1. x y x y Section 6.1 Checkpoint 1 Solving a Linear System by Graphing Solve the system of equations by graphing and identify the solution coordinate as (x, y).

2. x y x y Section 6.1 Checkpoint 2 Solving a Linear System by Graphing Solve the system of equations by graphing and identify the solution coordinate as (x, y). (Use y = mx + b)

3. Section 6.1 Checkpoint 3 Determining the Number of Solutions Solve each system by graphing. Find the number of solutions. x y x y x y

4. Solve by substituting the value of one equation into the other. Section 6.2 Checkpoint 4 Solving a System Using Substitution

5. Section 6.2 Checkpoint 5 Solving a System Using Substitution Solve by substituting the value of one equation into the other. Begin by solving one of the equations for y.

6. Section 6.2 Checkpoint 6 Solving a System Using Substitution

7. Section 6.2 Checkpoint 7 Solving Using Substitution: Special Solutions

8. Solve by adding or subtracting the equations to eliminate one of the variables. Look for terms with the same coefficients. Section 6.3 Checkpoint 8 Solving a System Using Elimination

9. Eliminate one of the variables by adding or subtracting. Then solve for the second variable using substitution. Section 6.3 Checkpoint 9 Solving a System Using Elimination

10. Section 6.3 Checkpoint 10 Solving a System Using Elimination Multiply one or both equations to create two terms that will eliminate one of the variables by adding or subtracting.

11. Section 6.3 Checkpoint 11 Solving a System Using Elimination You must first decide which term you want to eliminate. Then multiply one or both equations to create opposite terms.

12. For a fundraising event, you sell rolls of gift wrap and boxes of greeting cards. The gift wrap is $4 per roll and the cards are $10 per box. You sell a total of 205 rolls and boxes and receive $1084. a. Write a system that describes this situation: Assign variables.Model the situation. Section 6.4 Checkpoint 12 Solving System Application Problem

13. b. Now solve the system to find the number of rolls of wrap and boxes of cards sold: Section 6.4 Checkpoint 12 con’t. Solving System Application Problem

14. Chapter 6 Systems of Equations Tues Feb 28, 2012 Today we will learn how to find the solution to a system of equations by graphing and determine the number of solutions for a system. 6.1 Solving Systems by Graphing

15. x y x y Section 6.1 Checkpoint 1 Solving a Linear System by Graphing Solve the system of equations by graphing and identify the solution coordinate as (x, y).

16. x y x y Section 6.1 Checkpoint 2 Solving a Linear System by Graphing Solve the system of equations by graphing and identify the solution coordinate as (x, y). (Use y = mx + b) horizontal line vertical line

17. Section 6.1 Checkpoint 3 Determining the Number of Solutions Solve each system by graphing. Find the number of solutions. x y x y x y

18. Assignment Sheet Tues 2/28 Algebra 1-Mr. Gualandri Rm. 14-139 Name ______________________ Unit 11 Linear Systems Portfolio Assignment List 12/28 TB p. 385 #11-16 – In class – Use graph paper & ruler 22/28 TB p. 386 #20-23 – HW – Use graph paper & ruler

19. 12/28 TB p. 385 #11-16 – In class – Use graph paper & ruler

20. 22/28 TB p. 386 #20-23 – HW – Use graph paper & ruler

21. Chapter 6 Systems of Equations Wed Feb 29, 2012 Today we will learn how to solve a system of equations algebraically using the substitution method. 6.2 Solving Systems by Substitution

22. (2,0) (-7,-15) Solve by substituting the value of one equation into the other. Section 6.2 Checkpoint 4 Solving a System Using Substitution

23. Section 6.2 Checkpoint 5 Solving a System Using Substitution Solve by substituting the value of one equation into the other. Begin by solving one of the equations for y.

24. Assignment Sheet Wed 2/29 Algebra 1-Mr. Gualandri Rm. 14-139 Name ______________________ Unit 11 Linear Systems Portfolio Assignment List 12/28 TB p. 385 #11-16 – In class – Use graph paper & ruler 22/28 TB p. 386 #20-23 – HW – Use graph paper & ruler 32/29 TB p. 394 #12-17 – In class/Finish HW

25. 3

26. Chapter 6 Systems of Equations Thursday Mar. 1, 2012 Today we will. 6.2 Solving Systems by Substitution

27. Section 6.2 Checkpoint 6 Solving a System Using Substitution

28. Section 6.2 Checkpoint 7 Solving Using Substitution: Special Solutions

29. Assignment Sheet Wed 2/29 Algebra 1-Mr. Gualandri Rm. 14-139 Name ______________________ Unit 11 Linear Systems Portfolio Assignment List 12/28 TB p. 385 #11-16 – In class – Use graph paper & ruler 22/28 TB p. 386 #20-23 – HW – Use graph paper & ruler 32/29 TB p. 394 #12-17 – In class/Finish HW 43/1 TB p. 395 #34-36 – In class – Use Graph paper & ruler 53/1 TB p. 394 #21-23 all – In class/Finish HW

30. 43/1 TB p. 395 #34-36 – In class – Use Graph paper & ruler 53/1 TB p. 394 #21-23 all – In class/Finish HW

