Simplifying Algebraic Expressions

Slides:

Advertisements

Similar presentations

Warm Up Add Multiply (8) (22)

Advertisements

Simplifying Expressions

Simplifying Expressions

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

PRE-ALGEBRA. Lesson 4-7 Warm-Up PRE-ALGEBRA How do you multiply numbers with the same base? How do you multiply powers in algebraic expressions? Rule:

Lesson 8.4 Multiplication Properties of Exponents

Simplify the expression 3x + 5(x – 9) 3x + 5(1x + -9) 3x + 5·1x + 5·-9 3x + 5x x Warm Up after Exercise 4-2.

Multiplying and Factoring

More Multiplication Properties of Exponents

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.

Holt CA Course 1 1-4Properties of Numbers AF1.3 Apply algebraic order of operations and the commutative, associative, and distributive properties to evaluate.

Course Properties Learn how to identify properties of rational numbers and use them to simplify numerical expressions.

1-4 Properties and Mental Math 9/20/11 Warm Up Find each sum or product (24) 4. 7(12) 5. 3(91) 6. 6(15)

1-8 Simplifying Expressions Warm Up Warm Up Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation.

1.7 The Distributive Property. You can use the distributive property to simplify algebraic expressions We can use the distributive property to re-write.

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

Lesson #1.  Foldable: terms, definitions and examples  Mathematical properties– commutative, associative, distributive, identity  I CAN apply the properties.

Holt CA Course 1 1-4Properties of Numbers Warm Up Warm Up California Standards Lesson Presentation Preview.

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

Solving Two-Step and 3.1 Multi-Step Equations Warm Up

Holt Algebra Simplifying Expressions 1-7 Simplifying Expressions Holt Algebra 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz.

Simplifying Algebraic Expressions. 1. Evaluate each expression using the given values of the variables (similar to p.72 #37-49)

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

The Distributive Property

Order of Operations and the Distributive Property COURSE 2 LESSON 1-9 Use the Distributive Property to find 7(52). What you think 52 is Finding.

Applied Algebra B Lesson: 2 – 3 Adding Integers Objective: Learn to add integers.

Lesson 6 Adding Linear Expressions Presented By Ms. Bryant For Mr. Cline Course 2 mathematics Laveen Campus.

Holt Algebra Multiplying and Dividing Radical Expressions Warm Up Simplify each expression

Martin-Gay, Beginning Algebra, 5ed

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

Number Properties. Commutative Property of Addition Words: In a sum, you can add terms in any order. Numbers: 5 + (-6) Algebra: a + b b + a.

Notes Over 1.2.

Simplifying Expressions

Distributive Property

Adding and Subtracting Radical Expressions

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

Review Problems Algebra 1 11-R.

7-4 More Multiplication Properties of Exponents

Algebra 1 Section 2.2 Add real numbers

Lesson 15 Aim: How can we use the distributive property to simplify algebraic expressions?

Warm Up 8/13/09 Simplify – (8 + 3)

Simplifying Expressions

Simplifying Expressions

Unit 3. Day 1..

Properties of Numbers Use mental math to simplify –2 • 13 • 5.

Objectives Use the Commutative, Associative, and Distributive Properties to simplify expressions.

Expanding and Simplifying Algebraic Expressions

Objectives Combining like terms..

Objectives Combining like terms..

Properties of Numbers Identify each property. a. 0 + x = x

How do we use properties to simplify logarithmic expressions?

Multiplying and Factoring

Solving Multi-Step Equations

Simplifying Expressions

Simplifying Algebraic Expressions

Evaluating expressions and Properties of operations

Multiplying Powers with the Same Base

Multiplication Properties of Exponents

Simplifying Expressions

Learn to combine like terms in an expression.

Objectives Use the Commutative, Associative, and Distributive Properties to simplify expressions.

Simplify by combining like terms

Lesson Quizzes Standard Lesson Quiz

Distribute and combine like terms

Do Now: Simplify the algebraic expression 16y6 + 4y4 – 13y

Simplifying Expressions

Simplifying Expressions

Distributive Property

Using the Distributive Property to Simplify Algebraic Expressions

Presentation transcript:

Simplifying Algebraic Expressions COURSE 3 LESSON 2-3 Simplify 2h + 4r + 7t + h + 3r + t. 2h + 4r + 7t + h + 3r + t = 2h + 1h + 4r + 3r + 7t + t Commutative Property of Addition = (2 + 1)h + (4 + 3)r + (7 + 1)t Distributive Property = 3h + 7r + 8t Simplify. 2-3

Simplifying Algebraic Expressions COURSE 3 LESSON 2-3 Simplify 4(b – 3) + 2b. 4(b – 3) + 2b = 4b – 12 + 2b Distributive Property = 4b + 2b – 12 Commutative Property of Addition = (4 + 2)b – 12 Distributive Property = 6b – 12 Simplify. 2-3

Simplifying Algebraic Expressions COURSE 3 LESSON 2-3 Simplify 7t – 2(t – 3). 7t – 2(t – 3) = 7t + (–2)(t – 3) Add the opposite of 2(t – 3). = 7t + [–2t – (–6)] Distributive Property = 7t + (–2t) + 6 Simplify. = [7 + (–2)]t + 6 Distributive Property = 5t + 6 Simplify. 2-3

Simplifying Algebraic Expressions COURSE 3 LESSON 2-3 Simplify each expression. 1. 3h + 7h 2. –13c + c 3. 4y – 7 + 8y 4. 1 – 6(b – 9) 10h –12c 12y – 7 –6b + 55 2-3