Solving Absolute Value Equations October 2, 2014 SWBAT: Solve Absolute Value Equations.

Slides:



Advertisements
Similar presentations
Solving Equations = 4x – 5(6x – 10) -132 = 4x – 30x = -26x = -26x 7 = x.
Advertisements

Technical Question Technical Question
Solving Systems of three equations with three variables Using substitution or elimination.
Solving Absolute Value Equations and Inequalities.
6.8 –Systems of Inequalities. Just like systems of equations, but do the inequality part!
3x – 5y = 11 x = 3y + 1 Do Now. Homework Solutions 2)2x – 2y = – 6 y = – 2x 2x – 2(– 2x) = – 6 2x + 4x = – 6 6x = – 6 x = – 1y = – 2x y = – 2(– 1) y =
Elimination Day 2. When the two equations don’t have an opposite, what do you have to do? 1.
14.3 Matrix Equations and Matrix Solutions to 2x2 Systems OBJ: Use the Inverse of a 2 x 2 Matrix to solve a system of equations.
Compound Inequalities – Day 1 October 1, x  -12 (-12,  ) x ≤ 9 (- , 9] SWBAT: Solve and graph solutions sets of compound inequalities with one.
Thursday, November Make sure your name is on Practice 3-5 and it is completed! 2. Today’s objective: SWBAT solve absolute value equations and inequalities.
Bell Ringer October 14, 2010 y = 7 – 2x 4x + y = 5 Step 1: Put the equations in Standard Form. 2x + y = 7 4x + y = 5 Step 2: Determine which variable to.
UNIT 4, LESSON 5 Absolute Value Equations. Review of Absolute Value ions/absolutevalue/preview.weml
Solving Absolute Value Equations and Inequalities.
3.6 Solving Absolute Value Equations and Inequalities
Review #1. SOLVING LINEAR EQUATIONS, INEQUALITIES AND ABSOLUTE VALUES  Multi-Step Equations  Solve each equation. Check your solution.  1) 4x – 12.
Solving Absolute Value Inequalities October 8, 2015 SWBAT: Solve Absolute Value Inequalities.
Solving Open Sentences Involving Absolute Value
1.7 – Solve Absolute Value Equations and Inequalities Recall that the absolute value of a number x, written |x|, is the distance the number is from 0 on.
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 =
Solving Systems of Equations: The Elimination Method Solving Systems of Equations: The Elimination Method Solving Systems of Equations: The Elimination.
Section 5.3 Solving Systems of Equations Using the Elimination Method There are two methods to solve systems of equations: The Substitution Method The.
Solving Linear Equations Define and use: Linear Equation in one variable, Solution types, Equivalent Equations.
Solving Linear Systems by Substitution
Notes Over 7.6 Solving a Simple Radical Equation Solve the equation. Check your solution.
Solving Quadratic Inequalities October 9, 2015 SWBAT: Solve Quadratic Inequalities.
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.
Solving Absolute Value Equations Absolute value is denoted by the bars |3|. Absolute value represents the distance a number is from 0. Thus, it is always.
Equations and Expressions with Integers SWBAT evaluate algebraic expressions involving integers; solve equations using integers.
Absolute Value Equations
Solving Absolute Value Equations
SOLVING ABSOLUTE-VALUE EQUATIONS
Solving Absolute Value Equations
OBJECTIVE I will solve absolute-value equations using inverse operations.
Bell Ringer Solve each for x.
Solving Absolute Value Equations
Aim: How do we solve absolute value equations?
Notes Over 9.6 An Equation with One Solution
Section 5.5 Solving Absolute Value Equations and Inequalities
Solving One-Step Equations
Solving Absolute Value Equations
Warm-Up: As a group, create a CIRCLE MAP to DESCRIBE what you already know about ABSOLUTE VALUE.
Do Now 1) t + 3 = – 2 2) 18 – 4v = 42.
Solving Systems of Equations by Substitution
SOLVING ABSOLUTE-VALUE EQUATIONS
1.4 Solving Absolute-Value Equations
1.7: Solve Absolute Value Equations
SIMULTANEOUS EQUATIONS 1
If you can easily isolate one of the variables,
Solving a Radical Equation
Solving systems using substitution
Solving Equations with Variables on Both Sides
1.4 Solving Absolute-Value Equations
Solving Equations with Variables on Both Sides
Systems of Equations Solve by Graphing.
4 minutes Warm-Up Graph. 1) 2) 3).
MATH 1310 Section 2.8.
MATH 1310 Section 2.8.
MATH 1310 Section 2.8.
Solving Systems of Equations by Elimination Part 2
12.3 Solving Radical Equations
Example 2B: Solving Linear Systems by Elimination
Solving Absolute Value Equations
Solving Absolute Value and Radical Equations
L1-5 Algebra 2.
MATH 1310 Section 2.8.
Objective SWBAT solve polynomial equations in factored form.
11-5 Solving Rational Equations
The Substitution Method
Solving Absolute Value Equations
Presentation transcript:

Solving Absolute Value Equations October 2, 2014 SWBAT: Solve Absolute Value Equations

Eliminate C&D, b/c those are not for “or”! Elimante B b/c the circles are open !

SWBAT: Solve Absolute Value Equations 5 5 0

-6,6 -4,16 -5,3 No solution!

SWBAT: Solve Absolute Value Equations Isolate the Absolute Value Set up 2 equations Solve Check

SWBAT: Solve Absolute Value Equations 2x – 3 = 17or 2x – 3 = x = x = 10 2x = x = CHECK

SWBAT: Solve Absolute Value Equations 4x – 2 = 10or 4x – 2 = x = x = x = x = -2 CHECK

SWBAT: Solve Absolute Value Equations Isolate the abs. value first No solution!

2x + 5= x + 4 or 2x + 5 = -(x + 4) -x x + 5 = x = -1 2x + 5 = -x - 4 +x 3x + 5 = x = x = -3 CHECK

4 – x = 3xor 4 – x = -3x +x 4 = 4x = x +x 4 = -2x = x Reject CHECK x

Isolate the abs. value first y – 4 = 3y + 6 or y - 4 = -(3y + 6) -y -4 = 2y = 2y = y y – 4 = -3y y 4y - 4 = - 6 4y = CHECK Reject x

x + 6 = 2x + 18 or x + 6 = -(2x + 18) -6 6 = x = x x + 6 = -2x x +2x 3x + 6 = -18 -x 3x = x = -8 Isolate the abs. value first CHECK x Reject

SWBAT: Solve Absolute Value Equations

4n + 8 = 16or 4n + 8 = n = n = n = n = -6 CHECK