Absolute Value Equations SEI.3.AC.1SLE 1: Solve, with and without appropriate technology, multi-step equations and inequalities with rational coefficients.

Slides:

Advertisements

Similar presentations

Splash Screen Inequalities Involving Absolute Values Lesson5-5.

Advertisements

Solving Multi-Step Equations

1 Topic The Substitution Method. 2 Topic The Substitution Method California Standard: 9.0 Students solve a system of two linear equations.

EXAMPLE 1 Solve absolute value inequalities

Writing Variable Expressions SEI.3.AC.1SLE 1: Solve, with and without appropriate technology, multi-step equations and inequalities with rational coefficients.

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

Solving One-Step Equations

2.8 - Solving Equations in One Variable. By the end of today you should be able to……. Solve Rational Equations Eliminate Extraneous solutions Solve Polynomial.

Solving Inequalities Students will be able to solve inequalities and graph them on a number line.

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

7.1 SOLVING SYSTEMS BY GRAPHING The students will be able to: Identify solutions of linear equations in two variables. Solve systems of linear equations.

Unit 1 Test Review Answers

Unit 3 Equal or Not.

Solving Rational Equations On to Section 2.8a. Solving Rational Equations Rational Equation – an equation involving rational expressions or fractions…can.

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.

Absolute Value Inequalities SEI.3.AC.1SLE 1: Solve, with and without appropriate technology, multi-step equations and inequalities with rational coefficients.

HOMEWORK: PG 45 #22-30, 35-40, 53 Sec 3: Absolute Value Inequalities Learning Target: I will solve and graph absolute value inequalities and use them in.

3.1 You should be able to solve one-step equations using algebra. Solve for x.

Solving Absolute Value Equations and Inequalities.

Solving Absolute Value Inequalities

3.6 Solving Absolute Value Equations and Inequalities

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

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

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

13.4 Solving Absolute Value Inequalities

ABSOLUTE VALUE INEQUALITIES.  Just like absolute value equations, inequalities will have two solutions: |3x - 2| ≤ 7 3x – 2 ≤ x ≤ 9 x ≤ 3 -5/3.

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 =

1.7 “Absolute Value” Absolute Value is always positive!! 7 = 7-7 = 7 **When solving equations or inequalities, you MUST set up 2 separate problems, one.

Greatest Integer/Absolute Value Functions

Solving Written Problems SEI.3.AC.1SLE 1: Solve, with and without appropriate technology, multi-step equations and inequalities with rational coefficients.

Solving Multi-Step Inequalities

Bell Ringer: Simplify each expression

4.4 Solving Multi-step Inequalities. 4.4 – Solving Multi-step Inequal. Goals / “I can…”  Solve multi-step inequalities with variables on one side  Solve.

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

Chapter 2 Review Honors Algebra Simplify.

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 Core Review. Unit 1: Real Numbers Natural Numbers: Whole Numbers: Integers:

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

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

Review: Algebra. Write numeric expressions:  Numeric expressions are expressions written out as phrases  Example:  Written as: The difference.

Solving Radical Equations and Inequalities Section 5.8.

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

Solving inequalities. An equation. Solve this and graph the answer on a number line: x - 2 = 5.

Warm-Up: Solve and Graph  1.  2.. CHAPTER 6 SECTION 4 Solving Absolute-Value Equations and Inequalities.

Math 71A 4.3 – Equations and Inequalities Involving Absolute Value 1.

Solving Absolute Value Inequalities

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

Algebra 1 Section 6.4 Solve absolute Value Equations and Inequalities

Polynomial & Rational Inequalities

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

Students will be able to:

3.3 – Solving Systems of Inequalities by Graphing

10.8 Systems of Second-Degree Equations and Inequalities

Mathsercise-C Ready? Inequalities Here we go!.

To solve absolute value equations and inequalities in one variable

Lesson 37: Absolute Value, pt 2 Equations

Unit 2 Expressions & Equations

Solving Linear Systems Algebraically

Solve a system of linear equation in two variables

Solve Systems of Linear Equations in Three Variables

Absolute Value inequalities

Solve Systems of Linear Inequalities

Algebra EquationsJeopardy

Grade Eight – Algebra I - Unit 4

Jeopardy Final Jeopardy Solving Equations Solving Inequalities

L1-4 Algebra 2.

Warm- Up: Solve by Substitution

Presentation transcript:

Absolute Value Equations SEI.3.AC.1SLE 1: Solve, with and without appropriate technology, multi-step equations and inequalities with rational coefficients numerically, algebraically and graphically Students will be able to solve absolute value equations and inequalities, and be able to graph them.

FHS Equations and Inequalities 2 Absolute Value All integers are composed of two parts – the size and the direction. For example, +5 is five units in the positive direction; –5 is five units in the negative direction. The absolute value {written like this: }of a number gives the size of the number without the direction. For example, = 5 and = 5. The answer is always positive. Conversely, if you have an equation, the answer could be 5 or –5. You will have 2 answers.

FHS Equations and Inequalities 3 Absolute Value Equations To solve absolute value equations, we follow the same procedures that we do in solving any equation. Solve for the absolute value first. Set up the two solutions, and solve them for the variable. Here are some examples: