1.3 – Simplifying Expressions

Slides:

Advertisements

Similar presentations

Section I: Distributive Property Section II: Order of Operations.

Advertisements

Objectives 1.3 To understand and apply the distributive property To remove parentheses by multiplying To insert parentheses by factoring expressions To.

Math 009 Unit 5 Lesson 2. Constants, Variables and Terms A variable is represented by a letterx is a variable A number is often called a constant-9 is.

Multiplication of Polynomials.  Use the Distributive Property when indicated.  Remember: when multiplying 2 powers that have like bases, we ADD their.

Day Problems Rewrite each expression using each base only once.

Lesson 8.4 Multiplication Properties of Exponents

Multiplying and Dividing Powers

Chapter 6 Polynomial Functions and Inequalities. 6.1 Properties of Exponents Negative Exponents a -n = –Move the base with the negative exponent to the.

Simplifying Algebraic Expressions Distribution and Like Terms Section 5.5.

Do Now: Evaluate each expression for x = -2. Aim: How do we work with polynomials? 1) -x + 12) x ) -(x – 6) Simplify each expression. 4) (x + 5)

Polynomials By C. D.Toliver. Polynomials An algebraic expression with one or more terms –Monomials have one term, 3x –Binomials have two terms, 3x + 4.

1.Multiply a polynomial by a monomial. 2.Multiply a polynomial by a polynomial.

Homework Section 9.1: 1) pg , 19-27, ) WB pg 47 all Section 9.2: 1) pg all 2) WB pg 48 all 3) Worksheet Section 9.3: 1) pg 441.

Multiplying a Polynomial by a Monomial

Section 9.6 What we are Learning:

Warm Up Evaluate Simplify  (53)

6.1.1 – Properties of Exponents. We worked with combining/multiply like terms, mostly in single terms Example. Simplify the following expressions. 1)

Objective The student will be able to: use the distributive property to simplify expressions.

ALGEBRA 1 HELP Warm Ups 1.) 2(-4)(-6) 2.) s 2 t ÷ 10 if s = -2 and t = 10 3.) (-3) ) -52 ⁄ ) What is the multiplicative inverse of - ⅗.

1)Simplify. (-3a 2 bc 4 ) 3 (2ab 3 c) 2 (-3a 2 bc 4 ) (-3a 2 bc 4 ) (-3a 2 bc 4 ) (2ab 3 c) (2ab 3 c) -108a 8 b 9 c 14 Do Now.

Objectives Multiply expressions containing variables. Divide expressions containing variables. Page 96 Multiplying and Dividing Expressions Why? When solving.

The Distributive Property

Warm Up What is each expression written as a single power?

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

May 16, 2012 Adding and Subtracting Rational Expressions DO NOW: Simplify HW: Pg 482 #23-35odds QUIZ Friday!

1.5 The Distributive Property For any numbers a, b, and c, a(b + c) = ab + ac (b + c)a = ba + ca a(b – c)=ab – ac (b – c)a = ba – ca For example: 3(2 +

7-1 Integer Exponents 7-2 Powers of 10 and Scientific Notation 7-3 Multiplication Properties of Exponents 7-4 Division Properties of Exponents 7-5 Fractional.

Objective: I will add and subtract polynomials by combining like terms.

Objective The student will be able to: multiply two polynomials using the distributive property.

(have students make a chart of 4 x 11

The Distributive Property Chapter 2 Section 4. Distributive Property For all real numbers (rational and irrational) a, b and c a(b + c)(b + c)a a(b –

Monomials An expression that is either a number, a variable, or a product of numerals and variables with whole number exponents.

AIM: How do we multiply and divide polynomials?

8.2A Factoring using Distributive Property

Adding and Subtracting Rational Expressions

Section I: Distributive Property Section II: Order of Operations

Objective The student will be able to:

The Distributive Property

Algebra 1 Notes: Lesson 1-5: The Distributive Property

I can use the distributive property to rewrite algebraic expressions.

The Distributive Property

Aim: What are the product and power rules of exponents?

The Distributive Property

The Distributive Property

Objective The student will be able to:

Simplify and Evaluate Algebraic Expressions

The Distributive Property

Objectives The student will be able to:

Distributive Property Section 2.6

= 12x4 + 20x2 = 6x3 + 7x2 – x = – 16x5 + 72x4 = 24x3 – 6x2 + 48x

Adding and Subtracting Rational Expressions

Warm Up Evaluate Simplify  (53)

Factoring Polynomials

Multiply polynomials When multiplying powers with the same base, keep the base and add the exponents. x2  x3 = x2+3 = x5 Example 1: Multiplying Monomials.

SIMPLIFY THE EXPRESSION

The Distributive Property

The Distributive Property

Adding and Subtracting Rational Expressions

ALGEBRA I - SECTION 7-2 (Multiplying Powers With the Same Base)

Title of Notes: Combining Like Terms & Distributive Property

Bellwork: 1/23/ (w + 1) 2. 3x(x2 – 4) 3. 4h2 and 6h

The Distributive Property

Algebra 1 Section 2.3.

Objective The student will be able to:

Warm Up Simplify the expression by using distributive property and then combining like terms. x(x + 5) + 4(x + 5)

Exercise Find the following products mentally. 5(20) 100 5(7) 35 5(27)

Warm Up Evaluate Simplify  (53)

Using the Distributive Property to Simplify Algebraic Expressions

Warm Up Simplify: 5(b+4) 2)-3(2x+5) 3)4(-8-3q) 4)- 6(2b-7)

Do Now: Aim: How do we work with polynomials?

Presentation transcript:

1.3 – Simplifying Expressions Textbook pg. 46 Objective: The student will use the distributive property and definition of like terms in order to simplify expressions.

STANDARD FORM Rewrite: 1) 5x2 + 6x4 – 3x + 9x7 – 2 All polynomials should go: Alphabetically (variables) Descending order (exponents) Rewrite: 1) 5x2 + 6x4 – 3x + 9x7 – 2 2) 6a – 8bc + 7c + ab – ac 3) 3x2 – 5xy + 6y – y3 – 7x

2y 7 4x2 3 Like terms: exact same variables with same exponents x2 4ab – 5 12y -ab 2y 7 4x2 3 Simplify: 4) 8x – 7y – 5x + 9y 5) -4a2 + 7ab – 2a2 6) 5a2b + 4ab2 + 3a – 7ab2 + a2b

Distributive multiplying one term to ALL Property: other terms 7) 5(3x2 + 2x – 4) 8) -7ab(5a + 9b -3c) 9) x2y(9 + 2y)

Simplifying: distribute first, combine second 10) 8x(x – 3) – 10x 11) 5m –(mn – 8m + 3n) + 6n 12) 4xy2 + 8x2 – 7y + x(3x – y2)

Name Date Period 1.3 HW – pg. 50 #9-19 (odd), 38-40, 61-64, 69-71, 87-90