Algebraic Expressions & Models L1.2. Welcome Back! Get your stuff out and be ready to go when the bell rings!

Size: px
Start display at page:

Download "Algebraic Expressions & Models L1.2. Welcome Back! Get your stuff out and be ready to go when the bell rings!"

Transcription

1 Welcome Back! Get your stuff out and be ready to go when the bell rings! 1

2 2

3 Variable: 3

4 Variable: Letter that represents one or more numbers 4

5 Variable: Letter that represents one or more numbers Expression: 5

6 Variable: Letter that represents one or more numbers Expression: Basic math sentence w/out equal sign 6

7 Variable: Letter that represents one or more numbers Expression: Basic math sentence w/out equal sign Collection of #'s, variables, operators, grouping symbols 7

8 Variable: Letter that represents one or more numbers Expression: Basic math sentence w/out equal sign Collection of #'s, variables, operators, grouping symbols Simplify an expression: 8

9 Variable: Letter that represents one or more numbers Expression: Basic math sentence w/out equal sign Collection of #'s, variables, operators, grouping symbols Simplify an expression: Boil it down to simplest form... reduce 9

10 Variable: Letter that represents one or more numbers Expression: Basic math sentence w/out equal sign Collection of #'s, variables, operators, grouping symbols Simplify an expression: Boil it down to simplest form... reduce Not solving! There is no equal sign! 10

11 Variable: Letter that represents one or more numbers Expression: Basic math sentence w/out equal sign Collection of #'s, variables, operators, grouping symbols Simplify an expression: Boil it down to simplest form... reduce Not solving! There is no equal sign! Evaluate an expression: 11

12 Variable: Letter that represents one or more numbers Expression: Basic math sentence w/out equal sign Collection of #'s, variables, operators, grouping symbols Simplify an expression: Boil it down to simplest form... reduce Not solving! There is no equal sign! Evaluate an expression: Plug #'s into the express, see what you get 12

13 Variable: Letter that represents one or more numbers Expression: Basic math sentence w/out equal sign Collection of #'s, variables, operators, grouping symbols Simplify an expression: Boil it down to simplest form... reduce Not solving! There is no equal sign! Evaluate an expression: Plug #'s into the express, see what you get 13

14 What is a term? 14

15 What is a term? Something being added or subtracted 15

16 What is a term? Something being added or subtracted Identify the terms: 16

17 What is a term? Something being added or subtracted Identify the terms: a + b 3x 2 4x

18 What is a factor? 18

19 What is a factor? Something being multiplied 19

20 What is a factor? Something being multiplied Identify the factors: 20

21 What is a factor? Something being multiplied Identify the factors: 3x (x 4)(x + 2) 2( ) 21

22 Exponent: Short hand for repeated multiplication (factors) Works only on the thing immediately to the left of it. 22

23 23

24 PEMDAS 24

25 PEMDAS Please 25

26 PEMDAS Please Excuse 26

27 PEMDAS Please Excuse My 27

28 PEMDAS Please Excuse My Dear 28

29 PEMDAS Please Excuse My Dear Aunt 29

30 PEMDAS Please Excuse My Dear Aunt Sally 30

31 PEMDAS Please Excuse My Dear Aunt Sally 31

32 PEMDAS P E M D A S Please Excuse My Dear Aunt Sally 32

33 PEMDAS P E M D A S Please Excuse My Dear Aunt Sally 33

34 PEMDAS Parenthesis E M D A S Please Excuse My Dear Aunt Sally 34

35 PEMDAS Parenthesis Exponents M D A S Please Excuse My Dear Aunt Sally 35

36 PEMDAS Parenthesis Exponents Multiply D A S Please Excuse My Dear Aunt Sally 36

37 PEMDAS Parenthesis Exponents Multiply Divide A S Please Excuse My Dear Aunt Sally 37

38 PEMDAS Please Excuse My Dear Aunt Sally Parenthesis Exponents Multiply } do * & at same time, left to right Divide A S 38

39 PEMDAS Please Excuse My Dear Aunt Sally Parenthesis Exponents Multiply } do * & at same time, left to right Divide Add S 39

40 PEMDAS Please Excuse My Dear Aunt Sally Parenthesis Exponents Multiply } do * & at same time, left to right Divide Add Subtract 40

41 PEMDAS Parenthesis Exponents } Please Excuse My Dear Aunt Sally Multiply do * & at same time, left to right Divide Add } do + & at same time, left to right Subtract 41

42 Simplify: 2( ) 42

43 Simplify: (25a 3) 8 43

44 Evaluate the following when x = 2: (3x + 7) 3 44

45 Evaluate the following when x = 2: (3x)

46 Evaluate the following when x = 2: 3x

47 47

48 Pg 12, #1 6, 7 19 odd, 23 47, 49 53, 61, 63 Pg 17, #

The Order of Operations. Unit 1 Lesson 3

The Order of Operations. Unit 1 Lesson 3 Unit 1 Lesson 3 Students will be able to: Perform arithmetic operations, including those involving whole-number exponents, in the conventional order. Key Vocabulary: Parentheses, exponents, multiplication,

