3.2 Solving By Graphing
3.2 Solving by GraphingSWBAT solve a system of equations by graphing.AssignmentsHW19
Looking at the graph,name some solutions ofthe equation π¦ 2π₯ 1 Name some solutions of1the equation π¦ π₯ 6.4 Are there any solutionsthat are the same? Solutions of systems canbe found by looking atwhere the graphsintersect
Find the solutions
Solve the system bygraphing.π¦ 3π₯ 21π¦ π₯ 83π¦ π₯ 11.12π¦ π₯ 4135 π₯3π¦ π₯ 32.π¦ 1π¦ π₯ 13.π¦ π₯ 3Your turn! Complete # 1-10 onCW19.
3.3 Systems of InequalitiesSWBAT visually represent solutions to systems of inequalities.Assignments:HW19
Review Steps to graphing an inequality1.Determine slope and y-intercept and plot points2.Dotted or solid?3.Arrows up or down?4.Shade side with arrows
Solve the system ofinequalities.4π¦ π₯ 131π¦ π₯ 2313π¦ π₯ 31.2.13π¦ π₯ 1π¦ 2π₯ 3π¦ 2π₯ 1Your turn! Complete #11-20 onCW19.
Algebra 1Name I2w0 1b9\ FKQuetxah GSXo fvtKwlaQrYe dLVLOCj.r x yA ltlT orEidgRh\tCsr lrRetseeSrAvLe dL.CW19: Graphing SystemsDate PeriodSolve each system by graphing.1) y -x - 3y -6x 22) y x 1y -x 3y-5-4-3-2y5544332211-112345 x-5-4-3-2-1-1-1-2-2-3-3-4-4-5-573) y - x 337y - x 43-4-3-22345 x12345 x14) y - x - 435y x 23y-51y5544332211-112345 x-5-4-3-2-1-1-1-2-2-3-3-4-4-5-5Worksheet by Kuta Software LLC-1- j [2q0D1C9 KFugtya rSGoNfWtPw]agrFey QLCLeC .c R kALlNlD RrkiwgDh tmso jrUegsteHr[vRe\dp.D y HM ahdKeA XwwiOtDhc gIcnHftiPnEittVen ]ASlagaeYbxrRam l1h.
55) y - x 231y - x-2316) y - x 141y x 42y-5-4-3-2y5544332211-112345 x-5-4-3-2-1-1-1-2-2-3-3-4-4-5-57) y 6x 2y x-312345 x12345 x18) y - x 121y x 32y54y352413-5-4-3-2-112345 x2-11-2-5-3-4-3-2-1-1-4-2-5-3-4-5Worksheet by Kuta Software LLC-2- l q2S0Q1P9f KFuvt\a] CSMoufCtCwyaUrWeg OLuLyCm.G v WAPlvld UreiagshdthsZ urgeisXeQrevke dR. q jMUaUdCeT EwRirtshk FI n fWiznjiotUee ANlegHeCbZrLa[ 1i.
10) y 2x 22y x-2319) y x 32y 4x - 4y-5-4-3-2y5544332211-112345 x-5-4-3-2-1-1-1-2-2-3-3-4-4-5-512345 x12345 x12345 xSketch the solution to each system of inequalities.211) y x 332y x-33412) y x - 131y x 23y-5-4-3-2y5544332211-112345 x-5-4-3-2-1-1-1-2-2-3-3-4-4-5-514) y -6x - 3y -x 2513) y - x 331y x-33y54y352413-52-4-3-2-1-11-2-5-4-3-2-112345 x-3-1-4-2-5-3-4-5Worksheet by Kuta Software LLC-3- e l2h0X1T9K eKNuStoaU mSxoHfRtOwWaPr]eh cLhLNCX.z j zAhlYlZ [rticgnhatSsk krMetsKeCrgvue dt.Z y JM\aud eN HwwiAtsht [Ifn fGiDniiltZe aAQlwgHe bzrUaM S1e.
115) y Β³ x 335y - x-33116) y x - 234y x 13y-5-4-3-2y5544332211-112345 x-2-2-1-2-3-3-4-4-5-512345 x12345 x12345 x218) y x - 13y 2x 3y-3-3-25-4-4-117) y 2x - 2y 2-5-5-1y45342312-1123415 x-1-5-4-3-2-1-2-1-3-2-4-3-5-4-519) y Β³ 2x - 3y -x 320) y -x - 3y 2x 3y-5-4-3-2y5544332211-112345 x-5-4-3-2-1-1-1-2-2-3-3-4-4-5-5Worksheet by Kuta Software LLC-4- D N2B0K1q9G XKKuctKac DSloSfttXwLa\rDeT CLdLNCE.y K xArlflX urli\gahBtasv DrTecsjeGrDvyeCde.j K aMPa[dYei wwSiZtEhn NIdn fhi]nhiAtneI PALlxgMewbUrTam y1M.
