1-4 Absolute Value Equations Objectives: To solve inequalities using absolute value and to solve problems by making lists.

Slides:

Advertisements

Similar presentations

Solving Absolute Value Equations

Advertisements

Bell Work 9/8/14 Evaluate the expression..

Solving Absolute Value Equations

Solve an absolute value inequality

Drill #9 Solve each equation: 1.2(x + 1) = – 3 ( x – 2) (3 – x) = 2 – ( x + 1) Solve for the unknown variable: 3.for l 4. for x.

EXAMPLE 1 Solve absolute value inequalities

Other types of Equations Polynomial Equations. Factoring Solve.

Solving Absolute Value Equations and Inequalities.

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

Absolute Value : The absolute value of a number is the number of units it is from 0 on the number line. (Distance from 0) Ex) |2|, |-2| =

Ch 9: Quadratic Equations B) Square Roots Objective: To solve quadratic equations using square roots.

1-1(A and B) Integers and Absolute Value. Vocabulary 1.Integer – any positive or negative number 2. Positive Numbers – integers greater than zero 3. Negative.

Solving Compound Inequalities. Compound Inequality – two inequalities connected by and or or.

In this lesson… We will solve problems using inequalities. We will solve compound inequalities.

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

Solving Absolute Value Equations and Inequalities.

Warm Up Solve each equation for the given variable. 1)7x = 562) 3y + 7 = 19 3) 4 – 2x = 164) x – 9 = -22.

3.6 Solving Absolute Value Equations and Inequalities

Drill #10 Solve the following absolute value equalities. Remember to solve for both cases (positive and negative) and check your answers. 1. |2x – 3| =

Ch. 1-5 Absolute Value Equations and Inequalities.

Solving Open Sentences Involving Absolute Value

6.4 Solving Absolute Value Equations and Inequalities

Lesson 2-7: Absolute Value Objective:  Students will simplify absolute value expressions  Students will solve and graph inequalities involving absolute.

SOLVE ABSOLUTE VALUE INEQUALITIES January 21, 2014 Pages

Objectives Solve compound inequalities in one variable involving absolute-value expressions.

Day Problems For each solution write and graph an inequality.

HOMEWORK REVIEW. SOLVE ABSOLUTE VALUE INEQUALITIES 5.5.

QUIZ! Clear your desks except for last nights homework and a piece of scratch paper.

7 th Grade Math Pg I can read and write integers and find the absolute value of a number.

Drill #8 Solve each equation

3.4 Solving Multi-Step Equations Work backward is one of many problem-solving strategies that you can use. Here are some other problem-solving strategies:

1-4 Solving Absolute Value Equations Objectives Students will be able to: 1)Evaluate expressions involving absolute values 2)Solve absolute value equations.

Drill #7 Solve: 1.-2(x – 4) = x – (3x – 8) Solve the following equations for the given variable: 2. 3(2s + t) = 4 for t 3. for x 4.xy + 1 = 4x + 3 for.

Absolute Value (of x) Symbol |x| The distance x is from 0 on the number line. Always positive Ex: |-3|=

Solving Absolute Value Equations Lesson 4-3. Vocabulary Review Absolute Value: The distance between 0 and a number Equation: A math sentence/statement.

9.1 Solving Quadratic Equations by Finding Square Roots.

Lesson 3-6 Absolute Value Equations Objectives: To solve equations and inequalities that involve absolute value.

1.8 Solving Absolute Value Equations and Inequalities Objectives: Write, solve, and graph absolute value equations and inequalities in mathematical and.

Solving Systems by Substitution (isolated) Solving Systems by Substitution (not isolated)

CHAPTER 1 – EQUATIONS AND INEQUALITIES 1.4 – SOLVING ABSOLUTE VALUE EQUATIONS Unit 1 – First-Degree Equations and Inequalities.

HW Warm-Up Evaluate the expression. HW Lesson 9.1: Solving Quadratic Equations by Finding Square Roots Algebra I.