More information

Summer Assignment Glossary

Summer Assignment Glossary Algebra 1.1 Summer Assignment Name: Date: Hour: Directions: Show all work for full credit using a pencil. Circle your final answer. This assignment is due the first day of school. Use the summer assignment

More information

1-6 Order of Operations

1-6 Order of Operations 1-6 Order of Operations Warm Up Lesson Presentation Lesson Quiz 2 pts 3 pts Bell Quiz 1-6 Find each square root. 1. 25 Write all classifications that apply to each real number. 3. -55 5 pts possible Questions

More information

ARITHMETIC EXPRESSION

ARITHMETIC EXPRESSION Section 1: Expression & Terms MATH LEVEL 2 LESSON PLAN 1 ARITHMETIC EXPRESSION 2017 Copyright Vinay Agarwala, Revised: 10/31/17 1. An arithmetic expression is made up of numbers joined by addition (+),

More information

Welcome to 5 th Grade Math Review Properties of Operations

Welcome to 5 th Grade Math Review Properties of Operations Welcome to 5 th Grade Math Review Properties of Operations What do you notice in this chart? Are there any patterns? Powers of Ten Strategy Time Interactive Math Journal Today s Lesson: Review of Properties

More information

CCBC Math 081 Order of Operations Section 1.7. Step 2: Exponents and Roots Simplify any numbers being raised to a power and any numbers under the

CCBC Math 081 Order of Operations Section 1.7. Step 2: Exponents and Roots Simplify any numbers being raised to a power and any numbers under the CCBC Math 081 Order of Operations 1.7 1.7 Order of Operations Now you know how to perform all the operations addition, subtraction, multiplication, division, exponents, and roots. But what if we have a

More information

7th Grade Math Unit 1 Algebraic Reasoning

7th Grade Math Unit 1 Algebraic Reasoning 7th Grade Math Unit 1 Algebraic Reasoning Name: Period: Common Core State Standards CC.7.NS.1 - Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers;

More information

Watkins Mill High School. Algebra 2. Math Challenge

Watkins Mill High School. Algebra 2. Math Challenge Watkins Mill High School Algebra 2 Math Challenge "This packet will help you prepare for Algebra 2 next fall. It will be collected the first week of school. It will count as a grade in the first marking

More information

George Hartas, MS. Educational Assistant for Mathematics Remediation. MAT 025 Instructor. Table of Contents

George Hartas, MS. Educational Assistant for Mathematics Remediation. MAT 025 Instructor. Table of Contents Last Updated: 6/14/18 SIGNED NUMBERS WORKBOOK By George Hartas, MS Educational Assistant for Mathematics Remediation MAT 025 Instructor Table of Contents Page Introduction 2 Anatomy of a Signed Number

More information

Is the statement sufficient? If both x and y are odd, is xy odd? 1) xy 2 < 0. Odds & Evens. Positives & Negatives. Answer: Yes, xy is odd

Is the statement sufficient? If both x and y are odd, is xy odd? 1) xy 2 < 0. Odds & Evens. Positives & Negatives. Answer: Yes, xy is odd Is the statement sufficient? If both x and y are odd, is xy odd? Is x < 0? 1) xy 2 < 0 Positives & Negatives Answer: Yes, xy is odd Odd numbers can be represented as 2m + 1 or 2n + 1, where m and n are

More information

Mini-Lesson 1. Section 1.1: Order of Operations PEMDAS

Mini-Lesson 1. Section 1.1: Order of Operations PEMDAS Name: Date: 1 Section 1.1: Order of Operations PEMDAS If we are working with a mathematical expression that contains more than one operation, then we need to understand how to simplify. The acronym PEMDAS

More information

Lesson 1: Arithmetic Review

Lesson 1: Arithmetic Review Lesson 1: Arithmetic Review Topics and Objectives: Order of Operations Fractions o Improper fractions and mixed numbers o Equivalent fractions o Fractions in simplest form o One and zero Operations on

More information

Solving for the Unknown: Basic Operations & Trigonometry ID1050 Quantitative & Qualitative Reasoning

Solving for the Unknown: Basic Operations & Trigonometry ID1050 Quantitative & Qualitative Reasoning Solving for the Unknown: Basic Operations & Trigonometry ID1050 Quantitative & Qualitative Reasoning What is Algebra? An expression is a combination of numbers and operations that leads to a numerical

More information

Pre-Algebra Notes Unit One: Variables, Expressions, and Integers

Pre-Algebra Notes Unit One: Variables, Expressions, and Integers Pre-Algebra Notes Unit One: Variables, Expressions, and Integers Evaluating Algebraic Expressions Syllabus Objective: (.) The student will evaluate variable and numerical expressions using the order of

More information

Iron County Schools. Yes! Less than 90 No! 90 No! More than 90. angle: an angle is made where two straight lines cross or meet each other at a point.

