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

Slides:



Advertisements
Similar presentations
Chapter 6.1 Common Core – A.REI.6 Solve systems of linear equations exactly and approximately, focusing on pairs of liner equations in two variables. Objectives.
Advertisements

SOLUTION EXAMPLE 1 A linear system with no solution Show that the linear system has no solution. 3x + 2y = 10 Equation 1 3x + 2y = 2 Equation 2 Graph the.
Vocabulary Chapter 6.
3-6 Solving Systems of Linear Equations in Three Variables Objective: CA 2.0: Students solve systems of linear equations and inequalities in three 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.
Do Now Pass out calculators. Solve the following system by graphing: Graph paper is in the back. 5x + 2y = 9 x + y = -3 Solve the following system by using.
Thinking Mathematically Algebra: Graphs, Functions and Linear Systems 7.3 Systems of Linear Equations 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.
Math 71A 3.1 – Systems of Linear Equations in Two Variables 1.
Systems of Equations Substitution Elimination Inequalities Systems of Inequalities Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500.
Graphing Linear Inequalities
3x – 5y = 11 x = 3y + 1 Do Now. Homework Solutions 2)2x – 2y = – 6 y = – 2x 2x – 2(– 2x) = – 6 2x + 4x = – 6 6x = – 6 x = – 1y = – 2x y = – 2(– 1) y =
7.3 Solving Systems of Equations by Elimination (Addition & Subtraction) Solve by Elimination Example Problems Practice Problems.
Chapter 6 – Solving and Graphing Linear inequalities
GraphingSubstitutionEliminationNon-LinearInequalities
Solving Systems Using Elimination
Math /4.2/4.3 – Solving Systems of Linear Equations 1.
3.6 Solving Absolute Value Equations and Inequalities
5.2 – Solving Inequalities by Multiplication & Division.
Solving Linear Inequalities Lesson 5.5 linear inequality: _________________________________ ________________________________________________ solution of.
Chapter 4 Section 4.6 Solving Systems of Linear Inequalities.
9.3 – Linear Equation and Inequalities 1. Linear Equations 2.
Systems of Equations Standards: MCC9-12.A.REI.5-12
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
Math Graphing Linear Inequalities in Two Variables 1.
6-1 Solving Systems by Graphing 6-2 Solving Systems by Substitution 6-3 Solving Systems by Elimination 6-4 Solving Special Systems 6-5 Applying Systems.
One Step Equations and Inequalities Review
6.5 Solving System of Linear Inequalities: VIDEOS equations/v/solving-linear-systems-by-graphing.
Solve Linear Systems by Elimination February 3, 2014 Pages
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.
Graphing Linear Inequalities in 2 Variables By Tristen Billerbeck.
Solving inequalities. An equation. Solve this and graph the answer on a number line: x - 2 = 5.
Warm-Up Solve the system by graphing y = x + 2 x = −3 Solve the system by graphing 4x + y = 2 x − y = 3.
Algebra 2 Chapter 3 Review Sections: 3-1, 3-2 part 1 & 2, 3-3, and 3-5.
Systems of Equations can be linear or non-linear
10.1 SYSTEMS OF LINEAR EQUATIONS: SUBTRACTION, ELIMINATION.
Objective The student will be able to:
Students will be able to:
Algebra 1 Section 6.5 Graph linear inequalities in two variables.
3.3 – Solving Systems of Inequalities by Graphing
10.3 Solving Linear Systems
Bell Work Solve the system of equations using elimination. 3x – 4y = 10 3y = 2x - 7.
6-6 Systems of Linear Inequalities
6-6 Systems of Linear Inequalities
Solving System of Linear Equations
Chapter 7 – Systems of Linear Equations and Inequalities
Solving Linear Systems Algebraically
Solve a system of linear equation in two variables
Jeopardy- Systems Systems of Inequalities Systems of Equations
Warm Up Graph y = 4x and 16, $10’s and 7 $20’s.
Chapter 4: Solving Inequalities
Solutions of Equations and Inequalities
Before: December 4, 2017 Solve each system by substitution. Steps:
Solve and Graph 2x + 3 < 9 2x + 3 = x = x = 3
Solve Systems of Linear Inequalities
Objective Graph and solve linear inequalities in two variables.
Solving systems using substitution
Warm Up Graph y = 4x and 16, $10’s and 7 $20’s.
Systems of Equations Solve by Graphing.
Systems of Linear Inequalities
Integrated Math One Module 5 Test Review.
7.1 Solving Systems of Equations
Lesson 0 – 8 Systems of Linear Equations
Learning Target Students will be able to: Graph and solve linear inequalities in two variables.
Notes Over 6.1 Graphing a Linear Inequality Graph the inequality.
6-6 Systems of Linear Inequalities
Presentation transcript:

SystemsOfInequalities

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

7-2 Solving Systems Using Substitution Substitute one variable for its equivalent from the other equation. 2x - y = 3 y = -6x +13

7-3 Solving Systems Using Elimination Addition and Subtraction Multiplication

7-4 Applications of Linear Systems Word problems Define two variables Write two equations

7-5 Linear Inequalities Graph like equations Shade “ABOVE OR BELOW” TEST THE SOLUTION Exceptions

y < 2x + 5

7-6 Systems of Linear Inequalities Graph like equations Shade “ABOVE OR BELOW” on both TEST THE SOLUTION Could be three or more

y > -x +2 y < 2x + 5