Algebra B NAme: Unit 5: Solving Systems Of Linear Equations Hour

Algebra bUnit 5: Solving systems of linear uary 9, 2019Solving Systems of Equationsby Graphingp. 1 - 5Homework 1:Solving Systems by GraphingThursdayJanuary 10, 2019ReviewGraphing Systems of Equations ReviewPartner PracticeFridayJanuary 11, 2019Solving Systems of Equationsby Substitution (Day 1)p. 6 - 7Homework 2:Solving Systems by Substitution (Day 1)MondayJanuary 14, 2019Solving Systems of Equationsby Substitution (Day 2)p. 8 - 9Homework 3:Solving Systems by Substitution (Day 2)TuesdayJanuary 15, 2018ReviewGraphing vs. Substitution“What do you get when you cross a Fish with anElephant?”WednesdayJanuary 16, 2019QUIZThursdayJanuary 17, 2019Solving Systems of Equationsby Elimination (Day 1)p. 10 - 12Homework 4:Solving Systems by Elimination (Day 1)FridayJanuary 18, 2019Solving Systems of Equationsby Elimination (Day 2)p. 13 - 14Homework 5:Solving Systems by Elimination (Day 2)MondayJanuary 21, 2018NO SCHOOLTuesdayJanuary 22, 2019ReviewWednesdayJanuary 23, 2019SNOW DAYThursdayJanuary 24, 2019QUIZ“Where do Snowmen keep their Money?”FridayJanuary 25, 2019Solving Systems of EquationsAll TypesHomework 6:Solving Systems (All Methods)MondayJanuary 28, 2019SNOW DAYHomework 7:Systems Word ProblemsTuesdayJanuary 29 , 2019Systems of Equations Applicationsp. 15 - 17Homework 7:Systems Word ProblemsWednesday - MondayJanuary 30 to February 4Practice Test&Khan AcademyStudy for Unit 5 TEST!TuesdayFebruary 5, 2019TESTStudy Guide,and Khan Academy DUE!Elimination MazePractice - Solving Systems by Elimination

Solving systems of Equations BY GRAPHINGContent Objective: I can solve systems of linear equations in two variables graphicallyand algebraically.Language Objective: I can describe and explain in writing the graphic and algebraicsolutions to systems of linear equations.Main Idea SYSTEMS OFEQUATIONSGraphically : The point (x, y) where the two linesThe SOLUTION toa SystemAlgebraically : The point (x, y) that makes both equationsTypes of SolutionsINTERSECTING LINESPARALLEL LINESSAME LINEONE SOLUTIONNO SOLUTIONINFINITE SOLUTIONS1

EXAMPLES Write the system of equations and identify the solution.1System of Equations:Solution: 2System of Equations:Solution: 3System of Equations:Solution: 2

4System of Equations:Solution: 5System of Equations:Solution: 6System of Equations:Solution: 3

Solve a System by GRAPHINGEXAMPLES Solve the system of equations by graphing.1.2.y 4x 1y 2x 5y 52 x 8y 16 x 8Solution:Solution:3.4.y x 5y 3x 7Solution:y 34 x 8y 54 x 8Solution:4

5.6.y 13 x 2x 92x 3y 3y 3Solution:Solution:7.8.y 2x 25x 2y 14Solution:x 2y 10x 4y 8Solution:5

Solving systems of Equations BY substitution (Day 1)Content Objective: I can solve systems of linear equations in two variables graphicallyand algebraically.Language Objective: I can describe and explain in writing the graphic and algebraicsolutions to systems of linear equations.Solving Systems by SUBSTITUTIONSteps to Solve1. Look for an equation that is solved for x and y.2. Substitute the expression into the other equation for that variable.3. Solve! Now you have one variable.4. Substitute your answer into either equation to find the other variable.5. Write your answer as an ordered pair, (x, y).EXAMPLES Solve the system of equations by substitution.1. y x 9y 4x 242. y 8x 14y 5x 116

