Systems Jeopardy 400 300 200 100 PotpourriEliminationSubstitutionGraphing.

Slides:

Advertisements

Similar presentations

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.

Advertisements

Solving Systems of Equations and Inequalities Jeopardy

6.1 – Graphing Systems of Equations

3.5 Solving systems of equations in 3 variables

Write and graph a direct variation equation

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

7.1 Graphing Linear Systems

Math 71A 3.1 – Systems of Linear Equations in Two Variables 1.

Systems Warm-Up Solve each linear system. 1.x + 7 = y -4x + 2 = y 2.x + 2y = 10 3y = 30 – 2x.

Substitution. There are 3 different ways to solve linear equations: 1. Substitution 2. Elimination 3. Graphing We will focus on a new one each day. Today.

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

Substitute 0 for y. Write original equation. To find the x- intercept, substitute 0 for y and solve for x. SOLUTION Find the x- intercept and the y- intercept.

Substitute 0 for y. Write original equation. To find the x- intercept, substitute 0 for y and solve for x. SOLUTION Find the x- intercept and the y- intercept.

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 =

System of Linear Equations with One Solution Solve the given system of linear equations by graphing both equations on the same integer screen. 1. The point.

Substitution Method: 1. Solve the following system of equations by substitution. Step 1 is already completed. Step 2:Substitute x+3 into 2 nd equation.

Math /4.2/4.3 – Solving Systems of Linear Equations 1.

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)

3.6 Solving Absolute Value Equations and Inequalities

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.

Section 5.3 Solving Systems of Equations Using the Elimination Method There are two methods to solve systems of equations: The Substitution Method The.

Graphing Systems Substitution.

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.

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

Solving System of Equations that have 0, 1, and Infinite Solutions

Ch 7: System of Equations E) Parallel & Same Lines Objective: To identify the number of solutions of a system of linear equations.

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

Solving Systems of Equations

3-2 Solving Systems Algebraically. In addition to graphing, which we looked at earlier, we will explore two other methods of solving systems of equations.

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.

BY GRAPHING Y = 2X + 1 Y = -X + 4 (1,3) IS THE SOLUTION.

EXAMPLE 4 Solve linear systems with many or no solutions Solve the linear system. a.x – 2y = 4 3x – 6y = 8 b.4x – 10y = 8 – 14x + 35y = – 28 SOLUTION a.

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.

2.1 Solving Systems of Equations

Warmups – solve using substitution

10.1 SYSTEMS OF LINEAR EQUATIONS: SUBTRACTION, ELIMINATION.

ALGEBRA 1 CHAPTER 7 LESSON 5 SOLVE SPECIAL TYPES OF LINEAR SYSTEMS.

Solving Systems of Equations by Elimination2

Linear Systems November 28, 2016.

Warm-Up Graph Solve for y: Graph line #2.

Solving System of Linear Equations

Entry Task Solve the System x + 7 = y -4x + 2 = y.

Solving Systems of Linear and Quadratic Equations

Solve a system of linear equation in two variables

7.1 System of Equations Solve by graphing.

Jeopardy- Systems Systems of Inequalities Systems of Equations

Solving Systems of Linear and Quadratic Equations

2.1 Solving Systems of Equations

3.2a – Solving Systems algebraically

Writing the Equation of a Line

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.

FRONT No Solutions Infinite Solutions 1 solution (x, y)

SIMULTANEOUS EQUATIONS 1

Solving Systems of Linear and Quadratic Equations

Solving systems using substitution

Systems of Equations Solve by Graphing.

Graphing Systems of Equations

Solving for x and y when you have two equations

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

Squaring a binomial.

Name ________________________________________________

7.1 Solving Systems of Equations

Objective: Students will solve systems by graphing

Systems Warm-Up Solve each linear system. x + 7 = y -4x + 2 = y

Unit 7: Systems of Equations

Indicator 16 System of Equations.

Solving Systems of Equations by Graphing

Presentation transcript:

Systems Jeopardy PotpourriEliminationSubstitutionGraphing

100 - Graphing

100 What is (6,11)

200-Graphing

200 What is (-3,-4)

300-Graphing

300 What is (3,3)

400-Graphing

400 What is... No solution

100-Substitution

100 What is (2,4)

200-Substitution

200 What is (1,5)

300-Substitution

300 What is (3,0)

400-Substitution

400 What is (0,-1)

100-Elimination

100 What is (2,-4)

200-Elimination

200 What is (-3,7)

300-Elimination

300 What is (3,-18)

400-Elimination

400 What is Infinite Solutions

100-Potpourri Solve by graphing.

100 What is Infinite Solutions

200-Potpourri Write a system of equations with no solution.

200 Answers will vary

300-Potpourri Explain the solution to a system of equations whose lines are parallel.

300 What is... the lines will never touch, therefore it has no solution.

400-Potpourri Graphically illustrate a system of 2 equations with a solution of (-4,2).

400 Answers will vary