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13.1 Factoring Greatest Common Monomials with Algebra Tiles
Prerequisite Understandings Area Models A = l x w How to build rectangles with dimensions other than 1.
Factoring Out Greatest Common Monomial 3x + 12 3(x + 4)
Factoring Out Greatest Common Monomial Model the following: 3x + 9 3(x + 3) 10x + 5 5(2x + 1) 6x – 3 3(2x – 1) -2x – 8 -2(x + 4)
Factoring Out Greatest Common Monomial 2x 2 + 6x 2x 2 + 6x 2x(x + 3)
Factoring Out Greatest Common Monomial Model the following: x 2 + 4x x(x + 4) 4x 2 + 6x 2x(2x + 3) -6x 2 – 2x -2x(3x + 1) -4x 2 + 12x -4x(x – 3)
List all of the factor pairs of 168 If these measures were the sides of a rectangle, which dimensions would give you the greatest area? Which dimensions.
Algebra 1 Chapter 8 Factors & The Greatest Common Factor.
Alge-Tiles an Overview. x x2x2 y y2y2 xy 1 Set 1 Set 2.
We are now going to try factoring a very specific type of polynomial, trinomials of the form 1x 2 + bx + c We are now going to try factoring a very specific.
How to Use Algebra Tiles. What are Algebra Tiles????? X X2X2 Red = Negative Numbers Yellow = Positive Numbers A Small Square = 1 A Rectangle = X A Large.
Holt Algebra Factoring by GCF 8-2 Factoring by GCF Holt Algebra 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz.
MULTIPLYING MONOMIALS TIMES POLYNOMIALS (DISTRIBUTIVE PROPERTY)
Slide 1 Insert your own content. Slide 2 Insert your own content.
8-4B Solving Quadratic Equations when the Leading Coefficient isn’t 1. X-Factor method If you factor out a GMF: before using the X figure, keep it, after.
Distribution and like terms A look at the algebra behind algebra tiles….
Multiplying Polynomials (x + 2)(x + 3). Multiplying Polynomials (x – 1)(x +4)
Math 71A 5.3 – Greatest Common Factors and Factoring by Grouping 1.
Using Algebra Tiles to Write an Expression as a Product or Sum.
8-4A Factoring Trinomials when the Leading Coefficient isn’t 1. X-Factor method Algebra 1 Glencoe McGraw-HillLinda Stamper.
Multiplying monomials & binomials You will have 20 seconds to answer the following 15 questions. There will be a chime signaling when the questions change.
Combining Like Terms. Only combine terms that are exactly the same!! Whats the same mean? –If numbers have a variable, then you can combine only ones.
Limits (Algebraic) Calculus Fall, What can we do with limits?
EXAMPLE 4 Finding the GCF of Monomials Find the greatest common factor of 12a 3 and 9a 2. STEP 1 Write the prime factorization of each expression. 12a.
1 Beginning & Intermediate Algebra – Math 103 Math, Statistics & Physics.
Factoring with Algebra Tiles. Factoring Polynomials Factoring is the process of writing a polynomial as a product. Algebra tiles can be used to factor.
SOLUTION EXAMPLE 2 Find the greatest common monomial factor Factor out the greatest common monomial factor. a. 12x + 42y a.a. The GCF of 12 and 42 is 6.
What numbers can be multiplied together to get 24? 1 x 24 2 x 12 3 x 8 4 x 6 The number 24 is called the product because it is the result of multiplying.
Solving Equations with Algebra Tiles Part III Jim Rahn
Addition 1’s to
9/12/12. I can identify a even, odd, composite or prime number. LEARNING TARGET.
ALGEBRAIC EXPRESSIONS Step 1 Write down the question Step 2 Plug in the numbers Step 3 Use PEMDAS Work down, Show all steps.
Test B, 100 Subtraction Facts
Solving Equations with Algebra Tiles Part II Jim Rahn
5.9 + = 10 a)3.6 b)4.1 c)5.3 Question 1: Good Answer!! Well Done!! = 10 Question 1:
FIND THE AREA ( ROUND TO THE NEAREST TENTHS) 2.7 in 15 in in.
ALGEBRA 1 Lesson 8-2 Warm-Up. ALGEBRA 1 This is an area model using Algebra Tiles. Simply model 3x + 1 on the top (length of rectangle) and 2x on the.
Math Pacing Multiplying a Polynomial by a Monomial.
Addition Facts = = =
1 ALGEBRA TILES 2 Rachel Magnuson 3 By the end of this Show, youll be able to... Define and explain algebra tiles Be able to use algebra tiles to factor.
Polynomials Lesson 2 Multiplying Binomials using Algebra tiles and Rectangle Diagrams.
10/5/2013Multiplication Rule 11 Multiplication Rule 1: If a > b and c > 0 then a c > bc Examples If 7 > 3 and 5 > 0 then 7(5) > 3(5) If 2x + 6 > 8 then.
WEEK 1 You have 10 seconds to name…
§ 1.10 Properties of the Real Number System. Angel, Elementary Algebra, 7ed 2 Commutative Property Commutative Property of Addition If a and b represent.
Objectives The student will be able to: 1. multiply monomials. 2. simplify expressions with monomials. SOL: A.10 Designed by Skip Tyler, Varina High School.
1 Copyright © 2010, Elsevier Inc. All rights Reserved Fig 3.1 Chapter 3.
Factoring using GCF Algebra I. Definitions Prime number – is a whole number whose only factors are itself and one (a number can’t be factored any more)
Numbers with the same sign The product of 2 positive numbers or 2 negative numbers is positive. Numbers with different signs The product of a positive.
Problem # Problem #
1.6 – Solving Compound and Absolute Value Inequalities.
Algebraic Expressions. Objectives I will model algebraic expressions with popsicle stick and cubes. I will replace a variable with a given value and then.
Objective - To recognize and factor a perfect square trinomial. Find the area of the square in terms of x. Perfect Square Trinomial.
Section 2.2 ADDING REAL NUMBERS. Algebra tiles can be used to add or subtract integers. Remember integers are.
How do factor pairs relate to the dimensions of a rectangle? What are square numbers?
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