Unit One obj. solve abs.val.

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Presentation transcript:

Unit One obj. solve abs.val. Section 1-6 Absolute Value Unit One obj. solve abs.val.

This is asking how far away from 0 is 5 & -5 on the number line In this lesson you will write and solve equations and inequalities involving absolute value. Absolute Value is the distance a number is from zero on a number line. This is asking how far away from 0 is 5 & -5 on the number line 5 4 3 2 1 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 Absolute value equation can have two answers, because opposites have the same absolute value.

Solving absolute value The value inside the absolute value can equal 15 or -15 What does x equal??

Solving an Absolute Value Equation Ex) STEPS to solving Abs. Val. Equation Get the absolute value alone Rewrite as two equations Solve check Solving absolute value equation 6:00 video 1 ex) 1 try)

Solving an Absolute Value Equation Check each solution… An extraneous solution is a solution that does not work out when checked in the original problem. Since -3 does not work it is an extraneous solution. The only solution is -1

Practice solving Absolute value equations: Worksheet Practice C – #1,2,5,6 Pg 46 #11-23 odd Reduce practice problems to allow for enough time

STEPS to solving Abs. Val. inequality Solving an Absolute Value Inequality STEPS to solving Abs. Val. inequality \ Get the absolute value alone Rewrite as two inequalities(flip inequality sign) Solve graph Solving absolute value inequality “OR” 6:30 video 1ex) 1try) AND b/c inequality sign was < -2 3

GreatOR LessthAND Most of the time the original inequality sign will tell you what the graph should look like

Practice Worksheet Practice D- #1,2,5,6

Practice Standard Pg. 46 #25-35odd 43-81 Honors Pg. 46 #25-35odd 43-89 Standardized test prep: 90-93 Reduce number of practice problems

ANSWERS in back of book

Lesson quiz 1-6 1. Solve and graph /3x + 1 /= 8. 2. What is the solution of 3/ x - 7 / - 2 = 4? 3. What is the solution of / 2x + 1 / = 3x + 4? 4. Solve and graph / 4x + 1 / < 5. 5. Solve and graph / 3x - 2 / ≥ 7. 6. Do you UNDERSTAND? You order 1.5 pounds of turkey at a deli. You will accept the turkey if its weight is between 1.54 and 1.46. What absolute value inequality describes the tolerance of the weight of the turkey? Quiz answers Lesson Quiz Use Quiz as needed(optional)