9.6 Solving Rational Equations

Slides:

Advertisements

Similar presentations

Solving equations Section 1.4.

Advertisements

10.6 Solving Rational Equations

( ) EXAMPLE 3 Standardized Test Practice SOLUTION 5 x = – 9 – 9

Solving Rational Equations

4.2 Solving Rational Equations 1/30/2013. Vocabulary Rational Equation: Equation that shows two rational expressions or fractions are equal. Example:

Warm Up January 27, 2014 Simplify 1. Pick up handout on back table.

Chapter 12 Final Exam Review. Section 12.4 “Simplify Rational Expressions” A RATIONAL EXPRESSION is an expression that can be written as a ratio (fraction)

Solving Rational Equations Section 7.5 beginning on page 392.

5.6 Solve Rational Equations

10-7 Solving Rational Equations Warm Up Warm Up Lesson Presentation Lesson Presentation California Standards California StandardsPreview.

How can we solve fractional equations? Do now: Solve for x What steps did you use to solve?

Rational Equations Section 8-6.

Math – Rational Equations 1. A rational equation is an equation that has one or more rational expressions in it. To solve, we start by multiplying.

4.8 – Solving Equations with Fractions

(x+2)(x-2).  Objective: Be able to solve equations involving rational expressions.  Strategy: Multiply by the common denominator.  NOTE: BE SURE TO.

Rational Numbers & Equations Lesson 3-5. Rational Numbers & Equations When given an equation with a fraction… a)Solve by multiplying by the reciprocal.

How do you check for extraneous solutions? -=. In this lesson you will learn to identify extraneous solutions in rational equations by checking solutions.

Solving Equations Containing First, we will look at solving these problems algebraically. Here is an example that we will do together using two different.

Essential Question: What must you do to find the solutions of a rational equation?

EQUATIONS & INEQUALITIES

Copyright © 2011 Pearson, Inc. 2.7 Solving Equations in One Variable.

9.6 Solving Rational Equations p.569. Hint for solving: A quick way to solve a rational equation is to multiply everything through by the LCD. This will.

10.6 Solving Rational Equations Rational Equation An equation containing one or more rational expressions.

Section 8.5 Solving Equations Containing Rational Expressions.

SAT Prep: Solving Rational Equations Goals: To solve problems involving rational expressions (equations that have variables in the denominator)

Advanced Algebra H Notes Section 8.6-Solving Rational Equations Objective: To be able to solve a rational equation. Rational Equations You can use ____________________to.

9.6 Solving Rational Equations 5/13/2013. Vocabulary Rational Equation: Equation that shows two rational expressions or fractions are equal. Example:

x + 5 = 105x = 10  x = (  x ) 2 = ( 5 ) 2 x = 5 x = 2 x = 25 (5) + 5 = 105(2) = 10  25 = 5 10 = = 10 5 = 5.

Holt Algebra Solving Rational Equations Warm Up 1. Find the LCM of x, 2x 2, and Find the LCM of p 2 – 4p and p 2 – 16. Multiply. Simplify.

8.5 Solving Rational Equations. 1. Factor all denominators 2. Find the LCD 3.Multiply every term on both sides of the equation by the LCD to cancel out.

Aim: How do we solve fractional equations?

Solving Linear Equations

1. Add: 5 x2 – 1 + 2x x2 + 5x – 6 ANSWERS 2x2 +7x + 30

9-6 Solving Rational Equations

8.6 Solving Rational Equations

Solving Rational Equations

EQUATIONS & INEQUALITIES

( ) EXAMPLE 3 Standardized Test Practice SOLUTION 5 x = – 9 – 9

Solving Rational Equations

9.6 Solving Rational Equations

9.6 Solving Rational Equations

9.6 Solving Rational Equations

WARM UP Find the length of the tunnel using Law of Cosines.

8.6 Solve Rational Equations

9.6 Solving Rational Equations

Notes Over 9.6 An Equation with One Solution

Fractional Equations Chapter 7 Section 7.4.

Solving Equations Containing

Warmups Simplify 1+ 2

Solving Equations Containing Rational Expressions

Algebra 1 Section 13.6.

4.2: Solving Rational Equations

11-5 Solving Rational Equations

8.5 Solving Rational Equations

Bell Ringer 12/6/18 1. What is the restriction on rational expressions which results in extraneous solutions? 2. When solving equations with fractions,

Solving Rational Equations

Warm-Up Simplify..

8.5 Solving Rational Equations

Rational Equations.

Solving a Radical Equation

Solving Equations Containing Rational Expressions § 6.5 Solving Equations Containing Rational Expressions.

Solving Rational Equations

31. Solving Rational Equations

9.6 Solving Rational Equations

Section 6 – Rational Equations

Warm-up: Solve for x. Hint, factor first!.

8.5 Solving Rational Equations

11-5 Solving Rational Equations

Presentation transcript:

9.6 Solving Rational Equations p.569

Hint for solving: A quick way to solve a rational equation is to multiply everything through by the LCD. This will get rid of all the fractions! Beware of extraneous solutions!

Multiply each fraction through by the LCD Example: Solve. LCD: 2x Multiply each fraction through by the LCD Check your solution!

Solve. LCD: ? LCD: (x+1) ? Check your solution! No Solution!

Solve. Factor 1st! LCD: (x+2)(x-2) Check your solutions!

Short Cut! When there is only fraction on each side of the =, just cross multiply as if you are solving a proportion.

Example: Solve. Check your solutions!

Last Example: Solve. Check your solutions!

Assignment