Standards: E.A.- 1.6, E.A.- 4.8 Objectives 1.solve equations involving absolute value 2.Find the Union and Intersection of two sets.

Slides:

Advertisements

Similar presentations

6.4 Solving Compound Inequalities I can… solve compound inequalities containing the word and and graph their solution sets. I can… solve compound inequalities.

Advertisements

Rectangular Coordinate System

Section 4.2 Intersections, Unions & Compound Inequalities  Using Set Diagrams and Notation  Intersections of Sets Conjunctions of Sentences and  Unions.

Solving Absolute Value Equations

(AND INEQUALITIES…) ABSOLUTE VALUE EQUATIONS. Case 1 Case 2 The quantity within the absolute value symbols is positive. |x| = 6 x = 6 The quantity within.

2.4 – Linear Inequalities in One Variable

1.7 – Linear Inequalities and Compound Inequalities

Monday, March 23 Today's Objectives

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.

Absolute Value Equalities and Inequalities Absolute value: The distance from zero on the number line. Example: The absolute value of 7, written as |7|,

How do I solve exponential equations and inequalities?

6-1B Solving Linear Systems by Graphing Warm-up (IN) Learning Objective: to solve a system of 2 linear equations graphically Given the equations: 1.Which.

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

Solving Absolute Value Equations and Inequalities.

WARM UP MULTIPLE CHOICE Which inequality is true? a)-9 > -5 b)9 < 5 c)9 < -5 d)-9 < 5 Which number is less than –0.1? a)-10 b)0 c)0.001 d)10 3.

3.6 Solving Absolute Value Equations and Inequalities

Chapter 2: Equations and Inequalities

Review #1. SOLVING LINEAR EQUATIONS, INEQUALITIES AND ABSOLUTE VALUES  Multi-Step Equations  Solve each equation. Check your solution.  1) 4x – 12.

Algebra 6-5 Solving Open Sentences Involving Absolute Value

Goal: Solve and write absolute value equations in one variable Section 4-4: Solving Absolute Value Equations.

5.5 Solving Absolute Value Inequalities

1.6 Absolute Value Equations and Inequalities. Solving an Absolute Value Equation What is the solution of | 2x – 1 | = 5? Graph the solution. | 2x – 1.

Solving Open Sentences Involving Absolute Value

Solving Absolute Value Inequalities Part 1 Honors Math – Grade 8.

HOMEWORK REVIEW. SOLVE ABSOLUTE VALUE INEQUALITIES 5.5.

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 =

Absolute Value Inequalities. Do Now Solve the absolute value equations(from last chapter) 1) | x-3| = 52) |2x|-4 =16 3) |-1+6x|= - 7.

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

Union and Intersection

Chapter 2: Equations and Inequalities Section 2.3/2.4: Conjunctions and Disjunctions and Solving Compound Sentences with Inequalities.

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.

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.

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.

2( ) 8x + 14y = 4 -12x – 14y = x = x = 4 8x + 14y = 4 8(4) + 14y = y = y = -28 ___ ___ y = -2 The solution is (4, -2)

Unions and Intersections of Sets

3.3 – Solving Systems of Inequalities by Graphing

Ch 6.5 Solving Compound Inequalities Involving “OR”

Linear Systems November 28, 2016.

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

To solve absolute value equations and inequalities in one variable

Aim: How do we solve absolute value equations?

Solve a system of linear equation in two variables

Absolute Value inequalities

Graphing systems of linear equations and inequalities

1.7 Solving Absolute Value Equations & Inequalities

Section 2.2: Solving Absolute Value Equations

SIMULTANEOUS EQUATIONS 1

Solving a Radical Equation

Objectives Identify solutions of linear equations in two variables.

Solving Absolute Value Equations

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

Jeopardy Final Jeopardy Solving Equations Solving Inequalities

Solve Systems of Equations by Graphing

Warm-Up #10 Solve and graph 5x -3 < 7 and 3x < 6

Solving Absolute Value Equations

Solving Absolute Value Equations

Solving Absolute Value Equations

1.2 Solving Linear Systems by Graphing

3-6 Absolute Value Equations and Inequalities

Solving Equations with Absolute Values

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

Where do these graphs intersect

Solving Absolute Value Equations

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

Intersection Method of Solution

Use Graphs of Functions

Solving Absolute Value Equations

Presentation transcript:

Standards: E.A.- 1.6, E.A Objectives 1.solve equations involving absolute value 2.Find the Union and Intersection of two sets

Key terms Absolute Value Symbol: | | Sets Union Intersection Venn diagram

Examples |x| = 8 Meaning : X = 8 or X = -8 |3a+5| = 6 Meaning : 3a + 5 = 6 or 3a + 5 = -6 Create your own

Example 1 Solve the problem for X and graph the solution and check the solution. |X| + 3 = 10

Example 2 Solve the problem for p and graph the solution and check the solution |p+2| = 7

Example 3 What are the solutions of |12x+6|= 42

Example 4 Solve the equation 3|y| + 8 = 17

Example 5 |5x|+7 = 3 Absolute value can never be negative

Definition of Union All the numbers in all the sets. Example {1, 2, 3, 4, 5, 7, 9}

Definition of Union All the numbers in all the sets. Example {1, 2, 3, 4, 5, 7, 9} Definition of Intersection The numbers that the sets have in common. Example {1, 3, 5}

Find the Union of Sets U and B. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 15, 20, 25, 30, 35, 40}

Class work Foundations : Pg thru 28 all problems Pg thru 4, 11 thru 19 Common core: Pg thru 28 Pg thru 4 and 11 thru 19