Iron County Schools. Yes! Less than 90 No! 90 No! More than 90. angle: an angle is made where two straight lines cross or meet each other at a point. Iron County Schools 1 acute angle: any angle that is less than 90. Yes! Less than 90 No! 90 No! More than 90 acute triangle: a triangle where all the angles are less than 90 angle: an angle is made where

More information

1.8 Intro to Variables, Algebraic Expressions, and Equations

1.8 Intro to Variables, Algebraic Expressions, and Equations 1.8 Intro to Variables, Algebraic Expressions, and Equations Professor Tim Busken M.S. Applied Mathematics with a Concentration in Dynamical Systems San Diego State University 2011 Southwestern College

More information

Change. Start. Result

Change. Start. Result Change Start Result Part Part Whole Thirteen Rules that Expire 1. When you multiply a number by 10 just add a zero to the end of the number. 2. Use keywords to solve word problems. 3. You can t take a

More information

Geometry Summer Packet

Geometry Summer Packet Geometry Summer Packet Name ALLEN PARK HIGH SCHOOL Summer Assessment Geometry Summer Packet For Students Entering Geometry Summer 04 This summer packet is intended to be completed by the FIRST DAY of school.

More information

Unit 1 Calendar. 9/15 Review 1.1, 1.2, 1.3, 1.4, 1.6, 1.7 9/17 Unit 1 Test

Unit 1 Calendar. 9/15 Review 1.1, 1.2, 1.3, 1.4, 1.6, 1.7 9/17 Unit 1 Test Unit 1 Calendar Day Date Topic Day 1 August 31 st 8/31 Day 2 September 2 nd Day 3 September 4 th Day 4 September 9 th Day 5 September 11 th 9/2 9/4 9/9 9/11 WELCOME! Introductions Social Media Statistics

More information

We use the mnemonic P.E.M.D.A.S to help us remember the order of operations.

We use the mnemonic P.E.M.D.A.S to help us remember the order of operations. Section 1 4: The Order of Operations There is an agreed upon order in which the operations of exponents, multiplication, division, addition and subtraction are performed if there are several different

More information

Lesson 1: Arithmetic Review

Lesson 1: Arithmetic Review In this lesson we step back and review several key arithmetic topics that are extremely relevant to this course. Before we work with algebraic expressions and equations, it is important to have a good

More information

Parentheses ( ) Math Review. The Order of Operations tells us how to do a math problem with more than one operation, in the correct order.

Parentheses ( ) Math Review. The Order of Operations tells us how to do a math problem with more than one operation, in the correct order. Problem Solving in Chemistry Math Review We are faced with problems each day, and not just in chemistry A solution (answer) needs to be found Trial and Error may work sometimes but, there is a method to

More information

Functions and Inverses ID1050 Quantitative & Qualitative Reasoning

Functions and Inverses ID1050 Quantitative & Qualitative Reasoning Functions and Inverses ID1050 Quantitative & Qualitative Reasoning Function and Inverse Function Gun Analogy Functions take a number, perform an operation on it, and return another number. The inverse

More information

Due Date: Friday, September 9 th Attached is your summer review packet for the Algebra 1 course.

Due Date: Friday, September 9 th Attached is your summer review packet for the Algebra 1 course. Due Date: Friday, September 9 th Attached is your summer review packet for the Algebra 1 course. This is your first Graded HW grade. You MUST SHOW WORK in order to receive credit. This means if you typed

More information

NUMBER SENSE AND OPERATIONS. Competency 0001 Understand the structure of numeration systems and multiple representations of numbers.

NUMBER SENSE AND OPERATIONS. Competency 0001 Understand the structure of numeration systems and multiple representations of numbers. SUBAREA I. NUMBER SENSE AND OPERATIONS Competency 0001 Understand the structure of numeration systems and multiple representations of numbers. Prime numbers are numbers that can only be factored into 1

More information

Please Excuse My Dear Aunt Sally

Please Excuse My Dear Aunt Sally Instructional strategies - math Math Hierarchy - Order of Operations PEMDAS P E M/D A/S Parenthesis first Exponents, square roots Multiplication and Division (left to right) Addition and Subtraction (left

More information

Chapter 0, Pre-Algebra from Beginning and Intermediate Algebra by Tyler Wallace is available under a Creative Commons Attribution 3.

Chapter 0, Pre-Algebra from Beginning and Intermediate Algebra by Tyler Wallace is available under a Creative Commons Attribution 3. Chapter 0, Pre-Algebra from Beginning and Intermediate Algebra by Tyler Wallace is available under a Creative Commons Attribution 3.0 Unported license. 2010. 0.1 Pre-Algebra - Integers Objective: Add,

More information

Converting Between Mixed Numbers & Improper Fractions

Converting Between Mixed Numbers & Improper Fractions 01 Converting Between Mixed Numbers & Improper Fractions A mixed number is a whole number and a fraction: 4 1 2 An improper fraction is a fraction with a larger numerator than denominator: 9 2 You can

More information

Beginning and Intermediate Algebra Chapter 0: Arithmetic

Beginning and Intermediate Algebra Chapter 0: Arithmetic Beginning and Intermediate Algebra Chapter 0: Arithmetic An open source (CC-BY) textbook by Tyler Wallace 1 ? Beginning and Intermediate Algebra by Tyler Wallace is licensed under a Creative Commons Attribution

