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Math 8

Math 8. Unit 6: Linear Equations and Graphing. Unit 6: Linear Equations and Graphing. What you’ll learn Model and solve problems using linear equations Solve equations using models, pictures, and symbols Graph and analyse two-variable linear equations.

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Math 8

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  1. Math 8 Unit 6: Linear Equations and Graphing

  2. Unit 6: Linear Equations and Graphing What you’ll learn • Model and solve problems using linear equations • Solve equations using models, pictures, and symbols • Graph and analyse two-variable linear equations

  3. Unit 6: Linear Equations and Graphing Why it’s important • Used to determine relationships (science, finance) • Use to solve problems (rates of pay, rental, purchase rates, doses of medicine)

  4. Unit 6: Linear Equations and Graphing 6.1 Solving Equation Using Models

  5. 6.1 Solving Equation Using Models • Focus: Use concrete materials to model and solve linear equations

  6. 6.1 Solving Equation Using Models • Order of operations to solve equations is: Brackets Exponents Division Multiplication Addition Subtraction

  7. 6.1 Solving Equation Using Models • To rearrange an equation do the opposite: Subtraction Addition Multiplication Division Exponents Brackets SAMDEB

  8. 6.1 Solving Equation Using Models • The two sides of an equation must remain the same. Whatever you do to one side you MUST do to the other side. Balance Scale Model

  9. 6.1 Solving Equation Using Models An equation is balanced when both sides have the same value. That is obvious in these cases because both sides are identical. Obviously one blue square equals one blue square. When a red oval is added to each side they stay balanced. When the one on the right has a red oval removed it stays balanced. Addition Subtraction

  10. 6.1 Solving Equation Using Models When the one blue square on the left is multiplied by three on both sides each side stays balanced because they both have 3 blue squares. When the one on the right is divided by three it changes to one blue square and stays balanced. Multiplication Division

  11. Solve 2x – 3 = 3

  12. Solve 2x – 3 = 3 Get the blue X by themselves. Add 3 to each side. -3 + 3 = 0

  13. Solve 2x – 3 = 3 Get the blue X by themselves. Divide both sides by 2 X = 3

  14. Model and solve 4x = 12

  15. Model and solve 4x = 12 By organizing your diagram it can make it easier to solve. There is one blue square (X) for three green squares (ones) X = 3

  16. 6.1 Solving Equation Using Models • Homework

  17. Unit 6: Linear Equations and Graphing 6.2 Solving Equations Using Algebra

  18. 6.2 Solving Equations Using Algebra • Focus: Solve a linear equation symbolically

  19. 6.2 Solving Equations Using Algebra • Solve:

  20. 6.2 Solving Equations Using Algebra • Solve:

  21. 6.2 Solving Equations Using Algebra • Solve:

  22. 6.2 Solving Equations Using Algebra • Solve:

  23. 6.2 Solving Equations Using Algebra • Solve:

  24. 6.2 Solving Equations Using Algebra • Solve:

  25. 6.2 Solving Equations Using Algebra • Solve:

  26. 6.2 Solving Equations Using Algebra • Solve:

  27. 6.2 Solving Equations Using Algebra • Homework

  28. Unit 6: Linear Equations and Graphing 6.3 Solving Equations Involving Fractions

  29. 6.3 Solving Equations Involving Fractions • Focus: Solve an equation that involves a fraction

  30. 6.3 Solving Equations Involving Fractions • Investigate and Examples

  31. 6.3 Solving Equations Involving Fractions Find the mistake and solve for the correct answer.

  32. 6.3 Solving Equations Involving Fractions The correct answer.

  33. 6.3 Solving Equations Involving Fractions Solve for the correct answer.

  34. 6.3 Solving Equations Involving Fractions The correct answer.

  35. 6.3 Solving Equations Involving Fractions • Homework

  36. Unit 6: Linear Equations and Graphing 6.4 The Distributive Property

  37. 6.4 The Distributive Property • Focus: Relate the distributive property to algebra

  38. 6.4 The Distributive Property • Solve

  39. 6.4 The Distributive Property • Solutions

  40. Distributive property – multiply or divide every term in the brackets

  41. Unit 6: Linear Equations and Graphing 6.5 Solving Equations Involving the Distributive Property

  42. 6.5 Solving Equations Involving the Distributive Property • Focus: Apply the distributive property to solve an equation

  43. Unit 6: Linear Equations and Graphing 6.6 Creating a Table of Values

  44. 6.6 Creating a Table of Values • Focus: Create a table of values from the equation of a linear relation

  45. Unit 6: Linear Equations and Graphing 6.7 Graphing Linear Relations

  46. 6.7 Graphing Linear Relations • Focus: Construct a graph from the equation of a linear relation and describe the graph

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