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Linear System of Equations Classify Systems Independent Dependent Inconsistent Methods for Solving Tables Graphing Substitution Elimination Matrices −213.

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Presentation on theme: "Linear System of Equations Classify Systems Independent Dependent Inconsistent Methods for Solving Tables Graphing Substitution Elimination Matrices −213."— Presentation transcript:

1 Linear System of Equations Classify Systems Independent Dependent Inconsistent Methods for Solving Tables Graphing Substitution Elimination Matrices −213 −

2 Linear System of Inequalities Pg. 187 #1 – 13

3 Linear Systems Classifying Systems Solving 2 Variable Systems Solving 3 Variable Systems Inequalities Modeling (Application)

4 Answer Without graphing, classify each system. (independent, dependent, inconsistent)

5 Independent

6 Answer Without graphing, classify each system. (independent, dependent, inconsistent)

7 Inconsistent

8 Answer Without graphing, classify each system. (independent, dependent, inconsistent)

9 Dependent

10 Answer Without graphing, classify each system. (independent, dependent, inconsistent)

11 Inconsistent

12 Answer Without graphing, classify each system. (independent, dependent, inconsistent)

13 Dependent

14 Answer Solve the system by: Graphing

15

16 Answer Solve the system by: Substitution

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18 Answer Solve the system by: Elimination

19

20 Answer Solve the system by: Your Choice

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22 Answer Solve the system by: Your Choice

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24 Answer Write a matrix to represent the system.

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26 Answer What system is represented by the matrix:

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28 Answer Solve the system by: Your Choice

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30 Answer Solve the system by: Your Choice

31

32 Answer Solve the system by: Your Choice

33 Solve the system

34 Answer Graph the solution to each inequality

35

36 Answer Graph the solution to each inequality

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38 Answer Graph the solution to each inequality

39

40 Answer

41 (0, 1) (0, 5) (4, 2) (3, 1)

42 Answer

43 (2, 1) (2, 2) (5, 4) (7, 1)

44 Answer The school that Danielle goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 7 senior citizen tickets and 3 child tickets for a total of $74. The school took in $135 on the second day by selling 14 senior citizen tickets and 5 child tickets. Write a system of equations to find the price of one senior citizen ticket and one child ticket?

45

46 Answer Amanda and Eduardo each improved their yards by planting grass sod and shrubs. They bought their supplies from the same store. Amanda spent $83 on 7 ft² of grass sod and 3 shrubs. Eduardo spent $118 on 8 ft² of grass sod and 6 shrubs. Find the cost of one ft² of grass sod and the cost of one shrub. Write a system of equation to solve the problem.

47 Amanda and Eduardo each improved their yards by planting grass sod and shrubs. They bought their supplies from the same store. Amanda spent $83 on 7 ft² of grass sod and 3 shrubs. Eduardo spent $118 on 8 ft² of grass sod and 6 shrubs. Find the cost of one ft² of grass sod and the cost of one shrub. Write a system of equation to solve the problem.

48 Answer Meg has three dogs – Skippy, Gizmo, and Chopper. The sum of the dogs’ weights is 148 pounds. If you add three times Skippy’s weight to Gizmo’s weight, the sum is 8 pounds less than Chopper’s weight. If you subtract one- third of Skippy’s weight from four times Gizmo’s weight, the result is equal to twice Chopper’s weight. Write a system of equations to find out how much each dog weighs? Then solve the system.

49 Meg has three dogs – Skippy, Gizmo, and Chopper. The sum of the dogs’ weights is 148 pounds. If you add three times Skippy’s weight to Gizmo’s weight, the sum is 8 pounds less than Chopper’s weight. If you subtract one- third of Skippy’s weight from four times Gizmo’s weight, the result is equal to twice Chopper’s weight. Write a system of equations to find out how much each dog weighs? Then solve the system. Skippy: 12 pounds Gizmo: 46 pounds Chopper: 90 pounds

50 Answer You manage a health food store and budget $80 to buy ingredients to make 30 pounds of trail mix. Peanuts cost $2.50 per pound, raisins cost $2.00 per pound and granola cost $4.00 per pound. If you use twice as many pounds of peanuts as raisins, how many pounds of each ingredient should you buy?

51 Peanuts (p): 16 pounds Raisins (r): 8 pounds Granola (g): 6 pounds

52 Answer You are making your summer movie plans and are working with following constraints: It costs $8 to go to the movies at night. It costs $5 to go to a matinee. You want to go to at least as many night shows as matinees. You want to spend at most $42 What is the greatest number of movies you can see?

53 You are making your summer movie plans and are working with following constraints: It costs $8 to go to the movies at night. It costs $5 to go to a matinee. You want to go to at least as many night shows as matinees. You want to spend at most $42 What is the greatest number of movies you can see? 6 Movies: 3 night, 3 matinee 4 night, 2 matinee


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