More information

Doing Math: Scientific Notation Scientific notation is a way to show (and do math with) very small or very large numbers b 10 c

Doing Math: Scientific Notation Scientific notation is a way to show (and do math with) very small or very large numbers b 10 c Doing Math: Scientific Notation Scientific notation is a way to show (and do math with) very small or very large numbers b 10 c b = a decimal number between 1.0 and 9.99... c =anexponentof10 Example: 1.53

More information

Math 6 Notes Unit One: Whole Numbers and Patterns

Math 6 Notes Unit One: Whole Numbers and Patterns Math 6 Notes Unit One: Whole Numbers and Patterns Whole Numbers The following is the set of numbers on the number line called whole numbers: {0, 1,, 3, 4, } All numbers in base 10 are made up of 10 digits:

More information

Chapter 1 Operations With Numbers

Chapter 1 Operations With Numbers Chapter 1 Operations With Numbers Part I Negative Numbers You may already know what negative numbers are, but even if you don t, then you have probably seen them several times over the past few days. If

More information

Lecture Set 4: More About Methods and More About Operators

Lecture Set 4: More About Methods and More About Operators Lecture Set 4: More About Methods and More About Operators Methods Definitions Invocations More arithmetic operators Operator Side effects Operator Precedence Short-circuiting main method public static

More information

1 Basic Mathematical Operations

1 Basic Mathematical Operations 1 Basic Mathematical Operations Recall the basic operations of addition, substraction, multiplication, and division. Consider evaluating the following expression: 2+3 5 Do we add 2 and 3 first or do we

More information

Hundred-thousands. Millions. Ten-thousands

Hundred-thousands. Millions. Ten-thousands Place Value, Names for Numbers, and Reading Tables The digits used to write numbers are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Unit 1 Lesson 1a Natural numbers are positive numbers only {1, 2, 3, 4, 5, 6, 7,

More information

Introduction to Excel Excel Chapter 1 Robert Tureman

Introduction to Excel Excel Chapter 1 Robert Tureman Introduction to Excel Excel Chapter 1 Robert Tureman Enter and Edit Data in a Cell Three types of data labels, numbers and formulas Entries are placed into the active cell Entries can be edited in the

More information

CIV Module Unit Session Learning Objectives

CIV Module Unit Session Learning Objectives CIV Module Unit Session Learning Objectives C IV Module: Essentials of Recognizing a Fraction 1. Learning that a fraction is a part of a whole through the use of area models C IV Module: Essentials of

More information

TI-84+ GC 3: Order of Operations, Additional Parentheses, Roots and Absolute Value

TI-84+ GC 3: Order of Operations, Additional Parentheses, Roots and Absolute Value Rev 6--11 Name Date TI-84+ GC : Order of Operations, Additional Parentheses, Roots and Absolute Value Objectives: Review the order of operations Observe that the GC uses the order of operations Use parentheses

More information

Estimate A number that is close to an exact answer. An approximate answer.

Estimate A number that is close to an exact answer. An approximate answer. Estimate A number that is close to an exact answer. An approximate answer. Inverse Operations Operations used to undo each other + - X Product The result of multiplying two factors together. 3 x 4=12 Factor

More information

Lecture Set 4: More About Methods and More About Operators

Lecture Set 4: More About Methods and More About Operators Lecture Set 4: More About Methods and More About Operators Methods Definitions Invocations More arithmetic operators Operator Side effects Operator Precedence Short-circuiting main method public static

More information

The Absolute Value Symbol

The Absolute Value Symbol Section 1 3: Absolute Value and Powers The Absolute Value Symbol The symbol for absolute value is a pair of vertical lines. These absolute value brackets act like the parenthesis that we use in order of

More information

WHAT IS MATLAB?... 1 STARTING MATLAB & USING THE COMMAND LINE... 1 BASIC ARITHMETIC OPERATIONS... 5 ORDER OF OPERATIONS... 7

WHAT IS MATLAB?... 1 STARTING MATLAB & USING THE COMMAND LINE... 1 BASIC ARITHMETIC OPERATIONS... 5 ORDER OF OPERATIONS... 7 Contents WHAT IS MATLAB?... 1 STARTING MATLAB & USING THE COMMAND LINE... 1 BASIC ARITHMETIC OPERATIONS... 5 ORDER OF OPERATIONS... 7 WHAT IS MATLAB? MATLAB stands for MATrix LABoratory. It is designed

More information

MAT 090 Brian Killough s Instructor Notes Strayer University

MAT 090 Brian Killough s Instructor Notes Strayer University MAT 090 Brian Killough s Instructor Notes Strayer University Success in online courses requires self-motivation and discipline. It is anticipated that students will read the textbook and complete sample

More information

Math 171 Proficiency Packet on Integers

Math 171 Proficiency Packet on Integers Math 171 Proficiency Packet on Integers Section 1: Integers For many of man's purposes the set of whole numbers W = { 0, 1, 2, } is inadequate. It became necessary to invent negative numbers and extend

