Algebra A NAme: Unit 4: Solving And Graphing Inequalities Hour

Algebra AUnit 4: Solving and Graphing cember 4, 2018Inequalities and Their Graphsp. 1 - 3Homework 1:Inequalities and Their GraphsWednesdayDecember 5, 2018Solve Inequalities usingAddition and Subtractionp. 4 - 5Homework 2:Solving Inequalities usingAddition and SubtractionThursdayDecember 6, 2018Solving Inequalities usingMultiplication and Divisionp. 6 - 7Homework 3:Solving Inequalities usingMultiplication and DivisionFridayDecember 7, 2018Solve Multi-Step Inequalitiesp. 8 - 9Homework 4:Solving Multi-Step InequalitiesMondayDecember 10, 2018ReviewHomework 5:Solving Inequalities ReviewTuesdayDecember 11, 2018Solve Compound Inequalitiesp. 10 - 11Homework 6:Solving Compound InequalitiesWednesdayDecember 12, 2018Solve Absolute Value Equationsand Inequalitiesp. 12 - 13Homework 7:Solving Absolute Value Equationsand InequalitiesThursdayDecember 13, 2018ReviewHomework 8:Solving Compound & Absolute ValueEquations and Inequalities ReviewFridayDecember 14, 2018Graphing Linear Inequalitiesp. 14 - 15Homework 9:Graphing Linear InequalitiesMondayDecember 17, 2018ReviewSolving and Graphing InequalitiesUnit ReviewTuesdayDecember 18, 2018Practice TestStudy for Unit 1 TEST!WednesdayDecember 19, 2018Khan AcademyStudy for Unit 1 TEST!ThursdayDecember 20, 2018TESTQUIZQUIZ

Inequalities and their graphsContent Objective: I can write, graph, and identify solutions of inequalities.Language Objective: I can use mathematical vocabulary to explain the process ofwriting, graphing, and identifying solutions of inequalities.ESSENTIAL UNDERSTANDING:An inequality is a mathematical sentence that uses an inequality symbolto compare the values of two expressions.You can use a to visually represent thevalues that satisfy an inequality.Key Words and Ideas Greater thanLess ThanGreater thanor equal toLess than orequal toOpen⃝Closed Right Left 1

WRITING INEQUALITIES INEQUALITIES What inequality represents the verbal expression?I DoWe DoAll real numbers x less than or v is greater than or equal to 5equal to 76 less than a number k isgreater than 13The sum of t and 7Is less than 3You Dob is less than 4The quotient of k and 9 isgreater than 13IDENTIFYING SOLUTIONS BY EVALUATINGA solution of an inequality is any number that makes the inequality Is the number a solution of 2x 1 3 ?(HINT: Use what you know about evaluating functions!) 3 12

GRAPHING INEQUALITIES INEQUALITIES Graph each inequality.I DoWe DoYou Do2 ax 4c 0WRITING AN INEQUALITY FROM A GRAPH GRAPH What inequality represents the graph?I DoWe DoYou DoWRITING REAL-WORLD INEQUALITIES INEQUALITIES What inequality describes the situation?Be sure to define the variable.I DoThe restaurant can seat atmost 172 people.We DoYou DoA person must be at least 35 A law clerk has earned morethan 20, 000 sinceyears old to be electedPresident of the United States.being hired.3

Solving inequalities using addition and subtractionContent Objective: I can use addition or subtraction to solve inequalities.Language Objective: I can use mathematical vocabulary to explain the process ofsolving inequalities using addition or subtraction.ESSENTIAL UNDERSTANDING:Just as you used properties of equality to solve equations,you can use properties of inequality to solve inequalities!USING THE ADDITION PROPERTY OF INEQUALITYSolve each inequality. Graph your solutions.I DoWe DoYou Dox 15 12 6 c 2t 4 74

USING THE SUBTRACTION PROPERTY OF INEQUALITYSolve each inequality. Graph your solutions.I DoWe DoYou Dot 6 4x 5 10 1 5 bWRITING AND SOLVING AN INEQUALITYJosh can bench press 220 pounds. He wants Your goal is to take at least 10,000 steps perto bench press at least 250 pounds.day. According to your pedometer, you havewalked 5,274 steps per day.Write and solve an inequality to determinehow many more pounds Josh must lift toWrite and solve an inequality to find thereach his goal.possible numbers of steps you can take toreach your goal.5

Solving inequalities using multiplication and divisionContent Objective: I can use multiplication or division to solve inequalities.Language Objective: I can use mathematical vocabulary to explain the process ofusing multiplication or division to solve inequalities.ESSENTIAL UNDERSTANDING:Just as you used multiplication and division to solve equations,you can use multiplication and division to solve inequalities.Positive NumbersNegative NumbersRecall ReciprocalMULTIPLYING AND DIVIDING BY A POSITIVE NUMBERSolve each inequality. Graph your solutions.I Dox3 2We DoYou Do3m 68 23 k6

