8.5: Adding and Subtracting Rational Expressions

Slides:



Advertisements
Similar presentations
Complex Rational Expressions
Advertisements

Objective SWBAT simplify rational expressions, add, subtract, multiply, and divide rational expressions and solve rational equations.
Fractions. ADDING FRACTIONS  Build each fraction so that the denominators are the same  ADD the numerators  Place the sum of the two numerators on.
5.5 Add and Subtract Rational Expressions p. 336 What must be true before you can add or subtract complex fractions? What are two methods to simplify a.
Section 6.1 Rational Expressions.
Lesson 8-1: Multiplying and Dividing Rational Expressions
Solve the equation -3v = -21 Multiply or Divide? 1.
10.4 Addition and Subtraction: Like Denominators Goal: to add and subtract rational expressions with like denominators.
6.1 The Fundamental Property of Rational Expressions Rational Expression – has the form: where P and Q are polynomials with Q not equal to zero. Determining.
Rational Expressions Finding LCD Algebra Review: Adding Fractions You can only add like to like Same Denominators.
Warm-up Given these solutions below: write the equation of the polynomial: 1. {-1, 2, ½)
Adding, Subtracting, Multiplying, & Dividing Rational Expressions
Goal: Add and subtract rational expressions. Eligible Content: A ADDING AND SUBTRACTING RATIONAL EXPRESSIONS.
Rational Functions. To sketch the graph of a rational function: Determine if the function points of discontinuity for the.
12-6 Rational Expressions with Like Denominators Objective: Students will be able to add and subtract rational expressions with like denominators.
Warm ups. Find the sum or difference SOLVING RATIONAL EXPRESSIONS AND REVIEW Objective: To review adding, subtracting, and solving rational expressions.
Simplify a rational expression
 Multiply rational expressions.  Use the same properties to multiply and divide rational expressions as you would with numerical fractions.
EXAMPLE 2 Multiply rational expressions involving polynomials Find the product 3x 2 + 3x 4x 2 – 24x + 36 x 2 – 4x + 3 x 2 – x Multiply numerators and denominators.
UNIT: RATIONAL FUNCTIONS 9-4: RATIONAL EXPRESSIONS DAY 1 (SIMPLIFICATION) Essential Question: How do you simplify, multiply and divide rational expressions?
Copyright © 2015, 2011, 2007 Pearson Education, Inc. 1 1 Chapter 7 Rational Expressions and Equations.
Warm up # (-24) =4.) 2.5(-26) = 2-7(-8)(-3) = 5.) -5(9)(-2) = 3.
Section 5.5 Page 205.
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)
Dear Power point User, This power point will be best viewed as a slideshow. At the top of the page click on slideshow, then click from the beginning.
3.10 Warm Up Do # 4, 8, & 12 on pg. 268 Do # 4, 8, & 12 on pg. 268.
8.5 Warm-up Add and Subtract Rational Expressions Adding and Subtracting with Like Denominators
8.5 – Add and Subtract Rational Expressions. When you add or subtract fractions, you must have a common denominator. When you subtract, make sure to distribute.
How to multiply a whole number by a fraction.
EXAMPLE 3 Add expressions with different denominators Find the sum 5 12x 3 9 8x28x x28x2 += 9 3x 8x 2 3x x 3 2 Rewrite fractions using LCD,
Warm Up Add or subtract x ≠ x ≠ –1, x ≠ 1 Simplify. Identify any x-values for which the expression is undefined –
Math 20-1 Chapter 6 Rational Expressions and Equations 6.3 Add and Subtract Rational Expressions Teacher Notes.
Adding and Subtracting Rational Expressions. WARM UP 1) Suppose y varies inversely with x, Write an equation that includes the point (4,2) 2) The length.
1/20/ :24 AM10.3 Multiplying and Dividing Expressions1 Simplify, Multiply and Divide Rational Expressions Section 8-2.
(x+2)(x-2).  Objective: Be able to solve equations involving rational expressions.  Strategy: Multiply by the common denominator.  NOTE: BE SURE TO.
Adding and Subtracting Rational Expressions
10.4 Addition and Subtraction: Like Denominators.
Warm-up Divide. 1. (x 6 – x 5 + x 4 ) ÷ x 2 2. (9c 4 + 6c 3 – c 2 ) ÷ 3c 2 3. (x 2 – 5x + 6) ÷ (x – 2) 4. (2x 2 + 3x – 11) ÷ (x – 3)
Dear Power point User, This power point will be best viewed as a slideshow. At the top of the page click on slideshow, then click from the beginning.
+ Fractions. + Part of a whole + + Numerator How many pieces The number on the top of a fraction.
Rational Functions By: Elena Fayda, Ana Maroto, Madelynn Walker.
Chapter 6 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 6-1 Rational Expressions and Equations.
Objectives Add and subtract rational expressions.
11.5 Adding and Subtracting Rational Expressions
Rational Expressions and Equations
Adding and Subtracting Rational Expressions
Chapter 8 Rational Expressions.
4-2 Adding and Subtracting Fractions
Rational Functions (Algebraic Fractions)
Rational Expressions and Equations
8.5 Add and Subtract Rational Expressions
Multiplying and Dividing Expressions
Rational Expressions and Equations
Without a calculator, simplify the expressions:
Adding and Subtracting Rational Expressions
Simplifying Complex Rational Expressions
8.5: Adding and Subtracting Rational Expressions
1. What is the difference between simplifying an expression and solving an expression? 2. -(3x+5)-4x x-7=13 4. x/2 +4 =16 5. Write the following.
Adding/Subtracting Like Denominator Rational Expressions
Rational Expressions and Equations
Multiplying and Dividing Rational Numbers
10.4 Addition and Subtraction: Like Denominators
Rational Expressions and Equations
8.6: Solving Rational Equations
29. Add and Subtract Rational Expressions
Section 7.3 Simplifying Complex Rational Expressions.
Unit 3: Rational Expressions Dr. Shildneck September 2014
Multiplying and Dividing Rational Numbers
9.5 Addition, Subtraction, and Complex Fractions
Dear Power point User, This power point will be best viewed as a slideshow. At the top of the page click on slideshow, then click from the beginning.
Presentation transcript:

