Holds a place for a number! Any letter can be used! b + 6 3 – 2 m Variables 2 x² + 6 xy – 7.

Slides:



Advertisements
Similar presentations
Multiplying and Dividing Monomials. Objectives: Understand the concept of a monomial Use properties of exponents to simplify expressions.
Advertisements

Homework Answers (1-2 Worksheet)
8.1 Multiplying Monomials
PRESENTATION 12 Basic Algebra. BASIC ALGEBRA DEFINITIONS A term of an algebraic expression is that part of the expression that is separated from the rest.
Properties of Exponents
1.2 – Evaluate and Simplify Algebraic Expressions A numerical expression consists of numbers, operations, and grouping symbols. An expression formed by.
Lesson 1 MULTIPLYING MONOMIALS. What are we going to do…  Multiply monomials.  Simplify expressions involving powers of monomials.
Simplify each expression x 5 3x –2 3.(–2w –2 )(–3w 2 b –2 )(–5b –3 ) x 3 30 b 5 –
Multiplying and Dividing Powers
Multiplying and Dividing Monomials 4.3 Monomial: An expression that is either a: (1) numeral or constant, ex : 5 (2)a v ariable, ex: x (3)or a product.
Lesson 1 – Exponent Laws 30 Learning Goal I can use the exponent laws to simplify exponential expressions Unit 6: Exponential Functions.
Evaluating Algebraic Expressions 4-4 Multiplying and Dividing Monomials Math humor: Question: what has variables with whole-number exponents and a bunch.
Bell Work – November 3, Simplify: – What is the y-intercept of the line represented by y = ½ x + 4? 3. Divide: ½ ÷ ¾.
Aim: How do we multiply a monomial by a monomial? Do Now: Multiply: 1. 3 · 3 · 3 2. x · x 3. 3x · 2x 4. x³ · x² 5. (4x 2 ) 2.
Combining Like Terms. Vocabulary Constant A number with nothing else attached to it. Examples: 1, 2, 47, 925.
5-1 Monomials Objectives Students will be able to: 1)Multiply and divide monomials 2)Use expressions written in scientific notation.
Warm Up What is each expression written as a single power?
1.3 Algebraic Expressions Goals: ~Evaluate algebraic expressions ~Simplify algebraic expressions.
1-2: Evaluate and Simplify Algebraic Expressions Numeric expression = numbers, operations and grouping symbols Variable = LETTER used to represent a number.
Monomials Multiplying Monomials and Raising Monomials to Powers.
Combining Like Terms, Add/Sub Polynomials and Distributing Tammy Wallace Varina High.
Get out Page 212 Add this problem to Page 212. a.)
12.01 Multiplying Monomials. A monomial is a number, a variable, or a product of both. Examples: 8, x, 5y, x 3, 4x 2, – 6xy 7 Exponential Notation amam.
Simplifying Exponent Expressions Football Mania. Simplifying Exponent Expressions Football.
LESSON 4-7 EXPONENTS & MULTIPLYING. When we multiply terms with exponents  ADD exponents of like variables.
AIMS Math Prep Jan 9-20 Evaluating expressions, simplifying expressions, compound interest formula.
Open your workbook to pg. 42 Rational Exponents Complete pg. 42 #1-6.
Review Simplify Expressions Distributing and Combining Like Terms.
Exponents and Monomials. Monomial is an expression that is a number, a variable, or a product of a number and variables. Constant is a monomial containing.
Unit 2: Properties of Exponents Jeopardy
2 Understanding Variables and Solving Equations.
Simplifying Expressions
Combining Like Terms.
Bell Ringer Simplify by combining like terms: 1. 2x – 6 + 5x + 9 = y – 7y + 5 = 3. 4x – 6y – 2x + 9y = 7x y + 8 2x + 3y.
Simplifying Expressions
ALGEBRA Algebra is a branch of mathematics in which symbols are used to represent numbers.
Aim: How do we multiply polynomials?
Exponents and Monomials
Goal: Simplify expressions with like terms
Rational Expressions – Simplifying
Multiplying and Dividing Powers
Multiplying and Dividing Monomials
Chapter 5-1 Exponents.
Exponents and Monomials Lesson
Exponents and Monomials
Algebraic Expressions
5-3 Multiplying and Dividing monomials
Unit 2: Properties of Exponents Jeopardy
Making Equivalent Expressions By Combining Like Terms
Simplifying Variable Expressions
1.3 – Simplifying Expressions
Title of Notes: Combining Like Terms & Distributive Property
Learn to combine like terms in an expression.
Exponents and Monomials
Simplifying Algebraic Expressions
2.7 The Distributive Property
8.1 – 8.3 Review Exponents.
ALGEBRA Algebra is a branch of mathematics in which symbols are used to represent numbers.
Warm Up Simplify 3(x + 2) -2(2y + 3) -4(-3p + 4) 3(-5z – 1)
Chapter 2: Solving One-step Equations and Inequalities
Terms that have exactly the same variable factors Like Terms Terms that have exactly the same variable factors 45x^2 & x^2 2s & 9m -8z.
Parts of an Expression EE2b. Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient).
Exponents and Monomials
Simplify: (3xy4)(-2x2y2) x3y6 xy2 -6x3y6
Combine Like Terms Notes Page 23
Warm Up Simplify      20  2 3.
5.3 Multiplying Monomials
Unit 2: Adding Similar (like) Terms
Warm Up Simplify: 5(b+4) 2)-3(2x+5) 3)4(-8-3q) 4)- 6(2b-7)
Presentation transcript:

Holds a place for a number! Any letter can be used! b – 2 m Variables 2 x² + 6 xy – 7

Terms Part of an expression that is added! Term b – 2 m 2 x² + 6 xy – 7 Term Term Term Term Term Term Made up of numbers and variables that are multiplied or divided

Coefficient b – 2 m 2 x² + 6 xy – 7 The number that is multiplied to a variable! Coefficient 1 Coefficient (1) 2 (-2) Coefficients 26 (2, and 6)

Constant b – 2 m 2 x² + 6 xy – 7 A term that has no variable! Constant 6 (6) Constant 3 (3) Constant 7 (-7)

3a + 2w + 2a Terms that have identical variables! (including exponents) Like Terms apples watermelon 3a3a 2w2w +2a 5a + 2w

Like terms 7b + 2b 2m – 3n + 4n – mn 2 x² + 6 x – 7 Terms that have identical variables! (including exponents) Like Terms Like terms Like terms None!

Name the like terms, coefficients, and constants! 1. 7x + y – 2x – a c + 2c – c + 5cd

Simplify! y – x – 9y + 7x + 20y 6. -7p – p – (5n – 7) + 4(2n)

Regular: Pg – 6, 11 – 18, 32 Advance: Pg – 6, 21 – 32, 41