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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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Linear System of Inequalities Pg. 187 #1 – 13

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

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

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Independent

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

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Inconsistent

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

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Dependent

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

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Inconsistent

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

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Dependent

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Answer Solve the system by: Graphing

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Answer Solve the system by: Substitution

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Answer Solve the system by: Elimination

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Answer Solve the system by: Your Choice

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Answer Solve the system by: Your Choice

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Answer Write a matrix to represent the system.

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Answer What system is represented by the matrix:

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Answer Solve the system by: Your Choice

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Answer Solve the system by: Your Choice

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Answer Solve the system by: Your Choice

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Solve the system

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Answer Graph the solution to each inequality

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Answer Graph the solution to each inequality

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Answer Graph the solution to each inequality

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Answer

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

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Answer

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

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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?

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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.

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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.

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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.

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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

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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?

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

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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?

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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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