Chapter 7 Systems of Linear Equations and Inequalities 7.1 Thursday 12/6 7.2 Friday12/7-Monday12/10 7.3 Tuesday12/11-Wed12/12 7.6 Thursday12/13-Friday12/14.

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Presentation transcript:

Chapter 7 Systems of Linear Equations and Inequalities 7.1 Thursday 12/6 7.2 Friday12/7-Monday12/ Tuesday12/11-Wed12/ Thursday12/13-Friday12/14 Review Monday 12/17 Test Tuesday12/18

7.1 Solving Linear Systems by Graphing Objective -Solve a system of linear equations by graphing. Standards -A.1.2.2, A1.4.1, A1.5.1

Terms linear system Solution of a system

Rules Get both equations in y=form Graph both equations on the same graph paper Find the point where the two lines cross Write that point as an ordered pair  Special cases If the lines are parallel there will be no solution if the graph is of the same line there will be infinite solutions.

Practice Y = -x + 3 Y = x + 1

Practice Y = 2x - 4 Y = -½ x + 1

Practice -x + 2y = 6 x + 4y = 24

Practice 2x – y = -2 4x – y = -6

7.2 Solving Linear Systems by Substitution Objective -Solve a system of linear equations by substitution. Standards -A.1.2.2, A1.5.3, A1.5.6

Terms Substitution Transitive property

Steps Get both equations in y = form Use the transitive property to make one new equation Solve for x Plug x into one of the original equations Solve for y Put you answer in ordered pair form

Practice y = x – 4 y = -4x + 26

Practice y = 5 y = -5x + 10

Practice y = 3x x = 3y

Practice x – y = 2 2x + y = 1

7.3 Solving Linear Systems by Linear Combination Objective -Solve a system of linear equations by linear combination. Standards -A.1.5.4, A1.5.5, A1.5.6

7.6 Solving Systems of Linear Inequalities Objective -Solve a system of linear inequalities by graphing. Standards -A.1.4.6, A1.5.2, A1.5.6