Today’s Objective: I can simplify rational expressions.

Slides:

Advertisements

Similar presentations

EOC Practice #7 SPI EOC Practice #7 Operate (add, subtract, multiply, divide, simplify, powers) with radicals and radical expressions including.

Advertisements

Notes Over 5.4 Imaginary Numbers.

LAWS OF LOGARITHMS SECTION 5.6. Why do we need the Laws? To condense and expand logarithms: To Simplify!

Solve the equation -3v = -21 Multiply or Divide? 1.

EXAMPLE 2 Rationalize denominators of fractions Simplify

9.2 Adding and Subtracting Rational Expressions Least Common Denominator of a polynomial of a polynomial.

10.4 Addition and Subtraction: Like Denominators Goal: to add and subtract rational expressions with like denominators.

Notes Over 11.6 Adding and Subtracting Rational Expressions Simplify the expression.

Warm-up Given these solutions below: write the equation of the polynomial: 1. {-1, 2, ½)

Rational Expressions.

R7 Rational Expressions. Rational Expressions An expression that can be written in the form P/Q, where P and Q are polynomials and Q is not equal to zero.

Adding, Subtracting, Multiplying, & Dividing Rational Expressions

Rational Functions. To sketch the graph of a rational function: Determine if the function points of discontinuity for the.

Warm ups. Find the sum or difference SOLVING RATIONAL EXPRESSIONS AND REVIEW Objective: To review adding, subtracting, and solving rational expressions.

12.6A Adding Rational Expressions with SAME denominators.

Notes Over 9.4 Simplifying a Rational Expression Simplify the expression if possible. Rational Expression A fraction whose numerator and denominator are.

 Multiply rational expressions.  Use the same properties to multiply and divide rational expressions as you would with numerical fractions.

9.5 Adding and Subtracting Rational Expressions 4/23/2014.

3.10 Warm Up Do # 4, 8, & 12 on pg. 268 Do # 4, 8, & 12 on pg. 268.

Module: 0 Part 4: Rational Expressions

Add & Subtract Rationals – Common Denominator To add or subtract rational expressions with common denominators: 1) Add or subtract the numerators 2) Write.

9.4 Multiplying and Dividing Rational Expressions -To multiply and divide rational expressions. -Use rational expressions to model real life quantities.

WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.

Multiplying Fractions. When we multiply a fraction by an integer we: multiply by the numerator and divide by the denominator For example, × = 54.

Bell Ringer 2/9/15 1. Simplify 3x 6x 2. Multiply 1 X Divide 2 ÷ Add Subtract 2 _

Warm-up 6-1 Lesson 6-1 Simplifying Rational Expressions.

Algebra II Honors POD homework: p eoo, odds Factor the following:

Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions.

Bell Ringer. Operations with Rational Expressions December 7, 2015.

Adding, Subtracting, Multiplying, and Dividing Rational Numbers.

Warm-Up The variables x and y vary inversely. Use the given values to write an equation relating x and y. Then find y when x=2: x = 4, y = 3 x = 8, y.

8-4 Rational Functions Today’s Objective: I can simplify rational expressions.

9.4 Rational Expressions (Day 1). A rational expression is in _______ form when its numerator and denominator are polynomials that have no common factors.

TODAY IN CALCULUS…  Warm Up: Synthetic Division  Learning Targets :  You will add and subtract rational expressions.  You will simplify rational expressions.

Section 5-4 The Irrational Numbers Objectives: Define irrational numbers Simplify radicals Add, subtract, multiply, and divide square roots Rationalize.

Rational Expressions – Equivalent Forms

Rational Expressions and Equations

Operations on Rational algebraic expression

Adding and Subtracting Rational Expressions

6.8 Multiplying and Dividing Rational Expressions

Do Now: Multiply the expression. Simplify the result.

Adding and Subtracting Rational Expressions

Warm-up: Simplify. (y5 + 32)(y + 2)-1 2.

Multiply the following rational expressions. Show work!

Rational expressions 8.11.

Multiplying and Dividing Rational Expressions

“Adding & Subtracting Polynomials”

Warm up Simplify without a calculator! 1) ) 1 4 − 7 8.

12.3 – Rational Expressions – Adding and Subtracting

Rational Expressions – Simplifying

Section 8-2: Multiplying and Dividing Rational Expressions

Simplify Complex Rational Expressions

Simplifying Rational Expressions

Warm-Up (Fractions) Calculator Free. [1] [2] [3] [4]

Simplifying Complex Rational Expressions

Warm up 3/1/16 happy March! Write a simplified expression for the area of a rectangle. Write the restrictions. Area = base x height Answer:

8.5: Adding and Subtracting Rational Expressions

5.2 Properties of Rational Exponents and Radicals

9.4: Rational Expressions

Simplifying Rational Expressions

Adding and Subtracting Rational Expressions

Warm-ups: Simplify the following

Warm Up. Warm Up Obj: Students will multiply, divide, and simplify rational expressions.

Adding and Subtracting Rational Expressions

Binomial Radical Expressions

ALGEBRA II HONORS/GIFTED - SECTION 8-4 (Rational Expressions)

Exercise Multiply. 5 • 7 = 35.

L7-2 Obj: The students will multiply and divide radical expressions

SIMPLIFYING RATIONAL EXPRESSIONS & DOMAIN

Presentation transcript:

Today’s Objective: I can simplify rational expressions. 8-4 Rational Functions Today’s Objective: I can simplify rational expressions.

Steps to Simplify Expressions Factor Common Factor Quadratic Factoring 2. Identify restrictions on variables. - Discontinuities 3. Simplify Cancel common factors

Simplify the following Factor Common Quadratic Simplify Restrictions

Multiplying OR x ≠ 0, 3 x ≠ 0, -5, 5

Multiplying x ≠ -5, 1, 3 x ≠ 0, -4, 7

Dividing x ≠ 0, 3, -3 x ≠ 0, 3, -3

Dividing p. 531: 9-29 odds p. 522: 43 x ≠ -5, 2 x ≠ 0, 8, -5

Warm Up 1-12-16 Multiply the following:

Homework Q and A

Today’s Objective: I can simplify rational expressions. 8-5 Rational Functions Today’s Objective: I can simplify rational expressions.

Adding & Subtracting After factoring each term: Find the Common Denominator x ≠ 3, -3 x ≠ 5, -5

Calculate the sum or difference x ≠ 2, 1 x ≠ ±5 p. 539:11-21 odd