Objective - To find solutions to linear equations. One-variable EquationsTwo-variable Equations 2x + 3 = 11 - 3 -3 2x = 8 2 x = 4 One Solution Two Solution.

Slides:

Advertisements

Similar presentations

Solving Equations = 4x – 5(6x – 10) -132 = 4x – 30x = -26x = -26x 7 = x.

Advertisements

Jeopardy Basic Graphs Forms of Linear Functions Graphing Equations Literal Equations

Systems of Linear Equations Vocabulary. This is a System of Linear Equations.

Vocabulary Chapter 6.

Objective - To graph linear equations using x-y charts. One Variable Equations Two Variable Equations 2x - 3 = x = 14 x = 7 One Solution.

Thinking Mathematically Algebra: Graphs, Functions and Linear Systems 7.3 Systems of Linear Equations In Two Variables.

l l l l l l l l x y z Notes Over 3.5 Calculating the Value of a Variable Find the value of y for the given value of x.

7.1 Graphing Linear Systems

4.2 Graphing linear equations Objective: Graph a linear equation using a table of values.

6.3 – Solving Systems of Linear Equations by Elimination.

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.

CHAPTER 7-1 SOLVING SYSTEM OF EQUATIONS. WARM UP  Graph the following linear functions:  Y = 2x + 2  Y = 1/2x – 3  Y = -x - 1.

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

Warm-Up 5 minutes 1) On the coordinate plane, graph two lines that will never intersect. 2) On the coordinate plane, graph two lines that intersect at.

Topics: Topic 1: Solving Linear Equations Topic 2: Solving Quadratic Equations Topic 3: Solving Proportions involving linear and quadratic functions. Topic.

Advanced Algebra Notes

Elimination Day 2. When the two equations don’t have an opposite, what do you have to do? 1.

Class 5: Question 1 Which of the following systems of equations can be represented by the graph below?

Section 4-1: Introduction to Linear Systems. To understand and solve linear systems.

Objective: To graph linear equations

Linear Equations in Two Variables A Linear Equation in Two Variables is any equation that can be written in the form where A and B are not both zero.

Solving Linear Inequalities Lesson 5.5 linear inequality: _________________________________ ________________________________________________ solution of.

Holt Algebra Solving Systems of Linear Inequalities Warm Up 1. Graph 2x – y > 4. Determine if the given ordered pair is a solution of the system.

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

Systems of Linear Equations in Two Variables. 1. Determine whether the given ordered pair is a solution of the system.

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

Topic: U4L2 Solving Nonlinear Systems of Equations EQ: How can I solve a system of equations if one or more of the equations does not represent a line?

Graphing Linear Equations 4.2 Objective 1 – Graph a linear equation using a table or a list of values Objective 2 – Graph horizontal or vertical lines.

Solving multi step equations. 12X + 3 = 4X X 12X + 3 = 3X X 9X + 3 = X = X =

Algebra 1 Foundations, pg 382  Students will be able to solve systems of equations by graphing. You can make a table, use the formula r * t = d, or write.

Today we will solve equations with two variables. Solve = figure out.

Algebra 1 Section 4.2 Graph linear equation using tables The solution to an equation in two variables is a set of ordered pairs that makes it true. Is.

Solving Systems of Equations in Three Variables Ordered Triple- The solution of a system of equations in three variables x,y, and z written as (x, y,

Simultaneous Equations 1

Chapter 7 – Systems of Linear Equations and Inequalities

6.6 Systems of Linear Inequalities

Notes Over 9.6 An Equation with One Solution

Linear Functions SOL 8.14, SOL 8.16, SOL 8.17.

Notes Over 4.2 Is a Solution Verifying Solutions of an Equation

3.2 Solve Linear Systems Algebraically

6-2 Solving Systems using Substitution

6-1 Solving Systems by Graphing

Solutions to Systems of Equations

Non-linear simultaneous equations

Systems of Linear Equations in Two Variables

Solve Systems of Equations

3.1 Notes: Solving Systems of Equations

Systems of Linear Equations

9.6 Solving Systems of Equations by Graphing

Indicator 16 System of Equations.

6-6 Systems of Linear Inequalities

5.1 Solving Systems of Equations by Graphing

Chapter 8 Systems of Equations 8.1 Solve Systems by Graphing

System of Linear Equations:

Systems of Equations Solve by Graphing.

Warm-Up 1) Sketch a graph of two lines that will never intersect.

7.2 Graphing Equations Objectives:

Solutions of Linear Functions

Chapter 8 Systems of Equations

1.2 Solving Linear Systems by Graphing

L3-3 Objective: Students will graph systems of linear inequalities

Objective: Students will solve systems by graphing

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

System of Equations Graphing methods.

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

Solving a System of Linear Equations

Ch. 6 Vocabulary 7.) Substitution method (6-2) 8.) Elimination method (6-3)

Equations With Two Variables pages

Indicator 16 System of Equations.

Presentation transcript:

Objective - To find solutions to linear equations. One-variable EquationsTwo-variable Equations 2x + 3 = x = 8 2 x = 4 One Solution Two Solution y = 2x + 1 x = 1y = 3 x = 2y = 5 x = 3y = 7 x = 4y = 9 x = -5y = -9 y = 2 Infinite Solutions (1, 3) (2, 5) (3, 7) (4, 9) (-5, -9) Ordered pairs xy

Linear Equations? y = 2x + 1 x -22(-2) + 1= -3 2(-1) + 1= -1 02(0) + 1= 1 12(1) + 1= 3 22(2) + 1= 5 32(3) + 1= 7 42(4) + 1= 9 y x y = 2x + 1 This line represents all the solutions to y = 2x + 1

Linear EquationsNon-linear Equations

Solve the following equations for y in terms of x. 1) 3x + y = 73) x + y = 9 -3x y = -3x + 7 -x y = -x + 9 2) 2x + 3y = 94) 4x - y = 11 -2x 3y = -2x x -y = -4x

Solve for y in terms of x.

Solve for y in terms of x and complete the table of values. x

Solve the following equation for y and complete the table of values. x

Translate the sentence into an equation, solve the equation for y, and complete the table of values. x ) The difference of 3 times a number x and 4 times a number y is 20.

Write an equation that represents the problem situation, solve for y, and list all possible solutions using the table. Jeff spends $12 on, y, hamburgers that are $3 each, and, x, hot dogs that are $2 each. How many of each can he buy? x (x,y) =(0, 6), (2, 3), (4, 0)