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C OMBINING L IKE T ERMS Section 1.4
L IKE T ERMS U NLIKE T ERMS
L IKE T ERMS
H ANDS -O N E QUATIONS Blue Pawn: Positive x White Pawn: Negative x Green Cube: Positive numbers Red Cube: Negative numbers
R EPRESENT 3x+5+2x+2
R EPRESENT 2x+3+5x-6
R EPRESENT -3x+1-2x-6
R EPRESENT 4x-8-5x+2
S IMPLEST F ORM Contains no like terms and no parentheses.
C OMBINING L IKE T ERMS
C OEFFICIENT It is the numerical factor. The number being multiplied by the variable. To combine like terms we can simply combine the coefficients of the like terms.
S IMPLIFY :
H OMEWORK Worksheet
The Distributive Property Section 1.4. Distributive Property.
The Distributive Property & Combining Like Terms.
2-5 HW = Pg #16-60eoe, e. 2-5 HW Continued.
2-4 HW = Pg #4-48e, HW Continued 57.) C 58.) C.
The Distributive Property Section 1-7 Part 2. Goals Goal To use the Distributive Property to simplify expressions. Rubric Level 1 – Know the goals. Level.
C OMBINING L IKE T ERMS. + =+ How did you know to group the apples together and the oranges together? + = 35 Step 1: Collect Like Terms Step 2: Simplify.
Hands-on Equations An Introduction to Algebra. The Pieces The following pieces we will be using for the first few lessons: Blue Pawns –> x Red Cubes ->
1.–15 + (–19) + 16 = ANSWER –18 2.6(–x)(–4) = ANSWER 24x Warm-Up for Lesson 2.6 ? ?
Collecting Like Terms Lesson 2. Terms Literal Coefficients – are variables (letters) that represent unknown numbers. Literal Coefficients – are variables.
You can use algebra tiles to model algebraic expressions tile This 1-by-1 square tile has an area of 1 square unit. x -tile x 1 This 1-by- x square.
Ch 2.6 Objective: To use the distributive property to simplify variable expressions.
Essential Question: Describe an everyday situation in which the distributive property and mental math would be helpful.
WARMUPS 1.3XY + 4XY – 6X + 8X (2XY)(4XY) + (4XY)(7XY) 3. 6X – 5X + 3X + 9Y – 3Y 4.(3X)(3X)(3X)(3X) 5.DRAW A FROG.
1 Section 1.8 Multiplication of Algebraic Expressions.
L ESSON 1-7 T HE D ISTRIBUTIVE P ROPERTY. The distributive property is a way we can multiply (or divide) when the terms inside of the parentheses are.
Inverse Operations ExpressionInverse Operation How do you get the variable by itself? x + 5 x x x ÷ 20 x3x3.
The Distributive Property states that multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the.
Math , 1.8 Distributive Property and Simplifying Expressions 1.
Factoring – Greatest Common Factor When factoring out the greatest common factor (GCF), determine the common factor by looking at the following: 1.Numerical.
REFLECT. 1a. Write the expression 3n – 4n – 8 as a sum. How does this help you identify the terms of the expression? Identify the terms. 3m + (-4n) +
BELL WORK Solve the following equations for x. 5x = 45 4x + 5 = 13 x = 9 x = 2.
MTH 091 Sections 3.1 and 9.2 Simplifying Algebraic Expressions.
MULTIPLYING INTEGERS LESSON 2-4, P. 83. RULES When multiplying integers with like (the same) signs, the product (answer) will be positive. EX.) negative.
Clear the parentheses using distribution Combine variable terms To keep from having to multiply or divide by a negative number, make sure the.
Warm-Up The variables x and y vary inversely. Use the given values to write an equation relating x and y. Then find y when x=2: 1.x = 4, y = 3 2.x = 8,
Simplifying Algebraic Expressions Distribution and Like Terms Section 5.5.
Logarithmic Functions Logarithms Logarithmic Equations Logarithmic Functions Properties of Logarithms.
T HE 9 L AWS OF E XPONENTS. L ET ’ S P LAY MATCH!!! Divide into two teams as directed by Ms. S Elect a team member to represent your team for each question.
Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Chapter 4 Polynomials.
Chapter 2 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 2-1 Solving Linear Equations and Inequalities.
Distributive Property and combining like terms.. Use the Distributive Property to simplify each expression. 1. 8(m + 5) = (3x + 9) = –2(4.
Simplifying Expressions and Combining Like Terms.
© 2010 Pearson Prentice Hall. All rights reserved Removing Common Factors; Factoring by Grouping.
Table of Contents Factoring – Greatest Common Factor When factoring out the greatest common factor (GCF), determine the common factor by looking at the.
Chapter 5: Polynomials Section 5-1: Monomial Operations 1. Monomial: a number, variable, or product of one or more numbers and variables. Examples: -5,
Properties of Numbers A property is something that is true for all situations.
5.3 Notes – Add, Subtract, & Multiply Polynomials.
Copyright © 2013 Pearson Education, Inc. Section 5.2 Addition and Subtraction of Polynomials.
Adding and Subtracting Polynomials Section 0.3. Polynomial A polynomial in x is an algebraic expression of the form: The degree of the polynomial is n.
It is the numerical factor that contains a variable. In other words, it is a number in a math sentence that has a letter right by it.
Chapter 8.5. C OMBINING L IKE T ERMS Lesson Objective: NCSCOS 1.01 – Write the equivalent forms of algebraic expressions to solve problems Students.
Section I: Distributive Property Section II: Order of Operations.
Distribution and like terms A look at the algebra behind algebra tiles….
Combining Like Terms Terms Are separated by a sign (- or +)
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Chapter 5.1 Notes Simplifying Polynomials Multiplying Polynomials Degree of a Polynomial Algebra 2.
Is the number being multiplied to a variable. Can be a whole number, integer, or fraction! What is the coefficient of: X4x 2 7.
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