Simplify: 7

Slides:



Advertisements
Similar presentations
10-10 Complex Rational Expressions Standard 13.0 Standard 13.0 One Key Term One Key Term.
Advertisements

Fractions. ADDING FRACTIONS  Build each fraction so that the denominators are the same  ADD the numerators  Place the sum of the two numerators on.
10-5 Addition and Subtraction: Unlike Denominators  Standard 13.0: Add and subtract rational expressions.
6-3: Complex Rational Expressions complex rational expression (fraction) – contains a fraction in its numerator, denominator, or both.
Table of Contents Equivalent Rational Expressions Example 1: When we multiply both the numerator and the denominator of a rational number by the same non-zero.
Equivalent Rational Expressions Example 1: When we multiply both the numerator and the denominator of a rational number by the same non-zero value, we.
Warm Up. B UILDING, U NDERSTANDING AND S IMPLIFYING R ATIONAL E XPRESSIONS.
Splash Screen. Lesson Menu Five-Minute Check (over Chapter 7) CCSS Then/Now New Vocabulary Example 1:Simplify a Rational Expression Example 2:Standardized.
Adding and Subtracting Rational Expressions
Section R5: Rational Expressions
9.2 Adding and Subtracting Rational Expressions Least Common Denominator of a polynomial of a polynomial.
Section P6 Rational Expressions
Chapter 6 Section 4 Addition and Subtraction of Rational Expressions.
Adding & Subtracting Rational Expressions. Vocabulary Rational Expression Rational Expression - An expression that can be written as a ratio of 2 polynomials.
Adding, Subtracting, Multiplying, & Dividing Rational Expressions
Goal: Add and subtract rational expressions. Eligible Content: A ADDING AND SUBTRACTING RATIONAL EXPRESSIONS.
12-6 Rational Expressions with Like Denominators Objective: Students will be able to add and subtract rational expressions with like denominators.
Adding and Subtracting rational expressions Sec: 9.2 Sol: AII.2.
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.
Copyright © 2015, 2011, 2007 Pearson Education, Inc. 1 1 Chapter 7 Rational Expressions and Equations.
Sullivan Algebra and Trigonometry: Section R.7 Rational Expressions
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.
Add & Subtract Rationals – Common Denominator To add or subtract rational expressions with common denominators: 1) Add or subtract the numerators 2) Write.
Entrance Slip: Factoring 1)2) 3)4) 5)6) Section P6 Rational Expressions.
9.4 Multiplying and Dividing Rational Expressions -To multiply and divide rational expressions. -Use rational expressions to model real life quantities.
Simplify, Multiply & Divide Rational Expressions.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 14 Rational Expressions.
§ 7.7 Simplifying Complex Fractions. Martin-Gay, Beginning and Intermediate Algebra, 4ed 22 Complex Rational Expressions Complex rational expressions.
Algebra II Honors POD homework: p eoo, odds Factor the following:
To simplify a rational expression, divide the numerator and the denominator by a common factor. You are done when you can no longer divide them by a common.
Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions.
Fractional Expressions Section 1.4. Objectives Simplify fractional expressions. Multiply and divide fractional expressions. Add and subtract fractional.
Section 6.2 Multiplication and Division. Multiplying Rational Expressions 1) Multiply their numerators and denominators (Do not FOIL or multiply out the.
Warm-Up Exercises Section 5.5 Adding and Subtracting Rational Expressions.
Section 5-4 The Irrational Numbers Objectives: Define irrational numbers Simplify radicals Add, subtract, multiply, and divide square roots Rationalize.
Objectives Add and subtract rational expressions.
11.5 Adding and Subtracting Rational Expressions
Rational Expressions and Equations
Adding and Subtracting Rational Expressions
Multiplying and Dividing Rational Expressions
Do Now: Multiply the expression. Simplify the result.
Splash Screen.
Grade Seven – Pre-Algebra - Unit 5
8.1 Multiplying and Dividing Rational Expressions
7.1/7.2 – Rational Expressions: Simplifying, Multiplying, and Dividing
Multiplying and Dividing Rational Expressions
Splash Screen.
1 Introduction to Algebra: Integers.
8.5 Add and Subtract Rational Expressions
Multiply and Divide Rational Expressions
Without a calculator, simplify the expressions:
Simplify the expression:
Multiplying and Dividing Rational Expressions
Simplify Complex Rational Expressions
Simplify: 5 32
Simplify Radical Expressions
Simplifying Complex Rational Expressions
Complex Fractions and Review of Order of Operations
Lesson 4.5 Rules of Exponents
Rational Expressions and Equations
High School – Pre-Algebra - Unit 5
Simplifying Rational Expressions
Which fraction is the same as ?
Rational Expressions and Equations
Multiplying and Dividing Rational Expressions
Warm-ups: Simplify the following
SLOT Week 11 – Day 1.
Section 7.3 Simplifying Complex Rational Expressions.
Unit 3: Rational Expressions Dr. Shildneck September 2014
Presentation transcript:

Simplify: 7 𝑥 2 +7𝑥−42 2𝑥 2 +18𝑥+36 𝑦 2 −12𝑦 24−2𝑦 14 𝑓 5 9𝑎 2 ÷ 35 𝑓 3 18𝑎 Problem of the Day

Section 8-1b Multiplying and Dividing Rational Expressions

Then Now Objectives You simplified rational expressions. Multiply and divide rational expressions. Simplify complex fractions.

Common Core State Standards Content Standards A.APR.7 – Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions. Mathematical Practices 8) Look for and express regularity in repeated reasoning. Common Core State Standards

Simplify the expression. 4𝑥−20 𝑥 2 +2𝑥−35 ∙ 𝑥 2 −7𝑥+10 4𝑥 2 −16 Example 5

Simplify the expression. 𝑥 2 −9𝑥+20 𝑥 2 +10𝑥+21 ÷ 𝑥 2 −𝑥−12 6𝑥+42 Example 5

Simplify each expression Example 5

Complex Fraction: a rational expression with a numerator and/or denominator that is also a rational expression. Vocabulary

Simplify the expression. (𝑥−2) 2 2( 𝑥 2 −5𝑥+4) 𝑥 2 −4 2𝑥−10 Example 6

Simplify the expression. 4𝑥 𝑥+6 𝑥 2 −3𝑥 𝑥 2 +3𝑥−18 Example 6

p.534 #31 – 36, 60, 81 – 83 Homework