Preparation for College MATHEMATICS - Hawkes Learning

1 D. Franklin WrightPreparation for CollegeMATHEMATICSSECOND EDITIONI nstructor 110/11/2017 9:57:45 AMEditor: Nina WaldronProject Manager: Patrick Vande BosscheAssistant Editors: Chelsey Cooke, S. Rebecca Johnson, Barbara MillerDesigners: D. Kanthi, E. Jeevan Kumar, U. Nagesh, James Smalls, Patrick Thompson, Tee Jay ZajacCover Design: Patrick Thompson and Tee Jay ZajacVP Research & Development: Marcel PrevuznakDirector of Content: Kara Roch A division of Quant Systems, Long Point Road, Mount Pleasant, SC 29464 Copyright 2017 by Hawkes Learning / Quant Systems, Inc. All rights reserved.

2 No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior written consent of the in the United States of America ISBN: 210/11/2017 9:57:45 AMFOR REVIEW ONLY FOR REVIEW ONLYI nstructor Sample ContentsPreparation for College MATHEMATICS Second Edition Table of Contents ..vPreparation for College MATHEMATICS : Content Highlights ..ixStrategies for Academic SuccessHow to Read a Math Textbook ..1 Tips for Success in a Math Course.

3 2 Tips for Improving Math Test Scores ..3 Practice, Patience, and Persistence! ..4 Note Taking ..5Do I Need a Math Tutor? ..6 Tips for Improving Your Memory ..7 Overcoming Anxiety ..8 Online Resources ..9 Preparing for a Final Math Exam ..10 Chapter ProjectTake Me Out to the Ball Game! ..12 CHAPTER Introduction to Integers .. Addition with Integers .. Subtraction with Integers ..31 CHAPTER 8 Graphing Linear equations and Inequalities8 .1 The Cartesian Coordinate System ..418 .2 Graphing Linear equations in Two Variables ..588 .3 Slope Intercept Form ..68 CHAPTER 15 Exponential and Logarithmic Exponential Functions.

4 Logarithmic Functions .. 310/11/2017 12:35:15 PMFOR REVIEW ONLY FOR REVIEW 410/11/2017 9:57:45 AMFOR REVIEW ONLY FOR REVIEW ONLYP reparation for College MATHEMATICS Second Edition Table of Contents Note: Content subject to changeCHAPTER 1 Whole Introduction to Whole Addition and Subtraction with Whole Numbers Multiplication with Whole Division with Whole Rounding and Estimating with Whole Problem solving with Whole solving equations with Whole Numbers (x + b = c and ax = c) Exponents and Order of Tests for Prime Numbers and Prime FactorizationsCHAPTER Introduction to Addition with Subtraction with Multiplication, Division, and Order of Operations with Simplifying and Evaluating Translating English Phrases and Algebraic solving equations with Integers (ax + b = c)CHAPTER 3 Fractions, Mixed Numbers, and Introduction to Fractions and Mixed Multiplication with Division with Multiplication and Division with Mixed Least Common Multiple (LCM)

5 Addition and Subtraction with Addition and Subtraction with Mixed Comparisons and Order of Operations with solving equations with Ratios and ProbabilityCHAPTER 4 Decimal Introduction to Decimal Addition and Subtraction with Decimal Multiplication and Division with Decimal Estimating and Order of Operations with Decimal Statistics: Mean, Median, Mode, and Decimal Numbers and solving equations with Decimal NumbersvPreparation for College MATHEMATICS Second Edition Table of Contents 510/11/2017 9:57:46 AMFOR REVIEW ONLY FOR REVIEW ONLYCHAPTER Basics of solving Percent Problems Using solving Percent Problems Using Applications of Simple and Compound Reading GraphsCHAPTER 6 Measurement and US The Metric System: Length and Area The Metric System: Weight and Volume US and Metric Angles and Volume and Surface Similar and Congruent square Roots and the Pythagorean TheoremCHAPTER 7 solving Linear equations and Properties of Real solving Linear equations : x + b = c and ax = solving Linear equations : ax + b = solving Linear equations .

6 Ax + b = cx + Working with Applications: Number Problems and Consecutive Applications: Distance-Rate-Time, Interest, Average, and solving Linear Inequalities Compound Absolute Value Absolute Value InequalitiesCHAPTER 8 Graphing Linear equations and The Cartesian Coordinate Graphing Linear equations in Two Slope-Intercept Point-Slope Introduction to Functions and Function Graphing Linear Inequalities in Two VariablesviPreface Preparation for College MATHEMATICS Second Edition Table of 610/11/2017 9:57:46 AMFOR REVIEW ONLY FOR REVIEW ONLYCHAPTER 9 Systems of Linear Systems of Linear equations : Solutions by Systems of Linear equations : Solutions by Systems of Linear equations : Solutions by Applications: Distance-Rate-Time, Number Problems, Amounts, and Applications: Interest and Systems of Linear equations : Three Matrices and Gaussian Systems of Linear InequalitiesCHAPTER 10 Exponents and Rules for Power Rules for Applications.

7 Scientific Introduction to Addition and Subtraction with Multiplication with Special Products of Division with Synthetic Division and the Remainder TheoremCHAPTER 11 Factoring Greatest Common Factor (GCF) and Factoring by Factoring Trinomials: x2 + bx + Factoring Trinomials: ax2 + bx + Special Factoring Review of Factoring solving quadratic equations by Applications: quadratic EquationsCHAPTER 12 Rational Introduction to Rational Multiplication and Division with Rational Least Common Multiple of Addition and Subtraction with Rational Simplifying Complex solving Rational Applications: Rational Applications: VariationviiPreparation for College MATHEMATICS Second Edition Table of Contents 710/11/2017 9:57.

8 46 AMFOR REVIEW ONLY FOR REVIEW ONLYCHAPTER 13 Roots and Evaluating Simplifying Rational Addition, Subtraction, and Multiplication with Rationalizing solving Radical Functions with Introduction to Complex Multiplication and Division with Complex NumbersCHAPTER 14 quadratic quadratic equations : The square Root quadratic equations : Completing the quadratic equations : The quadratic More Applications of quadratic equations in quadratic Graphing quadratic More on Graphing Functions and solving Polynomial and Rational InequalitiesCHAPTER 15 Exponential and Logarithmic Algebra of Composition of Functions and Inverse Exponential Logarithmic Properties of Common Logarithms and Natural Logarithmic and Exponential equations and Change-of-Base Applications.

9 Exponential and Logarithmic FunctionsCHAPTER 16 Conic Translations and Parabolas as Conic Distance Formula, Midpoint Formula, and Ellipses and Nonlinear Systems of equations viiiPreface Preparation for College MATHEMATICS Second Edition Table of 810/11/2017 9:57:46 AMFOR REVIEW ONLY FOR REVIEW ONLYP reparation for College MATHEMATICS : Content HighlightsNew FeaturesStrategies for Academic SuccessA new section has been included to help students hone their skills in note taking, time management, test taking, and reading. This section also provides tips for improving memory, overcoming test anxiety, and finding a math tutor.

10 (See page 19 for more)Strategies for Academic Success Note TakingTaking notes in class is an important step in understanding new material. While there are several methods for taking notes, every note-taking method can benefit from these general Tips Write the date and the course name at the top of each page. Write the notes in your own words and paraphrase. Use abbreviations, such as ft for foot, # for number, def for definition, and RHS for right-hand side. Copy all figures or examples that are presented during the lecture. Review and rewrite your notes after class. Do this on the same day, if are many different methods of note taking and it s always good to explore new methods.