More information

Ex: If you use a program to record sales, you will want to remember data:

Ex: If you use a program to record sales, you will want to remember data: Data Variables Programs need to remember values. Ex: If you use a program to record sales, you will want to remember data: A loaf of bread was sold to Sione Latu on 14/02/19 for T$1.00. Customer Name:

More information

Basic and Intermediate Math Vocabulary Spring 2017 Semester

Basic and Intermediate Math Vocabulary Spring 2017 Semester Digit A symbol for a number (1-9) Whole Number A number without fractions or decimals. Place Value The value of a digit that depends on the position in the number. Even number A natural number that is

More information

adjacent angles Two angles in a plane which share a common vertex and a common side, but do not overlap. Angles 1 and 2 are adjacent angles.

adjacent angles Two angles in a plane which share a common vertex and a common side, but do not overlap. Angles 1 and 2 are adjacent angles. Angle 1 Angle 2 Angles 1 and 2 are adjacent angles. Two angles in a plane which share a common vertex and a common side, but do not overlap. adjacent angles 2 5 8 11 This arithmetic sequence has a constant

More information

MAT 003 Brian Killough s Instructor Notes Saint Leo University

MAT 003 Brian Killough s Instructor Notes Saint Leo University MAT 003 Brian Killough s Instructor Notes Saint Leo University Success in online courses requires self-motivation and discipline. It is anticipated that students will read the textbook and complete sample

More information

ALGEBRA I Summer Packet

ALGEBRA I Summer Packet ALGEBRA I Summer Packet 2018-2019 Name 7 th Grade Math Teacher: Objectives for Algebra I Summer Packet I. Variables and translating (Problems #1 5) Write Algebraic Expressions Writing Algebraic Equations

More information

Formulas in Microsoft Excel

Formulas in Microsoft Excel Formulas in Microsoft Excel Formulas are the main reason for wanting to learn to use Excel. This monograph is intended as a quick reference to the basic concepts underlying the use of formulas. It is prepared

More information

Only to be used for arranged hours. Order of Operations

Only to be used for arranged hours. Order of Operations Math 84 Activity # 1 Your name: Order of Operations Goals: 1) Evaluate Real numbers with Exponents. ) Use the Order of Operations to Evaluate Expressions. ) Review Exponents and Powers of Ten Integer exponents

More information

Lakeview Christian Academy Summer Math Packet For Students Entering Algebra 2

Lakeview Christian Academy Summer Math Packet For Students Entering Algebra 2 Lakeview Christian Academy Summer Math Packet For Students Entering Algebra Student s Name This packet is designed for you to review your Algebra 1 skills and make sure you are well prepared for the start

More information

Summer Review for Students Entering Algebra 1

Summer Review for Students Entering Algebra 1 1. Order of Operations 2. Evaluating Expressions 3. Unit Rates and Proportions 4. Solving Equations 5. Multiple Representations of Linear Equations 6. Scatterplots 7. Box Plots A TI 84-Plus Graphing Calculator

More information

COMPUTER TRAINING CENTER

COMPUTER TRAINING CENTER Excel 2007 Introduction to Spreadsheets COMPUTER TRAINING CENTER 1515 SW 10 th Avenue Topeka KS 66604-1374 785.580.4606 class@tscpl.org www.tscpl.org Excel 2007 Introduction 1 Office button Quick Access

More information

Introduction to Programming in Turing. Input, Output, and Variables

Introduction to Programming in Turing. Input, Output, and Variables Introduction to Programming in Turing Input, Output, and Variables The IPO Model The most basic model for a computer system is the Input-Processing-Output (IPO) Model. In order to interact with the computer

More information

Working with Algebraic Expressions

Working with Algebraic Expressions 2 Working with Algebraic Expressions This chapter contains 25 algebraic expressions; each can contain up to five variables. Remember that a variable is just a letter that represents a number in a mathematical

More information

Change any fractions to decimals using division, then stack all the

Change any fractions to decimals using division, then stack all the is SOL 5.1 The student, given a decimal through thousandths, will round to the nearest whole number, tenth, or hundredth Find the place being rounded to, then look at the next digit to the right. If that

More information

June 10, Dear Students and Parents,

June 10, Dear Students and Parents, June 10, 2015 Dear Students and Parents, Hello and welcome from the Beaumont Math Department! My name is Mr. Hass-Hill and will I teach all of Beaumont s College Prep Algebra I and Honors Algebra I courses

More information

Introduction to Computer Applications. CISY 1225 Chapter 11. Dr. Zahoor Khan

Introduction to Computer Applications. CISY 1225 Chapter 11. Dr. Zahoor Khan Introduction to Computer Applications CISY 1225 Chapter 11 Dr. Zahoor Khan Last updated: June 2014 Good Morning CISY1225 by Zahoor Khan, PhD 1 Projects and exercises All are due on June 16, 2014 Before

