We think you have liked this presentation. If you wish to download it, please recommend it to your friends in any social system. Share buttons are a little bit lower. Thank you!
Presentation is loading. Please wait.
Published byGrace Dempsey
Modified over 2 years ago
Find the product. 1.(2x + 3)(3x – 7) 2.(x – 11)(x + 11) = 6x 2 – 5x – 21 = x 2 – 121 = 5(2x + 5) Factor x x x 5. x 3 + 2x 2 + 4x + 8 = 7x(4x + 5) = (x 2 + 4) (x + 2) 6.x x x 2 – 4x – 32 = (x + 6) (x + 5) = (x + 4) (x – 8)
More warm-up Solve the following equation (USE Factoring)
More Warm-up Simplify the fraction Standard: MM1A3e
Simplifying rational expressions A fraction whose numerator and denominator are nonzero polynomials Standard: MM1A3e
When a rational expressions numerator and denominator have no factors in common (other than 1). Process: Factor, then cancel. Standard: MM1A3e
1. Simplify a Rational Expression Reduce the numbers and subtract the exponents. Where the larger one is, is where the leftovers go. Standard: MM1A3e
2. Simplify a Rational Expression Factor the top Cross out the common factor x. Standard: MM1A3e
3. Simplify a Rational Expression Factor the bottom Cross out the common factor x. Standard: MM1A3e
4. Simplify a Rational Expression Factor the top Cross out the common factors of 5 and x. Standard: MM1A3e
5. Simplify a Rational Expression Factor the top and bottom Cross out the common factor (x + 4) Standard: MM1A3e
Recognize Opposite Factors When you have opposite factors, you will have to factor out a negative so that you can cancel. Standard: MM1A3e
6. Opposite Factors Factor the bottom (1 – x) on the top and (x – 1) on the bottom are opposites. Factor out a negative so they will cancel. Standard: MM1A3e
Practice #7 Standard: MM1A3e
Practice #8 Standard: MM1A3e
Practice #9 Standard: MM1A3e
Practice #10 Standard: MM1A3e
Practice #11 Standard: MM1A3e
Practice #12 Standard: MM1A3e
Objective SWBAT simplify rational expressions, add, subtract, multiply, and divide rational expressions and solve rational equations SWBAT simplify rational.
Rational Algebraic Expressions Objective: To simplify rational algebraic expressions.
Dividing Monomials. For all integers m and n and any nonzero number a …… When the problems look like this, and the bases are the same, you will subtract.
Reducing Fractions. Factor A number that is multiplied by another number to find a product. Factors of 24 are (1,2, 3, 4, 6, 8, 12, 24).
10-4 Multiplying and Dividing Rational Expressions Warm Up Multiply. 1. 2x 2 (x + 3)2. (x – 5)(3x + 7) 3. 3x(x 2 + 2x + 2)4. Simplify. Divide. Simplify.
Simplify Warm-up. Compare and Contrast Notes - Adding and Subtracting with LIKE Denominators When you are adding or subtracting rational expressions….
Do Now 5/29/09 Copy HW in your planner. Copy HW in your planner. Text p. 797, #4-38 evens Text p. 797, #4-38 evens Take out HW from last night. Take out.
Equivalent Fractions Lesson 4-2. Vocabulary Equivalent fractions are fractions that name the same amount. 2 4 = 4 8.
Copyright © 2007 Pearson Education, Inc. Slide R-2 Chapter R: Reference: Basic Algebraic Concepts R.1Review of Exponents and Polynomials R.2Review of.
Equivalent Fractions Scott Foresman 7.7. Vocabulary Equivalent fractions are fractions that name the same amount. 2 4 = 4 8.
Fractions VI Simplifying Fractions By Monica Yuskaitis.
Quadratic Equations and Complex Numbers Objective: Classify and find all roots of a quadratic equation. Perform operations on complex numbers.
Find the product. 1.(x + 4)(x + 7) 2.(x + 14)(x + 2) = x x + 28 = 5(2x + 5) Factor x x x 5. x 3 + 2x 2 + 4x + 8 = 7x(4x + 5)
Simplifying Expressions 08/09/12lntaylor ©. Table of Contents Learning Objectives Simplifying Fractions Simplifying Polynomials Simplifying Rational Expressions.
Operations on Rational Expressions Review Test Tomorrow!!!
Do Now 12/3/13 Take out HW from last night. Take out HW from last night. Text page 116, #1-19 odds Text page 116, #1-19 odds Copy HW in your planner. Copy.
Objective The student will be able to: solve systems of equations using elimination with multiplication. SOL: A.9 Designed by Skip Tyler, Varina High School.
+ Lesson 6-8: Cross Multiplication Objective: We will learn to use cross multiplication to solve a proportion. We will use cross multiplication to check.
Copyright © 2013, 2009, 2006 Pearson Education, Inc. 1 Section 5.5 Dividing Polynomials Copyright © 2013, 2009, 2006 Pearson Education, Inc. 1.
Finding a Common Denominator : : 3,6,9,12,15,18… 5,10,15,20,25,30… Now you have found the LCM. First you need to find the LCM. Now you need.
Warm Up Divide the complex number 3 – 2i 1 + i Multiply the complex number (3 -2i)(1+i)
Holt Algebra Completing the Square 9-8 Completing the Square Holt Algebra 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson.
FACTORING REVIEW EXAMPLES 1. Factor x 2 + 3x – 4Solve x 2 + 3x – 4 = 0 Graph Y 1 = x 2 + 3x – 4 Find x-intercepts What _____× _____ = – 4 and _____+ _____.
Radicals are in simplest form when: No factor of the radicand is a perfect square other than 1.No factor of the radicand is a perfect square other than.
Solving polynomial Equations in Factored Form MM1A2f: Goal: solve polynomial equations Factor trinomials of the form x2 +bx +c.
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 7 Quarter 1 Instructional Strategies Grade 7 MAP2D.
Square Root The square root of any real number is a number, rational or irrational, that when multiplied by itself will result in a product that is the.
EOG Vocabulary Week of March 28, 2011 Math Words: Fractions and Properties.
Factoring Polynomials Grouping, Trinomials, Binomials, GCF & Solving Equations.
9.6 Solving Rational Equations Presentation by Amelia Tajik and Lydia Bunker.
© 2017 SlidePlayer.com Inc. All rights reserved.