8.5: Adding and Subtracting Rational Expressions Page 586 3) 5) 7) 5 9) 3x(x – 2) 11) 2x(x – 5) 13) x(x – 5)(x + 5) 15) D 17) 19) 21) 23) 25) Must have common denominators. 27) 29) 41) 5/15/2019 11:59 PM 8.5: Adding and Subtracting Rational Expressions

Complex Rational Fractions Section 8.5a 5/15/2019 11:59 PM 8.5a - Complex Fractions

Steps for Solving Complex Fractions Operate the top equation (numerator) first. Operate the bottom equation (denominator). Rewrite the problem horizontally instead of vertically Divide the equation. KEEP IT, CHANGE IT, FLIP IT. Simplify and/or solve Check 5/15/2019 11:59 PM 8.5a - Complex Fractions

Example 1 Simplify 5/15/2019 11:59 PM 8.5a - Complex Fractions

Example 2 Simplify Step 1: Operate the top equation (numerator) first. Step 2: Operate the bottom equation (denominator) second. Step 3: Divide the equation. KEEP IT, CHANGE IT, FLIP IT. Step 4: Simplify and/or solve, check 5/15/2019 11:59 PM 8.5a - Complex Fractions

Example 3 Simplify 5/15/2019 11:59 PM 8.5a - Complex Fractions

Your Turn Simplify 5/15/2019 11:59 PM 8.5a - Complex Fractions

Example 4 Simplify Top: 5/15/2019 11:59 PM 8.5a - Complex Fractions

Example 4 Simplify Bottom: 5/15/2019 11:59 PM 8.5a - Complex Fractions

Example 4 Simplify Divide: 5/15/2019 11:59 PM 8.5a - Complex Fractions

Example 5 Simplify 5/15/2019 11:59 PM 8.5a - Complex Fractions 11

Your Turn Simplify 5/15/2019 11:59 PM 8.5a - Complex Fractions 12

Assignment Worksheet 5/15/2019 11:59 PM 8.5a - Complex Fractions 13