More information

March 28, Excel Essentials. Jim Snediker. Suzi Huisman

March 28, Excel Essentials. Jim Snediker. Suzi Huisman March 28, 2019 Excel Essentials Jim Snediker Suzi Huisman 1 What is a Spreadsheet? A spreadsheet is the computer equivalent of a paper ledger sheet. Worksheet new name for Spreadsheet Workbook one file

More information

Solution Guide for Chapter 12

Solution Guide for Chapter 12 Solution Guide for Chapter 1 Here are the solutions for the Doing the Math exercises in Kiss My Math! DTM from p. 170-1. Start with x. Add, then multiply by 4. So, starting with x, when we add, we ll get:

More information

SAMLab Tip Sheet #1 Translating Mathematical Formulas Into Excel s Language

SAMLab Tip Sheet #1 Translating Mathematical Formulas Into Excel s Language Translating Mathematical Formulas Into Excel s Language Introduction Microsoft Excel is a very powerful calculator; you can use it to compute a wide variety of mathematical expressions. Before exploring

More information

COSC 236 Section 101 Computer Science 1 -- Prof. Michael A. Soderstrand

COSC 236 Section 101 Computer Science 1 -- Prof. Michael A. Soderstrand COSC 236 Section 101 Computer Science 1 -- Prof. Michael A. Soderstrand COSC 236 Web Site I have decided to keep this site for the whole semester I still hope to have blackboard up and running, but you

More information

Objective Simplify expressions using the properties of exponents.

Objective Simplify expressions using the properties of exponents. Pre-Algebra: Exponent Properties Objective Simplify expressions using the properties of exponents. Exponents are used to simplify expressions. For example, a*a*a*a*a*a*a is the expanded expression of a

More information

Rev. B 12/16/2015 Downers Grove Public Library Page 1 of 40

Rev. B 12/16/2015 Downers Grove Public Library Page 1 of 40 Objectives... 3 Introduction... 3 Excel Ribbon Components... 3 File Tab... 4 Quick Access Toolbar... 5 Excel Worksheet Components... 8 Navigating Through a Worksheet... 9 Downloading Templates... 9 Using

More information

Think: 5 5 5, or 25. Think: Think: Evaluate Multiply. So, when s 2, the value of. 5(s 3) is 125. Then divide.

Think: 5 5 5, or 25. Think: Think: Evaluate Multiply. So, when s 2, the value of. 5(s 3) is 125. Then divide. 7 Multiply first. Think: 9 8 Then divide. Think: 8 Finally, subtract. Think: Replace a with 9. o, when a 9, the value of a is. 8 9 a ubtract.. Replace a with 5. The value of a is a a 5 b Add. is Divide.

More information

Section 3.1 Variables, Expressions and Order of Operations

Section 3.1 Variables, Expressions and Order of Operations Section.1 Variables, Expressions and Order of Operations A variable is a symbol, usually a letter of the alphabet that represents some varying or undetermined number. An algebraic expression is a mathematical

More information

Math 1 Variable Manipulation Part 2 Exponents & Roots

Math 1 Variable Manipulation Part 2 Exponents & Roots Math 1 Variable Manipulation Part 2 Exponents & Roots 1 PRE-ALGEBRA REVIEW: WORKING WITH EXPONENTS Exponents are shorthand for repeated multiplication of the same thing by itself. For instance, the shorthand

More information

Hi. I m a three. I m always a three. I never ever change. That s why I m a constant.

Hi. I m a three. I m always a three. I never ever change. That s why I m a constant. Lesson 1-1: 1 1: Evaluating Expressions Hi. I m a three. I m always a three. I never ever change. That s why I m a constant. 3 Real life changes, though. So to talk about real life, math needs things that

More information

Algebra Homework: Chapter 1 (Homework is listed by date assigned; homework is due the following class period) Day Date In-Class Homework

Algebra Homework: Chapter 1 (Homework is listed by date assigned; homework is due the following class period) Day Date In-Class Homework Algebra Homework: Chapter 1 (Homework is listed by date assigned; homework is due the following class period) Day Date In-Class Homework 1 T 8/30 Introductions Operations on Decimals Converting Decimals

More information

Lesson 3: Basic Programming Concepts

Lesson 3: Basic Programming Concepts 3 ICT Gaming Essentials Lesson 3: Basic Programming Concepts LESSON SKILLS After completing this lesson, you will be able to: Explain the types and uses of variables and operators in game programming.

More information

2.2 Order of Operations

2.2 Order of Operations 2.2 Order of Operations Learning Objectives Evaluate algebraic expressions with grouping symbols. Evaluate algebraic expressions with fraction bars. Evaluate algebraic expressions using a graphing calculator.

