Algebraic Properties Identifying & Applying Them.

Slides:

Advertisements

Similar presentations

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.

Advertisements

Warm Up Add Multiply (8) (22)

Simplifying Expressions

Simplifying Expressions

1-7 The Distributive Property

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

Taks Objective 2 Properties and attributes of function.

Simplifying Expressions and Combining Like Terms

Review Laws of Exponents

Properties of Algebraic Notation

Simplifying Algebraic Expressions Distribution and Like Terms Section 5.5.

2-1 Operations on Polynomials. Refer to the algebraic expression above to complete the following: 1)How many terms are there? 2)Give an example of like.

Simplifying Algebraic Expressions: A review of coefficients, constants, and Like Terms and Applying the Distributive Property so you can simplify.

 When adding radical expressions, you want to have the same root and radicand.  With the same root and radicand, you can add the coefficients and.

1-4 Properties and Mental Math Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

Lesson 3.3 Solving Multi-step Equations Mr. Beltz & Mr. Sparks.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Simplifying Algebraic Expressions 1-5. Vocabulary Term- a number, a variable, or a product of numbers and variables. Terms in an expression are separated.

Holt Algebra Simplifying Expressions Use the Commutative, Associative, and Distributive Properties to simplify expressions. Combine like terms. Objectives.

Adding and Subtracting Expressions

Algebra Basics – The Game Rules Think of algebra as a game. Objective of game: To isolate/find out what the variable is (equals). Game rules: 1.) Both.

Chapter 9 Section 3 Adding, Subtracting and Multiplying Square Roots.

The properties of real numbers help us simplify math expressions and help us better understand the concepts of algebra.

I CAN factor numerical expressions. I CAN factor algebraic expressions

Algebra 1 Warm Up.

Combining Like Terms and the Distributive Property.

Solving Linear Equations and Inequalities Chapter 2.

Combining Like Terms, Add/Sub Polynomials and Distributing Tammy Wallace Varina High.

4-3 Equivalent Expressions Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

Choctaw High School Algebra I EOI Review 1 Simplifying Expressions To simplify an algebraic expressions, you need to combine the like terms. Like terms.

Warm Up Simplify each expression. 1.10c + c 2. 5m + 2(2m – 7) 11c 9m – 14.

6 th grade Math Vocabulary Word, Definition, Model Emery UNIT 2.

Combining Like Terms and the Distributive Property Objectives: Students will be able to explain the difference between algebraic equations and expressions.

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

The Distributive Property and Simplifying Expressions Sections 2.5 – 2.8.

4-3 Equivalent Expressions Learn factor numerical and algebraic expressions and write equivalent numerical and algebraic expression.

3.1 – Simplifying Algebraic Expressions

Combining Like Terms and using the Distributive Property

ALGEBRA VOCABULARY.

Objective 1 Simplify expressions. Slide

1.4 Basic Rules of Algebra.

POD: Using the table determine if the operation

Warm Up Find the GCF of each set of numbers and , 45 and 30

2-4 The Distributive Property

Warm Up 8/13/09 Simplify – (8 + 3)

Warm Up Evaluate each expression for y = y + y 2. 7y

Algebraic Expressions, Equations, and Symbols

Objectives Combining like terms..

Objectives Combining like terms..

Algebraic Expressions

Identifying & Applying Them

Expressions and Equations

Chapter 2: Rational Numbers

Combining Like Terms and Distributive Property

Equivalent Expressions

Chapter 3-1 Distributive Property

2-5 (Part I) Applying the Distributive Property

2.7 The Distributive Property

Set Up Vocabulary! FRONT BACK 1) Variable 9) Distributive Property

Do Now Evaluate each algebraic expression for y = 3. 3y + y y

Objective: SWBAT simplify algebraic expressions by combining like terms.

Chapter 3-2 Simplifying Algebraic Expressions

Warm Up Simplify      20  2 3.

Distributive Property

Presentation transcript:

Algebraic Properties Identifying & Applying Them

Key Vocabulary Combining Like Terms Commutative Property Associative Property Distributive Property

Combining Like Terms 2x² - 4x + 5x² + 3 To ‘Combine Like Terms’ it is essential to recall the definition of ‘terms’ & ‘coefficients.’ Terms: P arts of the expression separated by addition or subtraction. Ex: 2x; 4y; 5x; 3 Coefficients: The numbers in front of the variables. Ex: 2, 4, & 5

Combining Like Terms 2x² + 5x² - 4x st : Find each term with the same variable to the same power! Ex: 2x² & 5x² 4x 3 2 nd : Simplify using the coefficients and operations. Ex: 2x² + 5x² = 7x² 4x = 4x 3 = 3 3 rd : Unlike terms cannot be combined. 2x² cannot be added or subtracted with 4x or with 3 7x² - 4x + 3

Combining Like Terms

x + x + x is the same as 3x x + y + y is the same as x + 2y 4y – yis the same as 3y

Combining like terms is essential to apply the algebraic properties.

A way to remember: Keep ‘order’ in the community! COMMUTATIVE PROPERTY (Ordering) WordsNumbers You can add or multiply numbers in any order =  2 = 2  15

Examples of Applying the Commutative Property 5x + 2y + 4 = 2y x 3 x 4 = 4 x 3 4x + 9 = 9 + 4x *All of the terms on one side of the equal sign are on the other side of the equal sign just in a different order.*

A way to remember! Be careful of the group you associate with! ASSOCIATIVE PROPERTY (Grouping) WordsNumbers ONLY when you are adding or multiplying, you can group any of the numbers together. (17 + 2) + 9 = 17 + (2 + 9) (12  2)  4 = 12  (2  4)

Examples of Applying the Associative Property All of the terms on each side of the equal sign are the same. The order is the same.

The Commutative and Associative Properties do not apply to subtraction or division. Caution!

DISTRIBUTIVE PROPERTY WordsNumbers To multiply a number by a sum, multiply by each number in the sum and then add. 6  (10 + 4) = (6  10) + (6  4) \ / \ / = \ / = 84 Distributive Property

A way to remember! Distribute evenly to everyone.

6(x + 7) (6· x) + (6 · 7) \/ \/ 6x + 42 Use the Distributive Property. There are no like terms, so it stays the same. Multiply.

A way to remember! Distribute evenly to everyone x (24 ÷ 6) + (6x ÷ 6) \ / \ / (4 + x) 6(4 + x) Factor out the GCF of each term. … in this case 6.. Place the quotients in parenthesis. Place the GCF in front of the parenthesis of quotients.

Let’s Practice! 1. 4x n x 4. 33n 5. 3x 6. 4x y + x 8. 8x + 4y 9. 27x + 18y 10. 6x x x 2. 4n + 2n (6x) 4. (3 · n) · x + x + x 6. 3(x + 1) + x 7. (14y + x) + 22y 8. 4(2x + y) 9. 27x + 18y 10. 4(x + 1) + 2x