1. Math 8 Unit 6: Linear Equations and Graphing

2. 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. 6.1 SOLVING EQUATION USING MODELS Unit 6: Linear Equations and Graphing

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. 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. 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. 6.2 SOLVING EQUATIONS USING ALGEBRA Unit 6: Linear Equations and Graphing

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

29. 6.3 SOLVING EQUATIONS INVOLVING FRACTIONS Unit 6: Linear Equations and Graphing

30. 6.3 Solving Equations Involving Fractions Focus: Solve an equation that involves a fraction

31. 6.3 Solving Equations Involving Fractions Investigate and Examples

32. 6.3 Solving Equations Involving Fractions Find the mistake and solve for the correct answer.

33. 6.3 Solving Equations Involving Fractions The correct answer.

34. 6.3 Solving Equations Involving Fractions Solve for the correct answer.

35. 6.3 Solving Equations Involving Fractions The correct answer.

36. 6.3 Solving Equations Involving Fractions Homework

38. 6.4 THE DISTRIBUTIVE PROPERTY Unit 6: Linear Equations and Graphing

39. 6.4 The Distributive Property Focus: Relate the distributive property to algebra

40. 6.4 The Distributive Property Solve

41. 6.4 The Distributive Property Solutions

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

43. 6.5 SOLVING EQUATIONS INVOLVING THE DISTRIBUTIVE PROPERTY Unit 6: Linear Equations and Graphing

44. 6.5 Solving Equations Involving the Distributive Property Focus: Apply the distributive property to solve an equation

45. 6.6 CREATING A TABLE OF VALUES Unit 6: Linear Equations and Graphing

46. 6.6 Creating a Table of Values Focus: Create a table of values from the equation of a linear relation

47. 6.7 GRAPHING LINEAR RELATIONS Unit 6: Linear Equations and Graphing

48. 6.7 Graphing Linear Relations Focus: Construct a graph from the equation of a linear relation and describe the graph