1. Graph the following: 1. y = 2x – 1 2. y = - 3x + 3

3. 1. y = 2 2. x = - 3

4. 1. x – intercept: 5 2. y – intercept: -4

5. 1. 2x + 3y = 12

6. 1. y = - 5 2. x = 1

7. 1. x – intercept: - 3 2. y – intercept: 6

8. 1. - 4x + 6y = 36

9.  Describe what you think the word independent and dependent means. (Does not have to relate to math).

10.  Unit Question:  How do I justify and solve the solution to a system of equations or inequalities?  Standard: MCC9- 12.A.REI.1, 3, 5, 6, and 12  I can…  Graph systems of equations and identify their solutions

11. 

12.  Everyone gets one piece of colored paper.  Fold it hot dog style  Cut three slits in your paper.  It should look like this!

13.  Title your foldable. o System of Equations  Label each flap. o Intersecting lines o Parallel lines o Same Line  On the back of your Tri-fold title a section for “Steps.”  Save some room for pictures!

14. 1. Make sure each equation is in slope-intercept form: y = mx + b. 2. Graph each equation on the same graph paper. 3. The point where the lines intersect is the solution. If they don’t intersect then there’s no solution. 4. Check your solution algebraically.

15.  There are 3 different types of systems of linear equations 3 Different Systems: 1) One solution 2) No Solution 3) Infinite Solutions

16. Solution: Infinitely Many

17.  A system of linear equations having an infinite number of solutions is described as being consistent-dependent. y x  The system has infinite solutions, the lines are identical

18. No Solution

19.  A system of linear equations having no solutions is described as being inconsistent. y x  The system has no solution, the lines are parallel Remember, parallel lines have the same slope

20. y = 3x – 12 y = -2x + 3 Solution: (3, -3)

21.  A system of linear equations having exactly one solution is described as being one solution. y x  The system has exactly one solution at the point of intersection

22.  If the lines have the same y-intercept b, and the same slope m, then the system is consistent- dependent  If the lines have the same slope m, but different y- intercepts b, the system is inconsistent  If the lines have different slopes m, the system is consistent-independent

23. The ordered pair (5, 9) is a solution of which linear system? A. B.

24. Solution: (-3, 1)

25. Solution: (-2, 5)

26. Solution: (-3, 1)

27. Solution: (-2, 5)

28.  Graphing WS

29.  Homework Packet

30. Graph the following system of equations: 1. y = -2x + 1 y = 3x + 5

32.  Unit Question:  How do I justify and solve the solution to a system of equations or inequalities?  Standard: MCC9- 12.A.REI.1, 3, 5, 6, and 12  I can…  Solve systems of equations by substitution and elimination.

33. 

34. 1. One equation will have either x or y by itself, or can be solved for x or y easily. 2. Substitute the expression from Step 1 into the other equation and solve for the other variable. 3. Substitute the value from Step 2 into the equation from Step 1 and solve. 4. Your solution is the ordered pair formed by x & y. 5. Check the solution in each of the original equations.

42. Warm – Up Solve by Substitution: 1)2x = 8 2) y = x – 4 x + y = 2 4x + y = 26

43. Steps for Elimination: 1.Arrange the equations with like terms in columns 2.Multiply, if necessary, to create opposite coefficients for one variable. 3.Add the equations. 4.Substitute the value to solve for the other variable. 5.Check

44. EXAMPLE 1 Example 1

45. EXAMPLE 2 4x + 3y = 16 2x – 3y = 8 Example 2

46. EXAMPLE 3 3x + 2y = 7 -3x + 4y = 5 Example 3

47. EXAMPLE 4 2x – 3y = 4 -4x + 5y = -8 Example 4

48. EXAMPLE 5 5x + 2y = 7 -4x + y = –16 Example 5

49. 2x + 3y = 1 4x – 2y = 10 EXAMPLE 6 Example 6

50. Warm – Up – Find the Error 1. 2.

51.  All I Do Is Solve All I Do Is Solve By: Westerville South H.S.

52.  Substitution & Elimination Practice

53.  Homework Packet