More information

Algebra II Chapter 6: Rational Exponents and Radical Functions

Algebra II Chapter 6: Rational Exponents and Radical Functions Algebra II Chapter 6: Rational Exponents and Radical Functions Chapter 6 Lesson 1 Evaluate nth Roots and Use Rational Exponents Vocabulary 1 Example 1: Find nth Roots Note: and Example 2: Evaluate Expressions

More information

Algebra (Linear Expressions & Equations)

Algebra (Linear Expressions & Equations) ACT Mathematics Fundamentals 1 with facts, examples, problems, and solutions Algebra (Linear Expressions & Equations) One might say that the two main goals of algebra are to 1) model real world situations

More information

Solve the matrix equation AX B for X by using A.(1-3) Use the Inverse Matrix Calculator Link to check your work

Solve the matrix equation AX B for X by using A.(1-3) Use the Inverse Matrix Calculator Link to check your work Name: Math 1324 Activity 9(4.6)(Due by Oct. 20) Dear Instructor or Tutor, These problems are designed to let my students show me what they have learned and what they are capable of doing on their own.

More information

2017 Summer Review for Students Entering Pre-Algebra 7 & Pre-Algebra 8

2017 Summer Review for Students Entering Pre-Algebra 7 & Pre-Algebra 8 1. Area and Perimeter of Polygons 2. Multiple Representations of Portions 3. Multiplying Fractions and Decimals 4. Order of Operations 5. Writing and Evaluating Algebraic Expressions 6. Simplifying Expressions

More information

Chapter 2 Using Data. Instructor s Manual Table of Contents. At a Glance. A Guide to this Instructor s Manual:

Chapter 2 Using Data. Instructor s Manual Table of Contents. At a Glance. A Guide to this Instructor s Manual: Java Programming, Eighth Edition 2-1 Chapter 2 Using Data A Guide to this Instructor s Manual: We have designed this Instructor s Manual to supplement and enhance your teaching experience through classroom

More information

6th Grade Math. Lindsay Law - Curriculum Facilitator (ext. 2085)

6th Grade Math. Lindsay Law - Curriculum Facilitator (ext. 2085) 6th Grade Math Purpose Students will become flexible thinkers and complex problem solvers by applying essential mathematical ideas and concepts through a rigorous, focused, and relevant curriculum. Philosophy

More information

Algebra 1 Review. Properties of Real Numbers. Algebraic Expressions

Algebra 1 Review. Properties of Real Numbers. Algebraic Expressions Algebra 1 Review Properties of Real Numbers Algebraic Expressions Real Numbers Natural Numbers: 1, 2, 3, 4,.. Numbers used for counting Whole Numbers: 0, 1, 2, 3, 4,.. Natural Numbers and 0 Integers:,

More information

Excel 2016: Basics 2 Math and Functions

Excel 2016: Basics 2 Math and Functions Excel 2016: Basics 2 Math and Functions training@health.ufl.edu Excel 2016: Basics 2 Math and Functions 2.0 hours In this workshop we will work with patterns of text, numbers and dates; build simple equations;

More information

2. If x = 3, then what is the. 1. If x = 4, then what is the value of x 2? We will evaluate 1 expressions by using the order of operations.

2. If x = 3, then what is the. 1. If x = 4, then what is the value of x 2? We will evaluate 1 expressions by using the order of operations. Learning Objective We will evaluate 1 expressions by using the order of operations. Name: February 18, 2014 Per: Common Core 7.AF1.2 Activate Prior Knowledge CFU Substitution means to replace a variable

More information

Activity 1 Creating a simple gradebook

Activity 1 Creating a simple gradebook Activity 1 Creating a simple gradebook 1 Launch Excel to start a new spreadsheet a. Click on the Excel icon to start a new workbook, either from the start menu, Office Toolbar, or an Excel icon on the

More information

ENGR 101 Engineering Design Workshop

ENGR 101 Engineering Design Workshop ENGR 101 Engineering Design Workshop Lecture 2: Variables, Statements/Expressions, if-else Edgardo Molina City College of New York Literals, Variables, Data Types, Statements and Expressions Python as

More information

Matlab = Matrix Laboratory. It is designed to be great at handling matrices.

Matlab = Matrix Laboratory. It is designed to be great at handling matrices. INTRODUCTION: Matlab = Matrix Laboratory. It is designed to be great at handling matrices. Matlab is a high-level language and interactive environment. You write simple ASCII text that is translated into

More information

Welcome to algebra boot

Welcome to algebra boot Chapter Welcome to algebra boot camp! Before you jump into algebra, you need to understand the basics. There are new terms, iron-clad rules and a few properties with which you should become familiar. Chapter

More information

SUMMER REVIEW PACKET 2 FOR STUDENTS ENTERING ALGEBRA 1

SUMMER REVIEW PACKET 2 FOR STUDENTS ENTERING ALGEBRA 1 SUMMER REVIEW PACKET FOR STUDENTS ENTERING ALGEBRA Dear Students, Welcome to Ma ayanot. We are very happy that you will be with us in the Fall. The Math department is looking forward to working with you

More information

1.1 evaluating expressions 2017 ink.notebook. August 18, page 7 page 8 Unit 1 Basic Equations and Inequalities. 1.1 Order of Operations.

