDAS: Equation: A mathematical sentence built from expressions, using an equal sign

  10. Today’s Vocabulary Solution: Any and all values of the variables that satisfy an equation, inequality, system of equations, or system of inequalities The set of numbers giving the location of a point on a coordinate plane. Written: (x, y). Known as a point Ordered Pair:

  11. Example 1: Is the ordered pair a solution to the equation? y = -3x + 5pt: (2, -1) y = -3x + 5 SC5 -1 = -3(2) + 5 -1 = -6 + 5 SC1 -1 = -1 Yes, the point (2, -1) is a solution to the equation, y = -3x + 5 x y SC2 SC3, SC4

  12. Guided Practice 1 Is the following point a solution to the given equation?y = -2x – 7 Point: (6, -19)

  13. Poll Is the following point a solution to the given equation?y = -2x – 7 Point: (6, -19) A) Yes it is a solutionB) No it is not a solution

  14. Guided Practice 1 Solution Is the following point a solution to the given equation?y = -2x – 7 Point: (6, -19) -19 = -2(6) – 7 Yes, (6, -19) is a solution to y = -2x – 7 -19 = -12 – 7 -19 = -19

  15. Guided Practice 2 Is the following point a solution to the given equation?y = -2x – 7 Point: (-4, 1)

  16. Poll Is the following point a solution to the given equation?y = -2x – 7 Point: (-4, 1) A) Yes it is a solutionB) No it is not a solution

  17. Guided Practice 2 Solution Is the following point a solution to the given equation?y = -2x – 7 Point: (-4, 1) 1 = -2(-4) – 7 Yes, (-4, 1) is a solution to y = -2x – 7 1 = 8 – 7 1 = 1

  18. Example 2: Is the ordered pair a solution to the equation? y = -3x + 5pt: (3, -5) y = -3x + 5 SC5 -5 = -3(3) + 5 -5 = -9 + 5 SC1 -5 = -4 No, the point (3, -5) is a solution to the equation, y = -3x + 5 x y SC2 SC3, SC4

  19. Guided Practice 3 Is the following point a solution to the given equation?y = -2x – 7 Point: (-2, 6)

  20. Poll Is the following point a solution to the given equation?y = -2x – 7 Point: (-2, 6) A) Yes it is a solutionB) No it is not a solution

  21. Guided Practice 3 Solution Is the following point a solution to the given equation?y = -2x – 7 Point: (-2, 6) 6 = -2(-2) – 7 No, (-2, 6) is a solution to y = -2x – 7 6 = 4 – 7 6 = -3

  22. Guided Practice 4 Is the following point a solution to the given equation?y = -2x – 7 Point: (0, 8)

  23. Poll Is the following point a solution to the given equation?y = -2x – 7 Point: (0, 8) A) Yes it is a solutionB) No it is not a solution

  24. Guided Practice 4 Solution Is the following point a solution to the given equation?y = -2x – 7 Point: (0, 8) 8 = -2(0) – 7 No, (0, 8) is a solution to y = -2x – 7 8 = 0 – 7 8 = -7

  25. Activity Yellow Track: bit.ly/2IoQJN9Yellow Track: bit.ly/2jXQ2Q0Green Track: bit.ly/2IHPbkKGreen Track: bit.ly/2IlDTmPBlue Track: bit.ly/2rKwNgpRed Track: bit.ly/2wL8nJz

  26. Exit Note/Quiz Does the given ordered pair satisfy the linear equation? Show your work.

  27. Passport Stamp Grade yourself as a passport stamp at Saint Basil’s Cathedral. Represent yourself as a Matryoshka (nesting doll). The larger the nesting doll, the more you understand. Include a short reason of why you chose that size!

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