October 31, 2011 At the end of today, you will be able to: Solve linear equations by graphing. Determine what each system indicates about their solutions.

Slides:

Advertisements

Similar presentations

Classifying Systems of Linear Equations

Advertisements

4.7 Graphing Lines Using Slope Intercept Form

Systems of Equations OBJECTIVES To understand what a system of equations is. Be able to solve a system of equations from graphing the equations Determine.

Solving Special Systems

3.1 Solving Systems by Graphing or Substitution

Chapter 3 – Linear Systems

Classifying Systems of Linear Equations

3.2 – Solving Linear Equations by Graphing. Ex.1 Solve the equation by graphing. x – y = 1.

Solving Systems of Linear Equations by Graphing

3.1 Solve Linear Systems by Graphing. Vocabulary System of two linear equations: consists of two equations that can be written in standard or slope intercept.

3.1 Solving Linear Systems by Graphing Objective: solve a system of linear equations in two variables 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.

7.1 Solving Linear Systems by Graphing Systems of Linear Equations Solving Systems of Equations by Graphing.

Drill # 95 Graph the following linear equations (on the same graph)

TODAY IN ALGEBRA…  Warm Up: Graphing Linear Equations and solving for y.  Learning Goal: 7.1 You will solve systems on linear equations by Graphing 

Systems of Equations.

CCGPS Coordinate Algebra (2-4-13) UNIT QUESTION: How do I justify and solve the solution to a system of equations or inequalities? Standard: MCC9-12.A.REI.1,

December 7, 2012 Slope Intercept Form Warm-up: Find the slope of the line that goes through (3, -2) and (4, 7). Quiz Tuesday! HW 5.3: Pg. 275 #20-5,

Chapter 8 Section 1 Solving System of Equations Graphically.

SOLVING SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES.

Lesson 1-3, 1-4 Represent Functions as Graphs; Graphing Linear Equations using Intercepts.

Warm up: Solve the given system by elimination

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?

7-1 Graphing Systems of Equations SWBAT: 1) Solve systems of linear equations by graphing 2) Determine whether a system of linear equations is consistent.

3.1 WARM-UP Graph each of the following problems

Practice 1.) Solve for y : 4x + 2y = -8 2.) Solve for y: 3x – 5y = 10 3.) Graph the equation: 3x – 2y = 5 x y O

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

Chapter 13 Section 2 Solutions of Systems of Equations.

This screen shows two lines which have exactly one point in common. The common point when substituted into the equation of each line makes that equation.

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.

Warm-up 4-1. x – y = 33x + y = 52y = 6 – x x + y = 5x – 2y = 43x – 2y = 6 Graphs:

October 31, 2011 At the end of today, you will be able to: Solve linear equations by graphing. Determine what each system indicates about their solutions.

+ 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.

TODAY IN ALGEBRA 2.0…  Warm Up: Solving for y  Learning Goal 1: 3.1 You will solve linear systems by graphing  Independent Practice-Assignment #1 

Warm – up #4 1. A line passes through (3, 5) and (6, 14). What is the equation of the line in point- slope form? 2. Write an equation of a line parallel.

M3U2D2 Warmup Solve the system: 2x + y = 5 3x – 3y = 3 (2,1) Collect Warmups.

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.

Solving Systems By Graphing. Warm – Up! 1. What are the 2 forms that equations can be in? 2. Graph the following two lines and give their x-intercept.

TODAY IN ALGEBRA…  Warm Up: Writing equation in slope- intercept form, then identifying the slope and y-intercept  Learning Goal: 4.6 You will write.

Objective The student will be able to: solve systems of equations by graphing.

Prerequisite Skills Review 1.) Simplify: 8r + (-64r) 2.) Solve: 3x + 7(x – 1) = 23 3.) Decide whether the ordered pair (3, -7) is a solution of the equation.

Prerequisite Skills Review 1.) Simplify: 8r + (-64r) 2.) Solve: 3x + 7(x – 1) = 23 3.) Decide whether the ordered pair (3, -7) is a solution of the equation.

Copyright © 2014, The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

Objective: To solve a system of linear equations by graphing and substitution.

6-1 Graphing Systems of Equations N#_____ ____/____/____.

Lesson 4-1 Solving linear system of equations by graphing

Examples Section 1 Solving System of Equations by Graphing

7.1 Solving Systems of Equations by Graphing

5.1 Graphing Systems of Equations

Warm - Up Graph: 4x – 3y = 9.

6-1 Solving Systems by Graphing

Questions over hw? Elimination Practice.

Solve Linear Systems by Graphing

Solve Systems of Equations

Warm-Up What do you have to do to make this problem solvable?

9.6 Solving Systems of Equations by Graphing

SECTION 6-1 : SOLVING SYSTEMS WITH GRAPHING

Indicator 16 System of Equations.

Warm up: Solve the given system by elimination

Chapter 8 Systems of Equations 8.1 Solve Systems by Graphing

Graphing Systems of Equations

Chapter 6 Vocabulary (6-1)

Warm up Evaluate each expression for x = 1 and y = -3.

1.2 Solving Linear Systems by Graphing

3.1 Graphing Systems of Equations

Chapter 9 Lesson 3 Pg. 699 Solving Systems of Equations by Graphing

Chapter 9 Lesson 3 Pg. 699 Solving Systems of Equations by Graphing

Presentation transcript:

October 31, 2011 At the end of today, you will be able to: Solve linear equations by graphing. Determine what each system indicates about their solutions. Graph y = 2x – 3 1: Start at___________ 2: (up or down)____steps 3: right______step 4: Plot the point, and continue steps #1-4 to find more points. 5: Draw the line that goes through the points. 6: Label the line. y x y = 2 x – 3 HW 3.1 Pg. 113 #13-27 odd, 64

Use a straight edge, graph paper, and two different colored pencils to graph the following: 1.Graph two of the lines on the same graph: y = x – 1 and y = -x – 3 2.Graph:and 3. Graph: y = -2x + 4 and

What do the graphs of System of Equations tell you? Intersecting Lines Exactly one solution Parallel Lines No solution Same Line Infinitely many solutions Consistent and independent Consistent and dependent Inconsistent

A solution of the system of equations is the ordered pair where the two lines intersect. What point did the two lines in #1 intersect? So, (-1, -2) is the solution for the system: y = x – 1 and y = -x – 3

Example 1: Solve the system by graphing. 2x + y = -7 x – y = 1 *If the equations are in standard form, find the x- y-intercepts. 2x + y = -6 x-int (-3, 0) y-int (0, -6) x – y = 1 x-int (1, 0) y-int (0,-1)

Example 2: Graph the system and describe it as a consistent and independent, consistent and dependent, or inconsistent. 6x + 8y = -16 Use Slope Intercept Form or find the x-y- intercepts