1.1 evaluating expressions 2017 ink.notebook. August 18, page 7 page 8 Unit 1 Basic Equations and Inequalities. 1.1 Order of Operations. 1.1 evaluating expressions 2017 ink.notebook page 7 page 8 Unit 1 Basic Equations and Inequalities 1.1 Order of Operations page 9 page 10 Lesson Objectives Standards 1.1 Order of Operations Press the tabs

More information

1 5 Integer Operations

1 5 Integer Operations 1 5 Integer Operations Positive and Negative Integers A glance through any newspaper shows that many quantities are expressed using negative numbers. For example, negative numbers show below-zero temperatures.

More information

LESSON 2 VARIABLES, OPERATORS, EXPRESSIONS, AND USER INPUT

LESSON 2 VARIABLES, OPERATORS, EXPRESSIONS, AND USER INPUT LESSON VARIABLES, OPERATORS, EXPRESSIONS, AND USER INPUT PROF. JOHN P. BAUGH PROFJPBAUGH@GMAIL.COM PROFJPBAUGH.COM CONTENTS INTRODUCTION... Assumptions.... Variables and Data Types..... Numeric Data Types:

More information

Exponent Properties: The Product Rule. 2. Exponential expressions multiplied with each other that have the same base.

Exponent Properties: The Product Rule. 2. Exponential expressions multiplied with each other that have the same base. Exponent Properties: The Product Rule 1. What is the difference between 3x and x 3? Explain in complete sentences and with examples. 2. Exponential expressions multiplied with each other that have the

More information

Learn Ninja-Like Spreadsheet Skills with LESSON 9. Math, Step by Step

Learn Ninja-Like Spreadsheet Skills with LESSON 9. Math, Step by Step EXCELL MASTERY Learn Ninja-Like Spreadsheet Skills with LESSON 9 Doing Math, Step by Step It s Elementary, My Dear Ninja There is a scene in the short story The Crooked Man, where Sherlock Holmes accurately

More information

GUIDELINES FOR COMPLETING THE ASSIGNMENT

GUIDELINES FOR COMPLETING THE ASSIGNMENT RAHWAY HIGH SCHOOL MATHEMATICS DEPARTMENT Algebra 1 Summer Assignment packet Summer 2018 Due date: September 7th GUIDELINES FOR COMPLETING THE ASSIGNMENT This packet was created to help you succeed in

More information

Section Downloads. Before You Start. Truss Math Outline. Math Symbols. Truss Math Outline. Section 04: Truss Math.

Section Downloads. Before You Start. Truss Math Outline. Math Symbols. Truss Math Outline. Section 04: Truss Math. Section Downloads Download & Print TTT I Sec 04 Slides TTT I Sec 04 Handouts Course binders are available for purchase Not required Version.1 Section 04: Truss Math Before You Start Get a scientific calculator

More information

Pre Algebra 2. Student Goals. Curriculum Sample

Pre Algebra 2. Student Goals. Curriculum Sample Pre Algebra 2 Curriculum Sample A Grade Ahead s rigorous, year-round math enrichment program is designed to challenge your child to a higher academic standard. Our monthly curriculum includes mathematical

More information

Coefficient Constant Equivalent expressions Equation. 3 A mathematical sentence containing an equal sign

Coefficient Constant Equivalent expressions Equation. 3 A mathematical sentence containing an equal sign 8.4.0 Lesson Date Algebra Vocabulary and Generating Equivalent s Student Objectives I can identify how many terms an expression has and what the coefficients, constants, and like terms of that expression

More information

The Distributive Property and Expressions Understand how to use the Distributive Property to Clear Parenthesis

The Distributive Property and Expressions Understand how to use the Distributive Property to Clear Parenthesis Objective 1 The Distributive Property and Expressions Understand how to use the Distributive Property to Clear Parenthesis The Distributive Property The Distributive Property states that multiplication

More information

Definition MATH Benjamin V.C. Collins, James A. Swenson MATH 2730

Definition MATH Benjamin V.C. Collins, James A. Swenson MATH 2730 MATH 2730 Benjamin V.C. Collins James A. Swenson s and undefined terms The importance of definition s matter! may be more important in Discrete Math than in any math course that you have had previously.

More information

Exponents. Reteach. Write each expression in exponential form (0.4)

Exponents. Reteach. Write each expression in exponential form (0.4) 9-1 Exponents You can write a number in exponential form to show repeated multiplication. A number written in exponential form has a base and an exponent. The exponent tells you how many times a number,

More information

The simplest way to evaluate the expression is simply to start at the left and work your way across, keeping track of the total as you go:

The simplest way to evaluate the expression is simply to start at the left and work your way across, keeping track of the total as you go: ck 12 Chapter 1 Order of Operations Learning Objectives Evaluate algebraic expressions with grouping symbols. Evaluate algebraic expressions with fraction bars. Evaluate algebraic expressions with a graphing

More information

Work Sheet for Certification Exam IC 3 GS4 Module 2 Key Applications Lesson 9: Excel

Work Sheet for Certification Exam IC 3 GS4 Module 2 Key Applications Lesson 9: Excel Work Sheet for Certification Exam IC 3 GS4 Module 2 Key Applications Lesson 9: Excel How to use this document. Follow the icons carefully Question you must answer. Action you must perform. Something you

More information