Equations and Expressions with Integers SWBAT evaluate algebraic expressions involving integers; solve equations using integers.

BELLWORK Evaluate each expression if x= -4 and y= -9.

Solving Absolute Value Equations & Inequalities

6-5 Solving Absolute Value Equations

Solving Absolute Value Equations

Solving Absolute Value Equations

Opener #3 (8/27/10) Solving Equations and Inequalities

Objective: To solve and graph compound inequalities involving “or”.

Chapter 2 Section 2 Absolute Value

Objectives Solve compound inequalities in one variable involving absolute-value expressions. When an inequality contains an absolute-value expression,

Ch 6.6 Solving Absolute-Value Equations

3.3 – Solving Systems of Inequalities by Graphing

To solve absolute value equations and inequalities in one variable

2.4 & 2.5 Absolute Value Inequalities and Equations

Equations and Inequalities involving Absolute Value

1-6 Absolute Value Equations and Inequalities

Section 5.5 Solving Absolute Value Equations and Inequalities

Ch 6.5 Absolute Value Equations

Solving Absolute Value Equations

1-5 Absolute Value Equations

SOLVING ABSOLUTE-VALUE EQUATIONS

1.7 Solving Absolute Value Equations & Inequalities

September 22, 2011 At the end of today, you will be able to: Solve compound inequalities using “and” Solve Absolute value inequalities Warm-up: How much.

Drill #4 Evaluate the following if a = -2 and b = ½. 1. ab – | a – b |

2.1 Integers and absolute value

3-6 Absolute Value Equations and Inequalities

Solving Equations with Absolute Values

L1-5 Algebra 2.

Solving Absolute Value Equations

Presentation transcript:

1-4 Absolute Value Equations Objectives: To solve inequalities using absolute value and to solve problems by making lists.

Hyper vs. Hypo Hypothermia and hyperthermia are similar words but have opposite meanings. Hypothermia is defined as a lowered body temperature. Hyperthermia is an extremely high body temperature. Both are potentially dangerous conditions, and can occur when a person’s body temperature is more 8 degrees above or below the normal body temperature of At what temperatures do these conditions begin to occur?

Evaluate an Expression with Absolute Value: Example 1 Evaluate each of the following: Ex 1:8.4 - |2n + 5| if n = -7.5 Ex 2: |4x +3 | - 3½ if x = -2 Ex 3: 1¼ - |2y + 1| if y = -¾

Classwork 1-4 Study Guide ODD Problems

Absolute Value Definition: For any real number a: if a > 0 then |a| = a if a < 0 then |a| = -a The absolute value of a number is its distance to 0 on a number line.

Example 2: Solve an Absolute Value Equation A standard adult tennis racket has a 100 square-inch head, plus or minus 20 square inches. Write and solve an absolute value equation to determine the least and greatest possible sizes for the head of an adult racket. 2A: 9 = | x + 12| 2B: 8 = | y + 5|

What is the absolute value of x – 15? Make a list of the possible cases: Case 1: If x > 15 then x – 15 > 0 so, x – 15 = x – 15 Case 2: If x is less than 15 then x – 15 < 0 so, x – 15 = -(x – 15) or 15 – x

Problem Solving Strategies** Problem Solving Strategies Draw a diagramSolve a similar problem Make a table or chartEliminate the possibilities Make a modelLook for a pattern Guess and checkAct it out Check for hidden assumptions Work backward Use a graphIdentify subgoals

List the possibilities Rosa forgot the personal identification number (PIN) for her ATM card. She remembered that her PIN is the rearranged digits of her house number, which is What PIN’s should she try in the ATM?

Evaluate Evaluate 3x – if x = -2

Example* Solve the equation: x – 25 = 17, then check the solution. Think about what cases the absolute value can be 17…

Examlpe* Solve 2x = 0 Hint: Isolate the absolute value…

Example* Solve x – 2 = 2x – 10 List the cases … Check your answer …

Empty Set** Definition: The set having no members, symbolized by { } or O When an equation has no solution, the answer is said to be null or the empty set.