 Students will be able to use the Distributive Property to simplify expressions.

Slides:

Advertisements

Similar presentations

Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 4.6 Complex Fractions and Review of Order of Operations.

Advertisements

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.

Distributive Property

WARM UP  Use the Distributive Property to rewrite the expression without parentheses. 1. 5(y - 2) 2. -2(x - 6) 3. -1(1 + s) 4. -2(2 + t) 5. -3(x – 4)

ALGEBRA 1 BASICS CHEAT SHEET THINGS YOU SHOULD KNOW . . .

The Fundamental Property of Rational Expressions

Simplifying Numerical Expressions

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

Integers and Introduction to Solving Equations

Taks Objective 2 Properties and attributes of function.

Operations: Add, Subtract, Multiply, Divide

Order Of Operations.

PRE-ALGEBRA. Lesson 4-8 Warm-Up PRE-ALGEBRA How do you divide powers with the same base? Rule: When you divide numbers with the same base, subtract the.

Exponents and Division

Complex Fractions and Review of Order of Operations

Properties of the Real Number System. FOR ADDITION: The order in which any two numbers are added does not change the sum. FOR MULTIPLICATION: The order.

Algebra Unit 1: Foundations for Algebra. Write an algebraic expression for the product of 9 and a number, n less than 18.

Order of Operations - rules for arithmetic and algebra that describe what sequence to follow to evaluate an expression involving more than one operation.

Unit 0 Lessons 1-3 Evaluating expressions using order of operations By R. Portteus and By Miss Klien modified by LHope.

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

Adding and Subtracting Rational Expressions

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

Solving Multi-Step Equations

Combining Like Terms and the Distributive Property.

Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Chapter 1 Introduction to Algebraic Expressions.

The Distributive Property PreAlgebra Farris 2015.

EXAMPLE 1 Find multiplicative inverses of numbers a. The multiplicative inverse of 1 5 – is – 5 because b. The multiplicative inverse of 6 7 – is 7 6 –

Algebra 1 Foundations, pg 150 Focus Question How do you write inequalities?  You can use the symbol ______________ to compare two expressions.  Students.

Chapter 2 Test Review White Board Practice 1- point extra credit for every correct answer!

 To evaluate algebraic expressions  To simplify algebraic expressions Algebra 2 Foundations, pg 18.

MTH 091 Sections 3.1 and 9.2 Simplifying Algebraic Expressions.

 The Commutative Properties of Addition and Multiplication state: changing the order of the addends does not change the sum changing the order of the.

The Distributive Property Section 1-7 Part 1. Goals Goal To use the Distributive Property to simplify expressions. Rubric Level 1 – Know the goals. Level.

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 +

Warm-Up Simplify: Easy Day (about 8 mins left)

Chapter 7 Section 5.

Warm Up Add or subtract –

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.

We will use two methods to simplify these expressions.

Objective The student will be able to:

Distributive Property

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

Properties of Real Numbers

Copyright 2013, 2009, 2005, 2002 Pearson, Education, Inc.

Identity and Equality Properties

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

1 Introduction to Algebra: Integers.

Algebra I Commandments

Combining Like-Terms with Distributive Property

2-4 The Distributive Property

Properties of Real Numbers

Properties for Addition and Multiplication only

1.2 Distributive Property Distributive Property

Warm Up Add or subtract –

Order Of Operations.

1-7: The Distributive Property

Simplifying Algebraic Expressions

Lesson 2.1 How do you use properties of addition and multiplication?

Dividing Fractions Chapter 6 Section 6.5.

Multi-Step Equations Mrs. Book.

Distributive Property and Like Terms

Order of Operations and Evaluating Expressions

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

Equations Containing Decimals

The Distributive Property Guided Notes

Lesson 2.2 The Distributive Property

The Distributive Property

GCF other factor of 36 other factor of 42

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:

 Students will be able to use the Distributive Property to simplify expressions.

Algebra 1 Foundations, pg 52 To solve problems in mathematics, it is often useful to rewrite expressions in simpler forms. The _____________________, illustrated by the area model below, is another property of real numbers that helps you to simplify expressions. Distributive Property

 Students will be able to use the Distributive Property to simplify expressions. Focus Question How does the Distributive Property work? Multiply the expression outside the parentheses by each expression inside the parentheses. Algebra 1 Foundations, pg 52 “The ___________________ can be used to multiply or to factor expressions. When you multiply using the distributive property, the product will have no parentheses.” Pre-Algebra, pg 68 distributive property

Review: What does this expression mean: 3m?  3 is being multiplied by m.  There are 3 m’s. What does this expression mean: 3(m+2)?  3 is being multiplied by the group (m+2).  There are 3 (m+2)’s.  Students will be able to use the Distributive Property to simplify expressions. Here’s why it works: 3(m+2) = (m+2) + (m+2) + (m+2) = m + m + m = 3m + 6

Three times the sum of is written as 3(10 + 5). You can find the result in two ways. One way is to perform the operation inside parentheses first. 3(10 + 5) AGS Algebra, pg 38 Another way is to use the distributive property. 3(10 + 5)  Students will be able to use the Distributive Property to simplify expressions.

Algebra 1 Foundations, pg 53

Example: Simplify 3(a + b). Since you cannot perform the operation inside parentheses first (because you do not know the values of a and b), use the distributive property. Apply the distributive property. 3(a + b)  Students will be able to use the Distributive Property to simplify expressions.

Example: 3(r + 4) 3(r + 4) means (r + 4) + ( r+ 4) + (r + 4) r + r + r r + 12 Apply the distributive property. 3(r + 4)  Students will be able to use the Distributive Property to simplify expressions.

Example: 2(a + 6b + 1) Apply the distributive property. 2(a + 6b + 1)  Students will be able to use the Distributive Property to simplify expressions.

Algebra 1 Foundations, pg 53 division Recall that a fraction bar may act as a grouping symbol. A fraction bar indicates ___________. Any fraction can also be written as a. You can use this fact and the Distributive Property to rewrite some fractions as sums or differences. abab 1b1b

 Students will be able to use the Distributive Property to simplify expressions.

Algebra 1 Foundations, pg 53

 Students will be able to use the Distributive Property to simplify expressions.