How do I work with absolute values?

Slides:

Advertisements

Similar presentations

Prerequisite Skills VOCABULARY CHECK 1.

Advertisements

Solve an absolute value inequality

Absolute Value is defined by: The graph of this piecewise function consists of 2 rays, is V-shaped and opens up. To the left of x=0 the line is y = -x.

 Graph  Vertex=(h,k)  Graph  A.  B.  C.  D.

EOC Practice #14 SPI EOC Practice #14 Write and/or solve linear equations, inequalities, and compound inequalities including those containing.

EXAMPLE 1 Solve absolute value inequalities

3.7 Absolute Value Equations and Inequalities I can solve equations and inequalities involving absolute value.

Solving Absolute Value Equations and Inequalities.

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

Absolute Value Inequality

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

Unit 1 Test Review Answers

Linear Equations, Inequalities, and Absolute Value

Class Greeting. Chapter 8 Systems of Linear Equations and Inequalities Lesson 8-1a Solving Systems Equations by Graphing 1.Determine if a system of equations.

GRAPH LINEAR INEQUALITIES IN TWO VARIABLES January 22, 2014 Pages

2.8 : Absolute Value Functions What is absolute value? What does the graph of an absolute value function look like? How do you translate an absolute value.

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.

Graphing Inequalities Solving One-Step Inequalities Solving Multi-Step Inequalities.

Chapter 1: Test Your Proficiency Directions: Select a section to work on. Work out each problem on a piece of paper. Click to check your answer. For detailed.

Linear Inequalities and Absolute Value Inequalities.

Chapter 2.7 – Absolute Value Inequalities. Objectives Solve absolute value inequalities of the form /x/ < a Solve absolute value inequalities of the form.

3.6 Solving Absolute Value Equations and Inequalities

Chapter 2: Equations and Inequalities

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

Solving Open Sentences Involving Absolute Value

Slide 2- 1 Copyright © 2012 Pearson Education, Inc. Copyright © 2006 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.

October 31, 2012 Solving Absolute Value Inequalities DO NOW: Solve │x + 13│ = 8 3. │3x – 9│= -24 HW 6.5b: Pg. 350 #29- 39, skip 36 and 38 Unit Test.

1.7 Linear Inequalities.  With an inequality, you are finding all values of x for which the inequality is true.  Such values are solutions and are said.

CHAPTER 1 – EQUATIONS AND INEQUALITIES 1.6 – SOLVING COMPOUND AND ABSOLUTE VALUE INEQUALITIES Unit 1 – First-Degree Equations and Inequalities.

3.7 Absolute value DAY 2. Solve for x----no notes on this slide (just watch). |x| = 5 |x + 2| = 5 x = 5 or x = -5 x + 2 = 5 or x + 2 = -5 x =

Do Now Solve and graph. – 2k – 2 < – 12 and 3k – 3 ≤ 21.

Zonk & Wam!!. Topics  Linear Equations (one variable)  Linear Inequalities (one variable)  Compound Inequalities  Absolute Value Equations (one variable)

How do graph piecewise functions? 2.5 Use Piecewise Functions Example 1 Evaluate a piecewise function Evaluate the function when x = 3. Solution Because.

6.5 Solving System of Linear Inequalities: VIDEOS equations/v/solving-linear-systems-by-graphing.

Prerequisite Skills VOCABULARY CHECK Copy and complete the statement. 2. The graph of a linear inequality in two variables is the set of all points in.

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.

Notes Over 1.6 Solving an Inequality with a Variable on One Side Solve the inequality. Then graph your solution. l l l

Algebra Solving Absolute Value Equations and Inequalities.

Jeopardy Q $100 Q $100 Q $100 Q $100 Q $100 Q $200 Q $200 Q $200

Objectives: Graph (and write) inequalities on a number line.

Lesson 4-1 Solving linear system of equations by graphing

Solving and Graphing Absolute Value Inequalities

Solve: 1) x + 5 = 9. x + 5 > 9 2) y – 6 = -3

Students will be able to:

Absolute Value Equations

3.3 – Solving Systems of Inequalities by Graphing

10.8 Systems of Second-Degree Equations and Inequalities

2.) Is x = –5 a solution to 3x < - 12?

