Chapter 7 Systems of Linear Equations and Inequalities

Chapter 7 Systems of Linear Equations and Inequalities 7. 1 Thursday 12/6 7. 2 Friday 12/7 -Monday 12/10 7. 3 Tuesday 12/11 -Wed 12/12 7. 6 Thursday 12/13 -Friday 12/14 Review Monday 12/17 Test Tuesday 12/18

7. 1 Solving Linear Systems by Graphing Objective -Solve a system of linear equations by graphing. Standards -A. 1. 2. 2, A 1. 4. 1, A 1. 5. 1

Terms l linear system l Solution of a system

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

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

Practice l. Y = 2 x - 4 l Y = -½ x + 1

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

Practice l 2 x – y = -2 l 4 x – y = -6

7. 2 Solving Linear Systems by Substitution Objective -Solve a system of linear equations by substitution. Standards -A. 1. 2. 2, A 1. 5. 3, A 1. 5. 6

Terms l Substitution l Transitive property

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

Practice ly =x– 4 l y = -4 x + 26

Practice ly =5 l y = -5 x + 10

Practice ly = 3 x l x = 3 y

Practice lx –y=2 l 2 x + 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, A 1. 5. 5, A 1. 5. 6

7. 6 Solving Systems of Linear Inequalities Objective -Solve a system of linear inequalities by graphing. Standards -A. 1. 4. 6, A 1. 5. 2, A 1. 5. 6