Answers to CW19: Graphing Systems1) (1, -4)5) (3, -3)9) (2, 4)2) (1, 2)6) (-4, 2)10) (-3, -4)4) (-3, -3)8) (-2, 2)3) No solution7) (-1, )-414)y-4-2-2-2-2-4-4-4Worksheet by Kuta Software LLC-5- P Z2M0Q1b9d tKEuethas lSrovfytMweaqrXer pLsLDCi.t y xAdlBlV CrUiRgNhMt sH mrTeasneIrWvaendw.Z g jMaaTdOeI Ew[iGtzhO gIdntfDiEnKiotLeI cAGlagKeIbdrVaD R1b.
Worksheet by Kuta Software LLC-5-Answers to CW19: Graphing Systems 1) (1, -4) 2) (1, 2) 3) No solution4) (-3, -3) 5) (3, -3) 6) (-4, 2) 7) (-1, -4) 8) (-2, 2) 9) (2, 4) 10) (-3, -4) 11) x y-4-224-4-2 2 4 12) x y-4-224-4-2 2 4 13) x y-4-224-4-2 2 4 14) x y-4-224-4-2 2 4 15) x y-4-224-4-2 2 4
UNIT 6: SYSTEMS OF LINEAR EQUATIONS Topic 1: Graphing and Substitution Lesson 1: Solving Systems by Graphing (pg. 5) Lesson 2: More Practice with Solving Systems by Graphing (pg. 13) Lesson 3: Solving Systems by Substitution (pg. 17) Lesson 4: Solving Systems by Substitution Using Isolation (pg. 21) Topic 2: Elimination
KEY: system of linear equations graphing a system of linear equations 2. ANS: D PTS: 1 DIF: L2 REF: 6-1 Solving Systems By Graphing OBJ: 6-1.1 Solving Systems By Graphing STA: CA A1 9.0 TOP: 6-1 Example 1 KEY: system of linear equations graphing a system of linear equations 3.
9.1 Properties of Radicals 9.2 Solving Quadratic Equations by Graphing 9.3 Solving Quadratic Equations Using Square Roots 9.4 Solving Quadratic Equations by Completing the Square 9.5 Solving Quadratic Equations Using the Quadratic Formula 9.6 Solving Nonlinear Systems of Equations 9 Solving Quadratic Equations
The Enhanced with Graphing Utilities Series xx Preface to the Instructor xxi Applications Index xxix To the Student xxxiv 1 Graphs 1 1.1 Graphing Utilities; Introduction to Graphing Equations 2 Graph Equations by Plotting Points Graph Equations Using a Graphing Utility Use a Graphing Utility to Create Tables Find Intercepts from a
All graphing utilities (graphing calculators and computer software graphing packages) graph equations by plotting points on a screen. The screen of a graphing utility will display the coordinate axes of a rectangular coordinate system.
Section 5.1 Solving Systems of Linear Equations by Graphing 237 Solving Systems of Linear Equations by Graphing The solution of a system of linear equations is the point of intersection of the graphs of the equations. CCore ore CConceptoncept Solving a System of Linear Equations by Graphing Step
0 Systems of Equations and Inequalities 3-1 Solving Systems of Equations by Graphing 116 3-2 Solving Systems of Equations Algebraically .ft.Y. 123 3-3 Solving Systems of Inequalities by Graphing Xfi 0. . 130 Graphing Calculator Lab: Systems of Linear I n e q u a l i t i e s . & . . C . . . 3 - I 3 6 M i d - C h a p t e r Q u i z . . . . . . .
2 Solving Linear Inequalities SEE the Big Idea 2.1 Writing and Graphing Inequalities 2.2 Solving Inequalities Using Addition or Subtraction 2.3 Solving Inequalities Using Multiplication or Division 2.4 Solving Multi-Step Inequalities 2.5 Solving Compound Inequalities Withdraw Money (p.71) Mountain Plant Life (p.77) Microwave Electricity (p.56) Digital Camera (p.
