Writing Sums AS PRODUCTS & PRODUCTS as Sums

Slides:



Advertisements
Similar presentations
Distributive Property
Advertisements

Factoring and Expanding Linear Expressions .
Objectives 1.3 To understand and apply the distributive property To remove parentheses by multiplying To insert parentheses by factoring expressions To.
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Lesson 4-4 Pages Greatest Common Factor (GCF)
Recall: By the distributive property, we have x ( x + 2 ) = x² + 2x Now we’re given a polynomial expression and we want to perform the “opposite” of the.
11.1 – The Greatest Common Factor (GCF)
USING THE IDENTITY & INVERSE TO WRITE EQUIVALENT EXPRESSIONS & PROOFS Engage NY: Lesson 5 Pink Packet pages
Section 4.4 – Factoring Quadratic Expressions Factors of a given number are numbers that have a product equal to the given numbers. Factors of a given.
Unit 2: Algebra Minds On. Unit 2: Algebra Lesson 3: The Distributive Property Learning Goal: I can simplify algebraic expressions using distributive property.
Solving Quadratics: Factoring. What is a factor? Numbers you can multiply to get another number 2  3.
Lesson 5.2. You will need to rewrite a mathematical expression in a different form to make the expression easier to understand or an equation easier to.
Lesson 2-2 Example Use the Commutative and/or Associative Properties to find the sum mentally Step 1 Look for two numbers whose sum is.
Lesson 2-2 Example Solve. SCHOOL STORE The school store sold 22 pencils on Tuesday, 31 pencils on Wednesday, and 19 pencils on Thursday. How many.
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.
1.7 The Distributive Property. You can use the distributive property to simplify algebraic expressions We can use the distributive property to re-write.
5-4 Factoring Quadratic Expressions M11.A.1.2.1: Find the Greatest Common Factor and/or the Least Common Multiple for sets of monomials M11.D.2.1.5: Solve.
Multiplying and Factoring Polynomial Expressions
I CAN factor numerical expressions. I CAN factor algebraic expressions
4-3 Equivalent Expressions Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.
The Distributive Property
9-2 Factoring Using the Distributive Property Objectives: 1)Students will be able to factor polynomials using the distributive property 2)Solve quadratic.
Defining Success Lesson 14-Finding the Greatest Common Factor Problem Solved!
Same Signs Different Signs 1) =+7 Objective- To solve problems involving operations with integers. Combining.
The Distributive Property Standard: Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum.
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.
Patel – Honors Classes Only Page 243 # Factoring Polynomials 2/6/14 Thursday.
Distributive Property Review 2(x + 4) 2(x) + 2(4) 2x + 8.
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.
Rewrite Addition Problems as Multiplication Problems using the Distributive Property 6.NS.4 Quick Code LZ2581 Sadlier 6-5A 1/2014.
The distributive property and factoring an expression.
GCF Review / Using the Distributive Property Wednesday August 15 th.
4-3 Equivalent Expressions Learn factor numerical and algebraic expressions and write equivalent numerical and algebraic expression.
Lesson 3.3 Read: Pages Handout #1-49 (ODD), (EOO), (ODD), (EOO)
Unit 2 Lesson 2.  Multi Step Equations require more than two steps to solve them!  They often require Combining Like Terms or the Distributive Property.
Factoring and Expanding Linear Expressions .
Factoring Using the Distributive Property
Distributive Property Says that multiplying a sum (or difference) by a number is the same as multiplying each number in the sum (or difference) by.
Introduction to Factoring
Rational Expressions with Like Denominators
Guidelines: Expressions can be rewritten (distributed) to solve.
$100 $300 $100 $400 $100 $300 $200 $100 $100 $200 $500 $200 $500 $200 $300 $200 $500 $300 $500 $300 $400 $400 $400 $500 $400.
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Warm Up Find the GCF of each set of numbers and , 45 and 30
THE DISTRIBUTIVE PROPERTY: Factoring the Expression
The Distributive Property
Properties of Numbers Use mental math to simplify –2 • 13 • 5.
Lesson 2.1 How do you use properties of addition and multiplication?
Warm-up September 19, 2016 Solve using the Order of Operations PE(MD)(AS): * 4 – 6 * 14 = (4 * 5) + (6 * 9) ÷ 2 = 4.8 ÷ 2 * 12 = SHOW ALL YOUR.
Algebraic Expressions
Day 7 Objective: I can factor expressions..
Unit 4. Day 4..
“Day F” Feb. 11, 2016 LUNCH (1st lunch) Express/Mandarin Exploratory
} 2x + 2(x + 2) = 36 2x + 2x + 4 = 36 4x + 4 = x =
Factoring EX: (22x – 4) = 2(11x – 2)
Positive Numbers and the Number Line
Equivalent Expressions
Learn to combine like terms in an expression.
Factoring.
Distribute and combine like terms
Rewriting Equations Equivalent Equations.
Use Distributive Property 4(x + 5) -3(7-2x) + 2x (-6x+8)5
GCF other factor of 36 other factor of 42
Properties and Algebraic Expressions
The Distributive Property
Presentation transcript:

Writing Sums AS PRODUCTS & PRODUCTS as Sums Engage NY- LESSON 4

Rewrite the expressions as a product of two factors. What can you factor out of both 72 & 8? 8 (9t + 1) 72t + 8 = 8 (9t + 1) What does 8 represent? Greatest Common Factor

Write each sum as a product of two factors Example 3: a) 2 ● 3 + 5 ● 3 = 3 (2 + 5) b) (2 + 5) + (2 + 5) + (2 + 5) = How many (2+5) are there? 3

Write each sum as a product of two factors For some problems, it is just easier to solve and then factor out. 2x + (5 + x ) + 5 ● 2 (2x + x) + 5 + (5 ● 2) 3x + 5 + 10 = 3x + 15 What can you factor out? GCF? 3(x + 5)

Write each sum as a product of two factors 2x + (y + x ) + 2y (2x + x) + (y + 2y) 3x + 3y What can you factor out? GCF? 3(x + y)

Expand each expression & collect like terms Page 16- Example 6- l -a – (a – b) -a – 1 (a – b) Distributive Property (– a – a ) + b Associative Property –2a + b Combine Like Terms