Section 11.1: Solving Linear Systems by Graphing

Slides:

Advertisements

Similar presentations

Language Goal  Students will be able to identify solutions of systems of linear equations in two variables. Math Goal  Students will be able to solve.

Advertisements

3.1 Solving Systems by Graphing or Substitution

3.1 – Solve Linear Systems by Graphing A system of two linear equations in two variables x and y, also called a linear system, consists of two equations.

Solve Systems of Equations By Graphing

Monday, March 23 Today's Objectives

6-1 Solving Systems by Graphing

I can solve systems of equations by graphing and analyze special systems.

Slide Systems of Linear Equations A system of linear equations consists two or more linear equations.

Solve systems of equations by using graphs and tables. Classify systems of equations, and determine the number of solutions. 3-1 Notes Objectives system.

13.7 – Graphing Linear Inequalities Are the ordered pairs a solution to the problem?

You will need: -Spiral/paper to take notes -A textbook (in this corner =>) -The Pre-AP agreement if you have it signed.

SOLVING SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES.

The cost of bowling at bowling alley A or B is a function of the number of games g. Cost A = 2.5g + 2 Cost B = 2g + 4 When are the costs the same?

3.1 System of Equations Solve by graphing. Ex 1) x + y = 3 5x – y = -27 Which one is the solution of this system? (1,2) or (-4,7) *Check (1,2)Check (-4,7)

3.1 WARM-UP Graph each of the following problems

Monday, March 23 Solve system of linear equations by graphing. Check consistency and dependency of system of equations by graphing.

3.1 Solving equations by Graphing System of equations Consistent vs. Inconsistent Independent vs. Dependent.

Chapter 13 Section 2 Solutions of Systems of Equations.

infinitely many solutions

Essential Questions: When and how do you solve a system of equations using the substitution method? When and how do you solve a system of equations using.

Linear Systems of Equations Section 3.1. What is a “system” of equations?

Solving Systems of Equations by Graphing

3.1 – Solve Linear Systems by Graphing A system of two linear equations in two variables x and y, also called a linear system, consists of two equations.

Warm Up 1.) Find the x – intercept of the graph of y = |x + 1|. 2.) Express the cost C of x ball game tickets at a price of $18 per ticket.

3.1 Solving Systems Using Tables and Graphs When you have two or more related unknowns, you may be able to represent their relationship with a system of.

+ Unit 1 – First degree equations and inequalities Chapter 3 – Systems of Equation and Inequalities 3.1 – Solving Systems by Graphing.

Chapter 4: Systems of Equations and Inequalities Section 4.3: Solving Linear Systems Using Graphs.

3.1 Graphing Systems of Equations Objective – To be able to solve and graph systems of linear equations. State Standard – 2.0 Students solve systems of.

Holt Algebra Using Graphs and Tables to Solve Linear Systems Section 3.1 Using Graphs and Tables to Solve Linear Systems.

EXAMPLE 1 Solve a system graphically Graph the linear system and estimate the solution. Then check the solution algebraically. 4x + y = 8 2x – 3y = 18.

Chapter 5 Solving Systems of Linear Equations. Determine Whether a Given Ordered Pair is a Solution of a System Ex. 1.

Lesson 4-1 Solving linear system of equations by graphing

Chapter 3 Linear Systems Review

infinitely many solutions

Systems of Equations can be linear or non-linear

Chapter 3: Linear Systems and Matrices

Examples Section 1 Solving System of Equations by Graphing

10.1 SYSTEMS OF LINEAR EQUATIONS: SUBTRACTION, ELIMINATION.

Section 11.4: Solving Linear Systems by Multiplying First

Section 9.1: Solving Equations by Taking Square Roots

Section 12.1: Creating Linear Systems

Section 13.3: Solving Absolute Value Equations

Section 11.2: Solving Linear Systems by Substitution

Solving Linear Systems by Graphing

Lesson 5-1 Solving Systems by Graphing

Solve a system of linear equation in two variables

Solve Linear Systems Algebraically (part 2) Elimination

Grade Distribution 2nd 5th A 5 B 4 8 C 2 D F Avg 71.96

7.1 System of Equations Solve by graphing.

6-1 Solving Systems by Graphing

Section 13.1: Understanding Piecewise-Defined Functions

Solve Linear Systems by Graphing

Solve Systems of Linear Inequalities

Section 10.2: Fitting a Linear Model to Data

Graphing systems of linear equations and inequalities

Do Now 1/18/12 In your notebook, explain how you know if two equations contain one solution, no solutions, or infinitely many solutions. Provide an example.

Warm-up 1. Solve the system of equations 3x + 2y = 12 and x – y = – 1 graphically. 2. Solve the system. Then classify the system as consistent and independent,

Section 2.2: Solving Absolute Value Equations

Solving Trigonometric Equations (Section 5-3)

SECTION 6-1 : SOLVING SYSTEMS WITH GRAPHING

Indicator 16 System of Equations.

1.6 – Variables on Both Sides

Using Graphs and Tables to Solve Linear Systems 3-1

infinitely many solutions

Section 12.2: Graphing Systems of LInear Inequalities

1.2 Solving Linear Systems by Graphing

Objective: Students will solve systems by graphing

Section 2.3: Solving Absolute Value Inequalities

Section 13.2: Understanding Inverse Functions

Presentation transcript:

Section 11.1: Solving Linear Systems by Graphing

Objective(s): By following instructions, students will be able to: find the solution of a system of linear equations by graphing.

consistent system: a system with at least one solution independent solution- a system with only one solution dependent solution- a system with infinitely many solutions. inconsistent system: a system with no solutions.

explain 1A Solve the system of linear equations by graphing. Check your answer.

explain 1B Solve the system of linear equations by graphing. Check your answer.

Your-Turn #1 Solve the system of linear equations by graphing. Check your answer. a) b)

explain 2A Solve the system of linear equations by graphing and identify the system.

explain 2B Solve the system of linear equations by graphing and identify the system.

Your-Turn #2 Solve the system of linear equations by graphing. Check your answer. a) b)

explain 3A Estimate the solution of the linear system by using a graphing calculator.

explain 3B Estimate the solution of the linear system by using a graphing calculator.

Your-Turn #3 Estimate the solution of the linear system of equations by graphing. a) b)

explain 4 Rock and Bowl charges $2.75 per game plus $3 for shoe rental. Super Bowling charges $2.25 per game and $3.50 for shoe rental. For how many games will the cost to bowl be approximately the same at both places? What is that cost?

Revisit Objective(s): Did we.... find the solution of a system of linear equations by graphing?

HW: Sec 11.1 pg 394 #s 1-17 ODD, 18-24 even (skip 22)