Graphing Inequalities Teacher Notes

Slides:

Advertisements

Similar presentations

5.7 Quadratic Inequalities

Advertisements

Linear Inequalities in 2 Variables

©Evergreen Public Schools /1/2011 Graphing Inequalities Teacher Notes Supplies Needed : graph paper rulers calculators Northwest Gift Company Task.

©Evergreen Public Schools /31/2011 Systems of Inequalities Teacher Notes Supplies: Notes: Vocabulary:

Objective Graph and solve systems of linear inequalities in two variables.

EXAMPLE 4 Graph a linear inequality in one variables Graph the inequality y  –3. SOLUTION Graph the equation y = –3. The inequality is , so use a solid.

Systems of Linear Inequalities.  Two or more linear inequalities together form a system of linear inequalities.

Warm - Up Graph the linear equation 2y + 4x = -2..

6-1 Solving Inequalities by Addition and Subtraction Objective: Students will be able to solve linear inequalities by using addition and subtraction.

EOC Practice #18 SPI EOC Practice #18 Solve systems of linear equations/inequalities in two variables.

7.1 SOLVING SYSTEMS BY GRAPHING The students will be able to: Identify solutions of linear equations in two variables. Solve systems of linear equations.

Unit 1 Test Review Answers

Graph Linear Inequalities Teacher Notes

Algebra 2 Graphing Linear Inequalities in Two Variables.

Lesson 3-5: Solving Equations with the Variable on Each Side.

Linear Inequalities And Absolute Value Solving Inequalities Multiplication/Division “ALGEBRA SWAG” “ALGEBRA SWAG” -

3.6 Solving Absolute Value Equations and Inequalities

Graphing Systems of Linear Inequalities It is assumed you already know how to graph a linear inequality, which was discussed in a previous module. Graphing.

Ch. 3.3: Graphing and Solving Systems of Linear Inequalities Goals Graph a system of linear inequalities to find the solutions of the system. Use systems.

3-1 & 3-2 Vocabulary 1.) Solution of an inequality 2.) Equivalent inequalities.

Algebra I Section 5-6 Graphing Inequalities in Two Variables.

Warm - Up Solve the system algebraically: x + ½y = 5 3y – 2x = 6.

Coins Quandary Teacher Notes Vocabulary: system of equations Prepare 1 box (or envelope) per student. Supplies: pennies & nickels boxes or containers that.

MM2A4. Students will solve quadratic equations and inequalities in one variable. d. Solve quadratic inequalities both graphically and algebraically, and.

Solving Linear Systems by Substitution

Graphing Inequality Systems

SystemsOfInequalities. 7-1 Solving Systems by Graphing What is a system of linear equations? “SOLUTION” No solution Infinitely Many Solutions Page 342.

Graphing Linear Inequalities in Two Variables Objective: Graph all of the solutions to a linear inequality.

Prerequisite Skills VOCABULARY CHECK Copy and complete the statement. 2. The graph of a linear inequality in two variables is the set of all points in.

Use graphing to solve this system. 1. y = 2x y = -x + 3 Use substitution to solve this system. 2. y = x-2 -2x -4y = 4 Use elimination to solve this system.

EXAMPLE 2 Graph a linear inequality in two variables Graph the inequality y > 4x – 3. STEP 2 0 > 4(0) – 3 ? Test (0, 0) in y > 4x – 3. SOLUTION Graph the.

Notes Over 1.6 Solving an Inequality with a Variable on One Side Solve the inequality. Then graph your solution. l l l

Algebra 2 – 2.6 LINEAR INEQUALITIES IN 2 VARIABLES.

Algebra 1 Section 7.6 Solve systems of linear inequalities The solution to a system of linear inequalities in two variable is a set of ordered pairs making.

Solving Equations A. CED

Objectives: Graph (and write) inequalities on a number line.

Linear Inequalities in One Variable

Algebra 1 Section 6.5 Graph linear inequalities in two variables.

3.3 – Solving Systems of Inequalities by Graphing

Section 7.5 Systems of Linear Inequalities

6-6 Systems of Linear Inequalities

10.8 Systems of Second-Degree Equations and Inequalities

Learning Target I can solve and graph multi-step, one-variable inequalities using algebraic properties.

Solving Linear Equations

Learning Target I can solve systems of linear inequalities by graphing.

Standards MGSE 9-12.A.REI.12 Graph the solution set to a linear inequality in two variables.

Solving Systems of Linear Inequalities

Solve a system of linear equation in two variables

2.7 Two-variable inequalities (linear) 3.3 Systems of Inequalities

Warm Up Graph y = 4x and 16, $10’s and 7 $20’s.

Solve Systems of Linear Inequalities

Systems of Linear and Quadratic Equations

Systems of Inequalities Teacher Notes

Systems with Quadratic Equations

of Linear Inequalities

Solve Systems of Linear Inequalities

Objective Graph and solve linear inequalities in two variables.

Algebra EquationsJeopardy

Warm Up Graph y = 4x and 16, $10’s and 7 $20’s.

Algebra 1B – Name: _________________________

Section Graphing and Solving Systems of Linear Inequalities

Section 6.6 Day 1 Solving Systems of Inequalities

L1-4 Algebra 2.

Graph Linear Inequalities in Two Variables

Learning Target Students will be able to: Graph and solve linear inequalities in two variables.

Chapter 2 Section 7 Two-Variable Inequalities

Use Graphs of Functions

Warm- Up: Solve by Substitution

6-6 Systems of Linear Inequalities

Presentation transcript:

Graphing Inequalities Teacher Notes Supplies Needed: graph paper rulers calculators Northwest Gift Company Task apples, pears, boxes and baskets cut from the task Vocabulary 2/1/2011 ©Evergreen Public Schools 2011

2-7 Solving Equations With Algebra Tiles powerpoint Learning Target I can write and solve inequality word problems with two variables by graphing. What do you already know about this target? M1.1.C Solve problems that can be represented by a system of two linear equations or inequalities. M1.3.E Write and solve systems of two linear equations and inequalities in two variables. ©Evergreen Public Schools 2011

©Evergreen Public Schools 2011 Launch Graph the inequality y ≥ x + 5 How might you start? Is (2, 4) a solution? Is (-1, 5) a solution? How do you know? Start by graphing the line y = x + 5. Graph a solid line since ≥. Test a point to determine which side to shade. (0, 0) is a good point to test. ©Evergreen Public Schools 2011

©Evergreen Public Schools 2011 Explore ©Evergreen Public Schools 2011

Shading Investigation ©Evergreen Public Schools 2011