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

Slides:

Advertisements

Similar presentations

Warm Up Example 1 Check whether the ordered pair is a solution of 2x – 3y > -2 a.(0,0) 2(0)-3(0)> -2 0> -2 True b.(0,1) 2(0)-3(1)> -2 -3> -2 False.

Advertisements

Systems of Linear Inequalities.  Two or more linear inequalities together form a system of linear inequalities.

6.8 –Systems of Inequalities. Just like systems of equations, but do the inequality part!

EOC Practice #18 SPI EOC Practice #18 Solve systems of linear equations/inequalities in two variables.

3.4 Solving Systems of Linear Inequalities Objectives: Write and graph a system of linear inequalities in two variables. Write a system of inequalities.

AIM: How do we solve a system of equations by graphing? Topic: Solving systems 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.

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

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

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

Unit 1 Test Review Answers

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 

4.4 Equations as Relations

5-3 Equations as Relations

3.4 Solving Systems of Linear Inequalities

5.4 – Solving Compound Inequalities. Ex. Solve and graph the solution.

Set Operations and Compound Inequalities. 1. Use A = {2, 3, 4, 5, 6}, B = {1, 3, 5, 7, 9}, and C = {2, 4, 6, 8} to find each set.

3.6 Solving Absolute Value Equations and Inequalities

9.2 Representing Linear Functions. Graphing Equations Make a Table.

5.2 – Solving Inequalities by Multiplication & Division.

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

Solving Open Sentences Involving Absolute Value

3.3 Systems of Inequalities An inequality and a system of inequalities can each have many solutions. A solution of a system of inequalities is a solution.

Warm Ups {(2,0) (-1,3) (2,4)} 1. Write as table 2. Write as graph 3. Write as map 4. State domain & range 5. State the inverse.

§2.5 Model Direct Variation CA Standard 2.0 Students solve systems of linear equations and inequalities (in two or three variables) by substitution, with.

M3 1.5 Systems of Linear Inequalities M3 1.5 Systems of Linear Inequalities Essential Questions: How can we write and graph a system of linear inequalities.

SILENTLY Algebra 1 19 April 2011 SILENTLY Homework due next class: pg. 318: 8, 14 Warm up: Solve each inequality for y: 1) 84x + 7y > 70 2) 4.8x – 0.12y.

Complete the DO NOW in your packets

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

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

Solving Systems of Equations Graphing Linear Inequalities.

4.3 Solving Systems of Linear Inequalities 11/7/12.

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 Linear Inequalities

Warm-Up 1. Put in slope-intercept form: 3x – 4y = -12

Algebra 1 Section 6.5 Graph linear inequalities in two variables.

Warm Up: Graph y = - 2x + 7 and find the x-intercept and y-intercept.

Solving and Graphing Inequalities

3.3 – Solving Systems of Inequalities by Graphing

6-6 Systems of Linear Inequalities

6.6 Systems of Linear Inequalities

Solving Linear Equations

Notes Over 4.2 Is a Solution Verifying Solutions of an Equation

Section 5.5 Solving Absolute Value Equations and Inequalities

Solutions to Systems of Equations

Warm Up Graph y = 4x and 16, $10’s and 7 $20’s.

Warm-Up 1. Put in slope-intercept form: 3x – 4y = -12

Systems of Linear Equations

Quiz 2.1 Review Whiteboards

Objectives Identify solutions of linear equations in two variables.

5.1 Solving Systems of Equations by Graphing

Warm Up Graph y = 4x and 16, $10’s and 7 $20’s.

Systems of Equations Solve by Graphing.

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

Solutions of Linear Functions

2.2: Graphing a linear equation

Solving Linear Inequalities

4 minutes Warm-Up Solve and graph. 1) 2).

Warm-Up 1. Put in slope-intercept form: 3x – 4y = -12

Objective: Students will solve systems by graphing

Graph Linear Inequalities in Two Variables

Warm-Up #8 Solve for y: 2y – x = 4 5 – y = 6x y – 2x = 6.

Warm-up 1. 5x – 4 = 2x (x + 2) + 3x = 2 Solve for the variable 1. 5x – 4 = 2x (x + 2) + 3x = 2.

Warm-up 1. 5x – 4 = 2x (x + 2) + 3x = 2 Solve for the variable 1. 5x – 4 = 2x (x + 2) + 3x = 2.

Chapter 2 Section 7 Two-Variable Inequalities

Exponential Verses Linear

Notes Over 6.1 Graphing a Linear Inequality Graph the inequality.

Solving Linear Systems by Graphing

Presentation transcript:

L3-3 Objective: Students will graph systems of linear inequalities Warm Up Is (3,2) a solution to the systems? 1. 3x – 2y = 5 x + 4y = 10 2. x + y > 4 2x < y – 3 3. 8x + y > 5x -5y + 10 ≤ 3

Find whole number solutions of each system using tables. Given x + y ≤ 6 3x + 4y = 20 Build a table Pick values for x Values of y x 1 2 3 4 5 6

Next find the ordered pairs that make the second equation true For each value of x solve for y in the first equation. ( 0 + y ≤ 6; y ≤ 6 ) Write in the values that work. Repeat the process for each value of x. Next find the ordered pairs that make the second equation true (0,5) & (4,2) Y values x 1 2 3 4 5 6 6, 5, 4, 3, 2, 1, 0… 5, 4, 3, 2, 1, 0… 4, 3, 2, 1, 0… 3, 2, 1, 0… 2, 1, 0… 1, 0… 0…

Ex 1: Graph the solution x + y < 4 2x – 5y ≥ 10

Practice These are to be done on your whiteboard Graph the solutions

8.

9.

10. Homework L3.3 (p. 138) #4-40e