Combining Like Terms and Combining Like Terms With Parentheses.

Slides:



Advertisements
Similar presentations
Solving Multi-Step Equations with Like Terms and Parentheses.
Advertisements

Distributive Property
Algebra 1 Glencoe McGraw-Hill JoAnn Evans
Chapter 6 Polynomials.
EXPONENTS ORDER OF OPERATIONS MULTIPLYING / DIVIDING POWER OF A POWER POWER OF A PRODUCT POWER OF A QUOTIENT NEGATIVE EXPONENTS.
ADDING, SUBTRACTING, MULTIPLYING, AND DIVIDING POSITIVE AND NEGATIVE NUMBERS BY: WILL, CODYR., AND AYLA.
Rules of Integers. Positive numbers are numbers that are above zero. Negative numbers are numbers below zero.
Distributive Property O To distribute and get rid of the parenthesis, simply multiply the number on the outside by the terms on the inside of the parenthesis.
Copyright©amberpasillas2010. Simplify two different ways. == = =
Chapter 8 Review Laws of Exponents. LAW #1 Product law: add the exponents together when multiplying the powers with the same base. Ex: NOTE: This operation.
A dding two negative integers: add the absolute values the answer is negative Adding a negative and a positive number: subtract the absolute values the.
 What are the different properties that can help simplify expressions?  Commutative Property  Commutative  Associative  Distributive These only work.
Review Laws of Exponents
Integer Operations. 1) What’s the rule for adding integers? *If both addends are Positive: - Add together and the sum is positive (Ex = 12) *If.
 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.
Simplifying Algebraic Expressions Distribution and Like Terms Section 5.5.
Copyright©amberpasillas2010 An exponent tells how many times a number is multiplied by itself. 8 3 Base Exponent #1 Factored Form 3 3 a a a Exponential.
Drill #17 Simplify each expression.. Drill #18 Simplify each expression.
Polynomials. Multiplying Monomials  Monomial-a number, a variable, or the product of a number and one or more variables.(Cannot have negative exponent)
Chapter 2 Section 5 Multiplying Integers. Multiplying Two Integers with Different Signs Words: The product of two integers with different signs. Numbers:
Integers All whole numbers and their opposites including the number 0.
Notes and Practice Adding and Subtracting Integers.
POLYNOMIALS – Monomial Times a Polynomial When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called.
Day Problems Simplify each expression – – (-8.4) 3. Evaluate each expression for a = -2, b = 3.5, and c = a – b + c5. |c + a + 5|
Lesson 3: More with Combining Like Terms
Integer Exponents Rules for Exponents Unit 1, Lesson 5.
2.3 Adding Integers 1 Medina.  Negative number – a less than zero  Positive number – a greater than zero. 2Medina.
Adding & Subtracting Polynomials MATH 018 Combined Algebra S. Rook.
Review Adding Integers: (-5) = = (-7) = =
By Kendal Agbanlog 6.1-Measurement Formulas and Monomials 6.2-Multiplying and Dividing Monomials 6.3-Adding and Subtracting Polynomials 6.4-Multiplying.
Solving Multi-step Equations by Combining Like Terms and with Variables on Both Sides.
Solving Multi-step Equations by Combining Like Terms and with Variables on Both Sides.
Multiplying and Dividing Signed Integers
Objective - To multiply integers. Signs are the same Signs are different Simplify. 1) 2) 3) 4) 5) 6)
MULTIPLYING INTEGERS LESSON 2-4, P. 83. RULES When multiplying integers with like (the same) signs, the product (answer) will be positive. EX.) negative.
Adding and Subtracting Expressions
Adding, Subtracting, Multiplying, and Diving Integers!!!
September 13, 2012 Working with Integers Warm-up: 1. Identify the property for: 3(1) = 3 2. Simplify: 6 + 3(9 – 1) + 2  Translate into an algebraic.
Adding & Subtracting Rational Numbers. Decimals Align The Decimal Points Now follow your adding rules: Same sign, ADD.
Rules to Remember When solving an equation, the goal is to get the variable by itself. Addition and Subtraction are inverse operations. (opposites) Multiplication.
Combining Like Terms and the Distributive Property.
Warm Up Introduction to Polynomials and Adding and Subtracting Polynomials.
Multiplying Monomials. Monomial – Any number, or variable, or product /quotient of numbers and variables. Ex: 6x 6x - x 2 y 2 - y 2 z 3 ½xy In an expression,
Combining Terms Review on Distributive Property a (b + c) = ab +bc (b + c) a = ba + ca.
INTEGER RULES. Adding Integers Adding IntegersRule # 1: Same Signs When adding integers with same signs, you add the numbers and write the common sign.
Integer Review If you are combining two numbers with: SAME SIGNS YOU ADDTAKE THE SIGN OF THE LARGER NUMBER DIFFERENT SIGNS YOU SUBTRACT TAKE THE SIGN.
Name ____________________________________________ Date _______________ Per_____ Polynomials Review Adding Ex: 1. Simplify 2. Find the perimeter Subtracting.
Chapter 6 Lesson 2 Operations with Polynomials Vocabulary  Degree of a Polynomial- The greatest degree of any term in the polynomial.
MTH 091 Sections 3.1 and 9.2 Simplifying Algebraic Expressions.
Subtracting Integers Objective: Learn to subtract integers.
Unit 5 Seminar Agenda Exponents Scientific Notation Polynomials and Polynomial Functions Multiplying Polynomials.
Subtracting Integers Ch. 11-2D.
Operations with Integers
Adding, Subtracting, and Multiplying Radical Expressions
Bell Ringer x + 7 = x = - 28 x – 11 = 12 4.
Adding and Subtracting Linear Expressions
Introduction to Algebra
Combining Like Terms and Combining Like Terms With Parentheses
Adding, Subtracting, and Multiplying Radical Expressions
Simplifying Algebraic Expressions
Solve Multi-step Equations
Identifying & Applying Them
Section 1.6 Using Properties in Computation
Combining Like terms.
Working with parentheses
The Distributive Property
A monomial is a 1. number, 2. variable, or
Solve Multi-step Equations
Multiplying Monomials
Adding, Subtracting, and Multiplying Radical Expressions
Presentation transcript:

Combining Like Terms and Combining Like Terms With Parentheses

What are terms and like terms? A term is a number, a variable, or a product or quotient of numbers and variables. Ex. 5x 2, x, 3, 7x, xy / 4 LIKE TERMS are terms that contain the same variables, with the same powers. Ex. -3x and -5x, 7xy and -2xy, 8ax 2 and 11ax 2.

Simplify by combining like terms. Continue to follow your integer rules!! 1) When adding or subtracting, KEEP the same variables. 2) Don’t forget to FIX your double signs first.

3) You can start by Regrouping like Terms together. Notice that the sign in front of the number moves with the number. You DO NOT have to write a ONE in front of a variable. It is understood to be there. 4) What number is in front of the variables with NO numbers? Ex. 3 and 4

5) Ex. 5 Don’t forget to FIX your double signs first. 6)

Combining like terms with parentheses 7) Before you can combine like terms, you must FIRST get rid of the ( ). DISTRIBUTE!!! WATCH OUT!! You multiplied by a negative number. 8)