MULTIPLYING AND DIVIDING BY A NEGATIVE NUMBERSolve each inequality. Graph your solutions.I DoWe DoYou DoMultiplying by a Negative Number 32 b 60 Dividing by a Negative Number 30 5c w4 3 5h 653m11 12x 132WRITING AND SOLVING AN INEQUALITYYou walk dogs in your neighborhood after Text messages cost .15 each. You can spendschool. You earn 4.50 per dog.no more than 10 .How many dogs do you need to walk toearn at least 75 ?How many text messages can you send?7

Solving multi-Step inequalitiesContent Objective: I can solve multi-step inequalities.Language Objective: I can use mathematical vocabulary to explain the process ofsolving multi-step inequalities.ESSENTIAL UNDERSTANDING:You solve a multi-step inequality the same way you solve a one-step inequality.You use the properties of inequality to transform the original inequalityinto a series of simpler, equivalent inequalities.USING MORE THAN ONE STEPSolve each inequality. Graph your solutions.I DoWe DoYou Do9 4t 21 4 5 3n50 0.8x 30USING THE DISTRIBUTIVE PROPERTYSolve each inequality. Graph your solutions.I DoWe DoYou Do3(t 1) 4t 515 5 2(4m 7)2(t 1) 3t 28

SOLVING AN INEQUALITY WITH VARIABLES ON BOTH SIDESSolve each inequality. Graph your solutions.I DoWe DoYou Do6n 1 3n 83b 12 27 2b18x 5 3(6x 2)INEQUALITIES WITH SPECIAL SOLUTIONSWhen the inequality is true true , the solution to the inequality are When the inequality is false false , the inequality has What are the solutions ofWhat are the solutions of10 8a 2(5 4a) ?6m 5 7m 7 m ?9

Compound inequalitiesContent Objective: I can solve and graph inequalities containing the word andI can solve and graph inequalities containing the word orLanguage Objective: I can use mathematical vocabulary to explain the process ofsolving compound inequalities.Key Terms CompoundInequalityWRITING A COMPOUND INEQUALITYWhat compound inequality represents the phrase? Graph the solutions.I DoWe DoYou DoAll real numbers that aregreater than 2 andless than 6All real numbers that are lessthan 0 or greater than orequal to 5All real numbers that aregreater than or equalto 4 and less than 610

SOLVING A COMPOUND INEQUALITY INVOLVING “AND”Find and graph the solutions.I DoWe Do 3 m 4 1 2 3y 4 14You Do 3 6 q9 3SOLVING A COMPOUND INEQUALITY INVOLVING “OR”Find and graph the solutions.I DoWe Do 3 m 4 1 2 3y 4 1411You Do 3 6 q9 3

Absolute value equations and inequalitiesContent Objective: I can solve equations and inequalities involving absolute value.Language Objective: I can use mathematical vocabulary to explain the process ofsolving equations and inequalities involving absolute value.ESSENTIAL UNDERSTANDING:You can solve absolute value equations and inequalities by first isolating the absolute valueexpression, if necessary. Then write an equivalent pair of linear equations or inequalities.SOLVING AN ABSOLUTE VALUE EQUATIONSolve each equation. Graph your solutions.I DoWe DoYou Do x 2 9 3 m 94 y SOLVING AN ABSOLUTE VALUE EQUATION WITH NO SOLUTIONSolve each equation. If there is no solution, write “not solution”.I DoWe DoYou Do3 2z 9 12 10 3x 6 5 7 4 k 1212

Absolute Value Inequalities Involving Absolute Value Inequalities Involving SOLVING ABSOLUTE INEQUALITIESSolve each equation. Graph your solutions. 8n 24 w 13 5 2c 5 9 3t 1 8 3d 6.3 2f 9 1313

Graphing Linear inequalitiesContent Objective: I can graph linear equations in two variables.Language Objective: I can use mathematical vocabulary to explain the process ofgraphing linear equations in two variables.ESSENTIAL UNDERSTANDING:A linear inequality in two variables has an infinite number of solutions.These solutions can be represented in the coordinate planeas the set of all points on one side of the boundary line.Main Idea GRAPHING A LINEAR INEQUALITY IN TWO VARIABLESGraph each inequality in the coordinate plane.I DoWe DoYou Doy x 25x 3y 15y x14

GRAPHING A LINEAR INEQUALITY IN ONE VARIABLEGraph each inequality in the coordinate plane.An inequality in one variable can be graphed on anumber line or in the coordinate plane.The boundary line will be a or line.x 1y 2WRITING AN INEQUALITY FROM A GRAPHWrite a linear inequality that represents each graph.I DoWe Do15You Do

and Inequalities Thursday December 13, 2018 Review Homework 8: Solving Compound & Absolute Value Equations and Inequalities Review Friday December 14, 2018 QUIZ Graphing Linear Inequalities p. 14 - 15 Homework 9: Graphing Linear Inequalities Monday December 17, 2018