CliffsQuickReview Algebra I

ISBN-10: 076456370X

ISBN-13: 9780764563706

Edition: 2001

List price: $9.99
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Description:

CliffsQuickReview course guides cover the essentials of your toughest classes. Get a firm grip on core concepts and key material, and test your newfound knowledge with review questions. Whether you're brushing up on pre-Algebra concepts or on your way toward mastering algebraic fractions, factoring, and functions, CliffsQuickReview Algebra I can help. This guide introduces each topic, defines key terms, and carefully walks you through each sample problem step-by-step. In no time, you'll be ready to tackle other concepts in this book such as Equations, ratios, and proportions Inequalities, graphing, and absolute value Coordinate Geometry Roots and radicals Quadratic equations CliffsQuickReview Algebra I acts as a supplement to your textbook and to classroom lectures. Use this reference in any way that fits your personal style for study and review _ you decide what works best with your needs. Here are just a few ways you can search for topics: Use the free Pocket Guide full of essential information Get a glimpse of what you'll gain from a chapter by reading through the Chapter Check-In at the beginning of each chapter Use the Chapter Checkout at the end of each chapter to gauge your grasp of the important information you need to know Test your knowledge more completely in the CQR Review and look for additional sources of information in the CQR Resource Center Use the glossary to find key terms fast. With titles available for all the most popular high school and college courses, CliffsQuickReview guides are a comprehensive resource that can help you get the best possible grades.
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Book details

List price: $9.99
Copyright year: 2001
Publisher: John Wiley & Sons, Incorporated
Publication date: 5/29/2001
Binding: Paperback
Pages: 176
Size: 5.00" wide x 8.00" long x 0.50" tall
Weight: 0.440
Language: English

JERRY BOBROW, Ph.D. was a national authority in the field of test preparation. His test-prep company, Bobrow Test Preparation Services, administered test preparation programs at over 25 California institutions.

Introduction
Preliminaries and Basic Operations
Preliminaries
Groups of numbers
Ways to show multiplication
Common math symbols
Properties of Basic Mathematical Operations
Some properties (axioms) of addition
Some properties (axioms) of multiplication
A property of two operations
Multiplying and Dividing Using Zero
Powers and Exponents
Squares and cubes
Operations with powers and exponents
Square Roots and Cube Roots
Cube roots
Approximating square roots
Simplifying square roots
Grouping Symbols
Parentheses ()
Brackets [] and braces []
Order of operations
Divisibility Rules
Signed Numbers, Fractions, and Percents
Signed Numbers (Positive Numbers and Negative Numbers)
Number lines
Addition of signed numbers
Subtraction of signed numbers
Minus preceding parenthesis
Multiplying and dividing signed numbers
Fractions
Negative fractions
Adding positive and negative fractions
Subtracting positive and negative fractions
Multiplying fractions
Canceling
Multiplying mixed numbers
Dividing fractions
Dividing complex fractions
Dividing mixed numbers
Simplifying Fractions and Complex Fractions
Decimals
Changing terminating decimals to fractions
Changing fractions to decimals
Changing infinite repeating decimals to fractions
Important equivalents that can save you time
Percent
Changing decimals to percents
Changing percents to decimals
Changing fractions to percents
Changing percents to fractions
Finding the percent of a number
Other applications of percent
Percent--proportion method
Scientific Notation
Multiplication in scientific notation
Division in scientific notation
Terminology, Sets, and Expressions
Some Basic Language
Understood multiplication
Letters to be aware of
Set Theory
Special sets
Describing sets
Types of sets
Comparing sets
Operations with sets
Variables and Algebraic Expressions
Evaluating Expressions
Equations, Ratios, and Proportions
Equations
Axioms of equality
Solving equations
Literal equations
Ratios and Proportions
Ratios
Proportions
Solving proportions for value
Equations with Two Variables
Solving Systems of Equations (Simultaneous Equations)
Addition/subtraction method
Substitution method
Graphing method
Monomials, Polynomials, and Factoring
Monomials
Adding and subtracting monomials
Multiplying monomials
Dividing monomials
Working with negative exponents
Polynomials
Adding and subtracting polynomials
Multiplying polynomials
Dividing polynomials by monomials
Dividing polynomials by polynomials
Factoring
Factoring out a common factor
Factoring the difference between two squares
Factoring polynomials having three terms of the form ax[superscript 2] + bx + c
Factoring by grouping
Algebraic Fractions
Operations with Algebraic Fractions
Reducing algebraic fractions
Multiplying algebraic fractions
Dividing algebraic fractions
Adding or subtracting algebraic fractions
Inequalities, Graphing, and Absolute Value
Inequalities
Axioms and properties of inequalities
Solving inequalities
Graphing on a Number Line
Graphing inequalities
Intervals
Absolute Value
Solving equations containing absolute value
Solving inequalities containing absolute value and graphing
Coordinate Geometry
Coordinate Graphs
Graphing equations on the coordinate plane
Slope and intercept of linear equations
Graphing linear equations using slope and intercept
Finding the equation of a line
Linear Inequalities and Half-Planes
Open half-plane
Closed half-plane
Functions and Variations
Functions
Relations
Domain and range
Defining a function
Graphs of functions
Graphs of relationships that are not functions
Determining domain, range, and if the relation is a function
Finding the values of functions
Variations
Direct variation
Inverse variation (indirect variation)
Roots and Radicals
Simplifying Square Roots
Operations with Square Roots
Under a single radical sign
When radical values are alike
When radical values are different
Addition and subtraction of square roots after simplifying
Products of nonnegative roots
Quotients of nonnegative roots
Quadratic Equations
Solving Quadratic Equations
Factoring
The quadratic formula
Completing the square
Word Problems
Solving Technique
Key Words and Phrases
Simple Interest
Compound Interest
Ratio and Proportion
Percent
Percent Change
Number Problems
Age Problems
Motion Problems
Coin Problems
Mixture Problems
Work Problems
Number Problems with Two Variables
CQR Review
CQR Resource Center
Glossary
Index
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