5-5 Absolute Value Inequalities

Warm Ups Preview 3-1 Graphing and Writing Inequalities

Linear Inequalities and Absolute Value Inequalities

Solve a system of linear equation in two variables

Absolute Value inequalities

Solve Absolute Value Inequalities

Graphing systems of linear equations and inequalities

Objective Graph and solve systems of linear inequalities in two variables.

5-5 Absolute Value Inequalities

1.5 Linear Inequalities.

Absolute Value Inequalities

Compound Inequalities and their Graphs

Objectives Identify solutions of linear equations in two variables.

5.1 Solving Systems of Equations by Graphing

Absolute Value in Open Sentences

Jeopardy Final Jeopardy Solving Equations Solving Inequalities

Graph Linear Inequalities in Two Variables

Solving a System of Linear Equations

3(9z + 4) > 35z – 4 Original problem. Solve each inequality. Then graph the solution set on the number line. 3(9z + 4) > 35z – 4 Original problem.

Notes Over 6.1 Graphing a Linear Inequality Graph the inequality.

STATE STANDARDS S.P.I Apply properties to evaluate expressions, simplify expressions, and justify solutions to problems. S.P.I Write.

Presentation transcript:

How do I work with absolute values? Thursday, March 8 Essential Questions How do I work with absolute values?

Rewrite the absolute value equation as two linear equations. 1. 2.

Write in words what the absolute value equation means. 3. 4. 5.

Solve each absolute value equation. 6. 7.

Solve each absolute value equation. 8.

Solve each absolute value equation. 9.

Solve each absolute value equation. 10.

Solve each absolute value equation. 11.

Rewrite the absolute value inequality as a compound inequality. 12. 13.

Write in words what the absolute value inequality means. 14. 15. 16.

Solve each absolute value inequality and graph the solution on a number line. 17.

Solve each absolute value inequality and graph the solution on a number line. 18.

Solve each absolute value inequality and graph the solution on a number line. 19.

Solve each absolute value inequality and graph the solution on a number line. 20.

Solve each absolute value inequality and graph the solution on a number line. 21.

For the function (a) Tell whether it opens up/down, (b) Identify the vertex, and (c) whether the function is wider, narrower, or the same width as the graph of y = |x|. 22. a. _____________________ b. _____________________ c. _____________________ 23. a. _____________________ b. _____________________ c. _____________________

Graph each absolute value function. Then answer each of the following: a. Identify the vertex b. any reflections c. vert. stretch/shrink (s.f.) d. vert/horiz. shift e. inc/dec f. y-intercept g. zeros 24. a._______________________________ b._______________________________ c._______________________________ d._______________________________ e._______________________________ f._______________________________ g._______________________________

Graph each absolute value function. Then answer each of the following: a. Identify the vertex b. any reflections c. vert. stretch/shrink (s.f.) d. vert/horiz. shift e. inc/dec f. y-intercept g. zeros 25. a._______________________________ b._______________________________ c._______________________________ d._______________________________ e._______________________________ f._______________________________ g._______________________________

Graph each absolute value function. Then answer each of the following: a. Identify the vertex b. any reflections c. vert. stretch/shrink (s.f.) d. vert/horiz. shift e. inc/dec f. y-intercept g. zeros 26. a._______________________________ b._______________________________ c._______________________________ d._______________________________ e._______________________________ f._______________________________ g._______________________________

Evaluate the piecewise function when x = -3, x = 0, x = 2. 27.

Evaluate the piecewise function when x = -3, x = 0, x = 2. 28.

Evaluate the piecewise function when x = -3, x = 0, x = 2. 29.

Evaluate the piecewise function when x = -3, x = 0, x = 2. 30.

Graph the piecewise function Graph the piecewise function. Find the x-coordinate for which there are points of discontinuity. 31.

Graph the piecewise function Graph the piecewise function. Find the x-coordinate for which there are points of discontinuity. 32.

Graph the piecewise function Graph the piecewise function. Find the x-coordinate for which there are points of discontinuity. 33.

Graph the piecewise function Graph the piecewise function. Find the x-coordinate for which there are points of discontinuity. 34.

Write a piecewise function for the step function shown. 35.

Write a piecewise function for the step function shown. 36.

Write a piecewise function for the step function shown. 37.

Write the function as a piecewise function. 38.

Write the function as a piecewise function. 39.

Write the function as a piecewise function. 40.

Chapter 2 Review Worksheet Absolute Value Chapter 2 Review Worksheet