GCF Review / Using the Distributive Property Wednesday August 15 th.

Slides:

Advertisements

Similar presentations

2-8 Inverse of a sum and simplifying. Inverse of a Sum What happens when we multiply a rational number by -1? The product is the additive inverse of the.

Advertisements

Distributive Property

Objectives 1.3 To understand and apply the distributive property To remove parentheses by multiplying To insert parentheses by factoring expressions To.

Bell Work Simplify the expression: 1. 2(x +4) 2. 4x + 3y – x + 2y 3. 3(x – 6) x Answers: 2x+ 8 3x + 5y 11x – 14.

3.1 – Simplifying Algebraic Expressions

EXAMPLE 1 Apply the distributive property

In this lesson, you will be shown how to combine like terms along with using the distributive property.

EXAMPLE 3 Combining Like Terms a. 3x + 4x = (3 + 4)x = 7x b.

Warm Up Divided by Difference More than Product Minus Sum

1 8-7 Multiplying Polynomials This presentation was created following the Fair Use Guidelines for Educational Multimedia. Certain materials are included.

 The Distributive Property states that multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the.

5 Minute Check Complete in your notebook. Use one or more properties to rewrite each expression that does not use parenthesis · (w · 3) 2. (32 +

Rational Expressions: Multiply & Divide Polynomials Aim: Simplify a polynomial expression by multiplying and/or dividing polynomials.

Review: Factoring. Factors Remember that “factors” of a number are the numbers that can be multiplied to get that number. Factors of 20 are 1 and 20,

Multiplying and Factoring

Vocabulary... First, we need to know some vocabulary…  Expression: a mathematical phrase that is a combination of one or more variables, constants, and.

Aim: How do we multiply monomials with polynomials? Do Now:

Lesson 7-7 Multiplying Polynomials

Solve each equation. 1. 3b + 8 = –102. –12 = –3x – 9 3. – + 7 = 144. –x – 13 = 35 c4c4 –6 1 –28 –48 Math on the Mind.

And the Distributive Property.  You previously learned about the distributive property, but in case you have forgotten about it…  Given two terms, the.

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Addition Property of Equality If A, B, and C are real numbers, then the equations.

Polynomials & Properties of Exponents AKS: 1, 2 & 3.

8-2 Factoring by GCF Multiplying and Factoring. 8-2 Factoring by GCF Multiplying and Factoring Lesson 9-2 Simplify –2g 2 (3g 3 + 6g – 5). –2g 2 (3g 3.

Warm - up Simplify Essential Questions: (1). How do I multiply radical expressions:

Using the Distributive Property 3L interpret complicated expressions by viewing one or more of their parts as a single entity.

I CAN factor numerical expressions. I CAN factor algebraic expressions

EXAMPLE 1 Apply the distributive property

Multiplication Properties of Exponents. To multiply two powers that have the same base, you ADD the exponents. OR.

Math 71 Chapter 1. Use the order of operations to simplify each expression. What is your first step? and/or

Combining Like Terms and the Distributive Property.

Distributive Property and combining like terms.. Use the Distributive Property to simplify each expression. 1. 8(m + 5) = (3x + 9) = –2(4.

To factor means to write a number or expression as a product of primes. In other words, to write a number or expression as things being multiplied together.

Adding and Subtracting Polynomials Multiplying Polynomials Factoring Polynomials.

The Distributive Property PreAlgebra Farris 2015.

In Arithmetic (3)(5) = 15 Factors Product multiply We multiply factors to form a product. Factor We Factor a number by expressing it as a product of factors.

Math Notebook, Pencil & Calculator.  Find the sum or difference. Write the polynomial decrease from left to right.  (5a^2 -3) +(8a^2 -1) =  (3x^2 -8)

Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 8 Real Numbers and Introduction to Algebra.

Distributive Property Day 1 Distributive Property allows you to distribute a factor outside a parenthesis to the addends/subtrahends inside the parenthesis.

8.2: Multiplying and Factoring. Warm-up:  Greatest Common Factor (GCF)  The greatest factor that divides evenly into each term of an expression  Find.

Unit 4 Review!. 1. Write the expression Sum of 9 and z.

Combine Like Terms and Distributive Property. IN THIS LESSON, YOU WILL BE SHOWN HOW TO COMBINE LIKE TERMS ALONG WITH USING THE DISTRIBUTIVE PROPERTY.

Algebra 1 Warm ups Answers: 1) 15√2 + 2√10 2) 6 + 4√6 3) 15√2 + 20√10.

13(4x + 5) 8(14x + 9) 12(22x – 6) 14(2x – 8) Simplify the expression using the distributive property: Evaluate when m = 4, y = 5, a = 2 and b = 7 2m +

Combine Like Terms and Distributive Property Mrs. Lovelace January 2016 Edited from… mrstallingsmath.edublogs.org.

Distributive Property

Combine Like Terms and Distributive Property

Distributive Property

The Distributive Property

Algebra 1 Notes: Lesson 1-6: Commutative and Associative Properties

Combining Like-Terms with Distributive Property

Combine Like Terms and Distributive Property

Lesson 1-4: The Distributive Property

Simplifying Algebraic Expressions

HW Answers Add/Subt. Polynomials WS Perimeter WS 2. 5a3 – 5a n3

SIMPLIFY THE EXPRESSION

The Distributive Property

Day 7 Objective: I can factor expressions..

Factoring Special Cases

Factoring Special Cases

Chapter 3-1 Distributive Property

The Distributive Property Guided Notes

Lesson 2.2 The Distributive Property

Lesson 1-3 Algebraic Expressions & Properties

What is each an example of?

Distribute and combine like terms

Use Distributive Property 4(x + 5) -3(7-2x) + 2x (-6x+8)5

2 Chapter Chapter 2 Equations, Inequalities and Problem Solving.

GCF other factor of 36 other factor of 42

Writing Sums AS PRODUCTS & PRODUCTS as Sums

Presentation transcript:

GCF Review / Using the Distributive Property Wednesday August 15 th

Determine the GCF for each of the following:

Now let’s factor  Factor 7x+14 using the GCF Example 4

 Factor 9x - 33 using the GCF

 Factor x 2 + 8x using the GCF

Factor using GCF

Distributive Property  The Distributive Property - used to multiply a single term and two or more terms inside a set of parentheses.  This is also how we CHECK the GCF Factoring problems  Example: 3(x + 6) = 3(x) +3(6)

Practice 1. What is wrong here? 4(y + 3) = 4y (y + 7)y n(n – 9) 4. (2 – n)(2/3)

More Practice (Try these w/ a partner) 5. -2(x + 7)6. (5 – y)(-3y) 7. – (2x – 11)8. ( )(2n + 6)

This combines Monday’s lesson with distributing…  Simplify the expression: 4(n+9) – 3(2 +n)

Practice (w/ a partner) Simplify the expression: 9. (4a – 1)2 + a10. -6(v + 1) + v 11. 7(w – 5) + 3w12. (s – 3)(-2) +17s

Translate the verbal phrase into an expression, then simplify 1. Twice the sum of 6 and x, increased by 5 less than x. 2. Three times the difference of x and 2, decreased by the sum of x and 10.