3. 5x 4y 7y 2x 84. y 4x 23 4x 3y 135. y 43x 5y 236. y x 82x 2y 167. 4x 9y 48x 38. x y 1y x 47

Solving systems of Equations BY substitution (Day 2)Content Objective: I can solve systems of linear equations in two variables graphicallyand algebraically.Language Objective: I can describe and explain in writing the graphic and algebraicsolutions to systems of linear equations.Substitution that requires ISOLATIONThe first step to solve system of equations by substitution is to look for anequation that is solved for x or y.If there is not an equation, you will need to create one!EXAMPLES Solve each system of equations using substitution.1. 3x y 88x 3y 192. x 2y 164x y 13. 2x 4y 25x y 64. 3x y 149x 3y 428

5. x 2y 188x 7y 176. 3x 2y 20x 7y 227. 3x 12y 6x 4y 88. x 4y 13x 9y 269. 8x 7y 21x y 1210. x y 11x 4y 299

Solving systems of Equations BY elimination (day 1)Content Objective: I can solve systems of linear equations in two variables graphicallyand algebraically.Language Objective: I can describe and explain in writing the graphic and algebraicsolutions to systems of linear equations.Solving Systems by ELIMINATIONSteps to Solve1. M ake sure the equations are lined up!2. I dentify a variable that has the same coefficient on both equations.3. Subtract the equations to eliminate this variable.4. Solve the equation for the remaining variable.5. Substitute your answer into either equation to find the other variable.6. Write your answer as an ordered pair, ( x, y ).EXAMPLES Solve each system of equations using elimination.1. y 9x 23y x 12. y 7x 5y 4x 610

3. y 5x 29y 7x 194. y 3x 15y 2x 85. x y 3x y 76. 7x 4y 117x 10y 2511

7. 4x 2y 30 x 2y 58. 5x 2y 254x 2y 189. 4x y 117x y 2610. 3x y 93x y 412

Solving systems of Equations BY elimination (day 2)Content Objective: I can solve systems of linear equations in two variables graphicallyand algebraically.Language Objective: I can describe and explain in writing the graphic and algebraicsolutions to systems of linear equations.What if there are NO COMMON COEFFICIENTS?EXAMPLES Solve each system of equations using elimination.1. x 3y 24x 7y 272. 7x 2y 32x 5y 473. 2x 5y 394x 3y 434. 4x y 163x 2y 1713

5. 3x 5y 242x y 166. 2x 3y 207x y 137. 2x 3y 15x 9y 28. 2x 5y 286x y 2814

Solving systems of Equations ApplicationsContent Objective: I can solve systems of linear equations in two variables graphicallyand algebraically.Language Objective: I can describe and explain in writing the graphic and algebraicsolutions to systems of linear equations.Many real world problems can be modeled and solved using asystem of equations.Use the process below to solve these problems.15

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Solving systems of linear inequalitiesContent Objective: I can solve systems of linear inequalities in two variables.Language Objective: I can describe and explain in writing the graphic and algebraicsolutions to systems of linear inequalities.Main Idea SYSTEMS OFLinear InequalitiesSOLUTIONto a System ofLinear InequalitiesESSENTIAL UNDERSTANDINGYou can graph the solutions of a system of linear inequalities in the coordinate plane. Thegraph of the system is the region where the graphs of the individual inequalities overlap.LINESSHADING18

EXAMPLES Solve the system of equations by graphing.1.y 2x 32x y 22.y 2x 4 3x 2y 63.y 5y 2x 34.y 14 xy x 419

EXAMPLES Write a system of inequalities for each graph.1System of Inequalities:2System of Inequalities:3System of Inequalities:4System of Inequalities:20

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Graphing Systems of Equations Review Partner Practice Friday January 11, 2019 Solving Systems of Equations by Substitution (Day 1) p. 6 - 7 Homework 2: Solving Systems by Substitution (Day 1) Monday January 14, 2019 Solving Systems of Equations by Substitution (Day 2) p. 8 - 9 Homework 3: Solving Systems by Substitution (Day 2) Tuesday January .