ALGEBRA I - SECTION 1-7 (The Distributive Property)

Slides:

Advertisements

Similar presentations

Warm Up Add Multiply (8) (22)

Advertisements

Math 015 Section 6.1 Equations. Many students like to remember the process for solving linear equations as: any algebra expressions on each side variable.

Simplifying Expressions

EXAMPLE 1 Apply the distributive property

The Distributive Property

Prerequisite Skills VOCABULARY CHECK Copy and complete using a review word from the list; perimeter, distributive property, like terms, inequality, reciprocal.

The Distributive Property Purpose: To use the distributive property Outcome: To simplify algebraic expressions.

Algebraic Expressions

2.1 Sums and Differences of Polynomials

1.2 – Evaluate and Simplify Algebraic Expressions A numerical expression consists of numbers, operations, and grouping symbols. An expression formed by.

The Distributive Property allows you to multiply each number inside a set of parenthesis by a factor outside the parenthesis and find the sum or difference.

1 ALGEBRA 1B UNIT 8 Multiplication Property of Exponents DAY 2.

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.

7-1 Zero and Negative Exponents

Multiplying and Factoring

Use the Distributive Property to: 1) simplify expressions 2) Solve equations.

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

Chapter 1 Section 8. Copyright © 2012, 2008, 2004 Pearson Education, Inc. Objectives 1 Simplifying Expressions Simplify expressions. Identify terms and.

HAWKES LEARNING SYSTEMS Students Matter. Success Counts. Copyright © 2013 by Hawkes Learning Systems/Quant Systems, Inc. All rights reserved. Section 2.1.

Combining Like Terms and the Distributive Property.

THE DISTRIBUTIVE PROPERTY I can use the distributive property to simplify expressions.

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

HAWKES LEARNING SYSTEMS Students Matter. Success Counts. Copyright © 2013 by Hawkes Learning Systems/Quant Systems, Inc. All rights reserved. Section 7.7.

Notes 3.4 – SOLVING MULTI-STEP INEQUALITIES

Equivalent Expressions 6.7. Term When addition or subtraction signs separate an algebraic expression in to parts, each part is called a term.

Expanding Algebraic Expressions Section 7-1 in Digits.

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

MTH 091 Sections 3.1 and 9.2 Simplifying Algebraic Expressions.

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

SECTION 2.6 ADDING AND SUBTRACTING EXPRESSIONS OBJECTIVES: USE THE DISTRIBUTIVE PROPERTY TO COMBINE LIKE TERMS AND SIMPLIFY EXPRESSIONS WITH SEVERAL VARIABLES.

Review Simplify Expressions Distributing and Combining Like Terms.

7.2 Properties of Rational Exponents Do properties of exponents work for roots? What form must they be in? How do you know when a radical is in simplest.

3.1 – Simplifying Algebraic Expressions

The Distributive Property

2 Understanding Variables and Solving Equations.

ALGEBRA I - SECTION 1-7 (The Distributive Property)

The number of times a number or expression (called a base) is used as a factor of repeated multiplication. Also called the power. 5⁴= 5 X 5 X 5 X 5 = 625.

Algebra 1 Section 10.1 Add and subtract polynomials

Objective 1 Simplify expressions. Slide

2-4 The Distributive Property

The Distributive Property

Solving Equations Containing Fractions

Section 8-2: Multiplying and Dividing Rational Expressions

1-7: The Distributive Property

Review Algebra.

SIMPLIFY THE EXPRESSION

Objectives Combining like terms..

Objectives Combining like terms..

Multiplying and Factoring

Chapter R Algebra Reference.

Chapter 2: Rational Numbers

Evaluating expressions and Properties of operations

Multiplication Properties of Exponents

LINEAR EQUATIONS.

Equations Containing Decimals

Solving Equations Containing Fractions

Simplifying Algebraic Expressions

Learn to combine like terms in an expression.

1.2 Distributive Property & Combining Like Terms

LINEAR EQUATIONS.

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

Simplify by combining like terms

Chapter 2: Solving One-step Equations and Inequalities

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

Solving Equations with Fractions

Chapter 3-2 Simplifying Algebraic Expressions

Warm Up Simplify      20  2 3.

Ch 1, L7 Part 2 Students will be able to use the Distributive Property to simplify expressions. You can use the Distributive Property and mental math to.

Using the Distributive Property to Simplify Algebraic Expressions

Presentation transcript:

ALGEBRA I - SECTION 1-7 (The Distributive Property) @ SECTION 1-7 : THE DISTRIBUTIVE PROPERTY

DISTRIBUTIVE PROPERTY : For any numbers, a, b, and c, a( b + c) = a • b + a • c TERM : a number, a variable, or the product of a number and a variable. Examples : CONSTANT : a term with no variable. Examples :

COEFFICIENT : the number multiplying a variable. Examples : SIMILAR (LIKE) TERMS : terms with the same variables with the same exponents. Examples : SIMPLEST FORM : an expression written with no grouping symbols and no like terms. Examples :

6(2x + 5) = 6 • 2x + 6 • 5 = 12x + 30 Simplest Form Distributive Property Term Constant Coefficient

Use the distributive property to simplify each expression. ANSWER : 4x + 32 2) 5(2n – 7) ANSWER : 10n - 35 3) -6(4b – 1) ANSWER : -24b + 6 4) -(6 + a) ANSWER : -6 - a 5) -(2x – 9) ANSWER : -2x + 9

Write each fraction as a sum or difference. ANSWER : 2x – (13/2)

Simplify each expression. 8) 8p – 5p ANSWER : 3p 9) 10k2 + 6m – 5k + 2m ANSWER : 10k2 – 5k + 8m 10) 12y – 6 – 15y + 8 ANSWER : -3y + 2 11) 6(3n + 5) + 3n - 50 ANSWER : 21n - 20 12) x3 – 2x2 + 5x + 6x2 – 3x + 1 ANSWER : x3 + 4x2 + 2x + 1

Use the distributive property to solve mentally. Deli sandwiches cost $4.95 each including tax. Asa order five deli sandwiches. How much does he owe? Solution : 5(4.95) = 5(5 – 0.05) = 5 • 5 – 5 • 0.05 = 25 – 0.25 = $24.75 14) 199 X 4 ANSWER : 796