31. Chapter 6 Systems of Equations Monday March 5, 2012 Today we will learn how to solve systems of equations using the elimination method. 6.3 Solving Systems by Elimination

32. 61/23 TB p. 404 #29-31 – In class

33. Solve by adding or subtracting the equations to eliminate one of the variables. Look for terms with the same coefficients. Section 6.3 Checkpoint 8 Solving a System Using Elimination + – ( )

34. Eliminate one of the variables by adding or subtracting. Then solve for the second variable using substitution. Section 6.3 Checkpoint 9 Solving a System Using Elimination + – ( )

35. Assignment Sheet Monday 3/1 Algebra 1-Mr Gualandri14-228 Name ______________________ Unit 11 Linear Systems Portfolio Assignment List 12/28 TB p. 385 #11-16 – In class – Use graph paper & ruler 22/28 TB p. 386 #20-23 – HW – Use graph paper & ruler 32/29 TB p. 394 #12-17 – In class/Finish HW 43/1 TB p. 395 #34-36 – In class – Use Graph paper & ruler 53/1 TB p. 394 #21-23 all – In class/Finish HW 63/5 TB p. 404 #29-31 – In class 73/5 TB p. 398 #6-11 – In class/Finish HW

36. 7

37. Chapter 6 Systems of Equations Tues March 6, 2012 Today we will practice additional problems that solve systems of equations with the elimination method. 6.3 Solving Systems by Elimination

38. Section 6.3 Checkpoint 10 Solving a System Using Elimination Multiply one or both equations to create two terms that will eliminate one of the variables by adding or subtracting. + +

39. Section 6.3 Checkpoint 11 Solving a System Using Elimination You must first decide which term you want to eliminate. Then multiply one or both equations to create opposite terms. + +

40. Assignment Sheet Tues 3/6 Algebra 1-Mr. Gualandri Rm. 14-139 Name ______________________ Unit 11 Linear Systems Portfolio Assignment List 43/1 TB p. 395 #34-36 – In class – Use Graph paper & ruler 53/1 TB p. 394 #21-23 all – In class/Finish HW 63/5 TB p. 404 #29-31 – In class 73/5 TB p. 398 #6-11 – In class/Finish HW 83/6 WS Extra Practice 6-1, 6-2, 6-3 #1-9 – In class 93/6 TB p. 402 #6-9 – In class/Finish HW

41. 91/25 TB p. 402 #6-9 – In class/Finish HW

42. Chapter 6 Systems of Equations Thursday Jan 26, 2012 Today we will apply systems of equations to word problems. 6.4 Applications of Systems

47. Assignment Sheet Friday 1/27 Algebra 1-Mr. Whitney Rm. 14-228 Name ______________________ Unit 11 Linear Systems Portfolio Assignment List 61/23 TB p. 404 #29-31 – In class 71/23 TB p. 398 #6-11 – In class/Finish HW 81/24 WS Extra Practice 6-1, 6-2, 6-3 #1-9 – In class 91/25 TB p. 402 #6-9 – In class/Finish HW 101/26 WS Word Problems #1-7 – In class 111/26 TB p. 409 #9-12 – In class/Finish HW 121/27 WB p. 179 #1-4 – In class

51. Assignment Sheet Friday 1/27 Algebra 1-Mr. Whitney Rm. 14-228 Name ______________________ Unit 11 Linear Systems Portfolio Assignment List 61/23 TB p. 404 #29-31 – In class 71/23 TB p. 398 #6-11 – In class/Finish HW 81/24 WS Extra Practice 6-1, 6-2, 6-3 #1-9 – In class 91/25 TB p. 402 #6-9 – In class/Finish HW 101/26 WS Word Problems #1-7 – In class 111/26 TB p. 409 #9-12 – In class/Finish HW 121/27 WB p. 179 #1-4 – In class

52. For a fundraising event, you sell rolls of gift wrap and boxes of greeting cards. The gift wrap is $4 per roll and the cards are $10 per box. You sell a total of 205 rolls and boxes and receive $1084. a. Write a system that describes this situation: Assign variables. x = rolls of gift wrap y = boxes of cards Model the situation. This is the system that models the situation. Section 6.4 Checkpoint 12 Solving System Application Problem

53. b. Now solve the system to find the number of rolls of wrap and boxes of cards sold: 161 rolls of wrap sold and 44 boxes of cards. Section 6.4 Checkpoint 12 con’t. Solving System Application Problem

54. 111/26 TB p. 409 #9-12 – In class/Finish HW

55. Chapter 6 Systems of Equations Friday Jan 27, 2012 Today we will. 6.4 Applications of Systems

56. Chapter 6 Systems of Equations Tuesday Jan 31, 2012 Today we will review sections 6.1-6.4 and complete the Unit 11 test review.

57. 131/31 Test Review TB p. 412 #1-20 all – In class /Finish HW

58. Chapter 6 Systems of Equations Tuesday Jan 31, 2012 Today we will turn in the Unit 11 portfolio and take the Unit 11 test.

59. 131/31 Test Review TB p. 412 #1-20 all – In class /Finish HW

60. 131/31 Test Review TB p. 412 #1-20 all – In class /Finish HW