Math Review for Standardized Tests

ISBN-10: 0822020335
ISBN-13: 9780822020332
Edition: 1985
List price: $10.99
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Description: The CliffsTestPrep series offers full-length practice exams that simulate the real tests; proven test-taking strategies to increase your chances at doing well; and thorough review exercises to help fill in any knowledge gaps. Math Review for  More...

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Book details

List price: $10.99
Copyright year: 1985
Publisher: John Wiley & Sons, Incorporated
Publication date: 8/28/1985
Binding: Paperback
Pages: 432
Size: 5.25" wide x 8.00" long x 1.00" tall
Weight: 1.232
Language: English

The CliffsTestPrep series offers full-length practice exams that simulate the real tests; proven test-taking strategies to increase your chances at doing well; and thorough review exercises to help fill in any knowledge gaps. Math Review for Standardized Tests is for anyone who is planning to take the *SAT, ACT, GRE, GMAT, *PSAT, CBEST, NTE, or any other standardized test. You get a fighting chance at success by focusing squarely on a test-oriented math review. Each review section includes: A diagnostic test to spot areas that need special attention Rules and concepts with examples Practice problems Complete (and understandable) explanations A review test If your math skills are shaky, this guide will refresh your memory by reintroducing mathematical rules and concepts you've learned but since forgotten. Glossaries assist your understanding of math terms used in the problems and explanations. Math Review for Standardized Tests covers these areas of math: Arithmetic, including rounding off, positives and negatives, fractions, decimals, percentages, scientific notation, exponents, square roots, statistics, measures Algebra, including sets, variables, expressions, ratios, factoring, proportions, monomials, polynomials, quadratic equations, inequalities, roots and radicals. Geometry, including angles, lines, polygons, triangles, Pythagorean Theorem, quadrilaterals, circles, congruence and similarity, and solid figures Word problems, including simple and compound interest, ratio and proportion, motion, percentages, ages, geometry, mixtures With guidance from the CliffsTestPrep series, you'll feel at home in any standardized-test environment! *SAT and PSAT are registered trademarks of the College Board, which was not involved in the production of, and does not endorse this product.

Introduction
Why You Need This Guide
What This Guide Contains
Range of Difficulty and Scope
A General Guideline
How to Use This Guide
Basic Skills Review
Arithmetic
Arithmetic Diagnostic Test
Arithmetic Review
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
Place Value
Expanded Notation
Grouping Symbols: Parentheses, Brackets, Braces
Parentheses ( )
Brackets [ ] and Braces { }
Order of Operations
Rounding Off
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
Multiplying and Dividing Using Zero
Divisibility Rules
Common Fractions
Numerator and Denominator
Negative Fractions
Proper Fractions and Improper Fractions
Mixed Numbers
Equivalent Fractions
Reducing Fractions
Enlarging Denominators
Factors
Common Factors
Greatest Common Factor
Multiples
Common Multiples
Least Common Multiple
Adding and Subtracting Fractions
Adding Fractions
Adding Positive and Negative Fractions
Subtracting Fractions
Subtracting Positive and Negative Fractions
Adding and Subtracting Mixed Numbers
Adding Mixed Numbers
Subtracting Mixed Numbers
Multiplying Fractions and Mixed Numbers
Multiplying Fractions
Multiplying Mixed Numbers
Dividing Fractions and Mixed Numbers
Dividing Fractions
Dividing Complex Fractions
Dividing Mixed Numbers
Simplifying Fractions and Complex Fractions
Decimals
Changing Decimals to Fractions
Adding and Subtracting Decimals
Multiplying Decimals
Dividing Decimals
Changing Fractions to Decimals
Percentage
Changing Decimals to Percents
Changing Percents to Decimals
Changing Fractions to Percents
Changing Percents to Fractions
Important Equivalents That Can Save You Time
Finding Percent of a Number
Other Applications of Percent
Percent--Proportion Method
Finding Percent Increase or Percent Decrease
Scientific Notation
Multiplication in Scientific Notation
Division in Scientific Notation
Powers and Exponents
Squares and Cubes
Operations with Powers and Exponents
Square Roots and Cube Roots
Square Roots
Cube Roots
Approximating Square Roots
Simplifying Square Roots
Probability
Combinations and Permutations
Statistics
Some Basics: Measures of Central Tendencies
Mean
Weighted Mean
Median
Mode
Range
Number Series
Measures
Measurement Systems
Converting Units of Measure
Arithmetic Review Test
Arithmetic Glossary of Terms
Algebra
Algebra Diagnostic Test
Algebra Review
Some Basic Language
Understood Multiplication
Letters to Be Aware of
Basic Terms in Set Theory
Special Sets
Describing Sets
Types of Sets
Comparing Sets
Operations with Sets
Variables and Algebraic Expressions
Key Words Denoting Addition
Key Words Denoting Subtraction
Key Words Denoting Multiplication
Key Words Denoting Division
Evaluating Expressions
Equations
Solving Equations
Literal Equations
Ratios and Proportions
Ratios
Proportions
Solving Proportions for Value
Solving for Two Unknowns--Systems of Equations
Monomials and Polynomials
Adding and Subtracting Monomials
Multiplying Monomials
Dividing Monomials
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
Solving Quadratic Equations
Algebraic Fractions
Operations with Algebraic Fractions
Reducing Algebraic Fractions
Multiplying Algebraic Fractions
Dividing Algebraic Fractions
Adding or Subtracting Algebraic Fractions
Inequalities
Solving Inequalities
Graphing on a Number Line
Graphing Inequalities
Intervals
Absolute Value
Analytic Geometry
Coordinate Graphs
Graphing Equations on the Coordinate Plane
Roots and Radicals
Simplifying Square Roots
Operations with Square Roots
Addition and Subtraction of Square Roots after Simplifying
Products of Nonnegative Roots
"False" Operations
Algebra Review Test
Algebra Glossary of Terms
Geometry
Geometry Diagnostic Test
Geometry Review
Angles
Types of Angles
Right Angle
Acute Angle
Obtuse Angle
Straight Angle
Pairs of Angles
Adjacent Angles
Vertical Angles
Complementary Angles
Supplementary Angles
Angle Bisector
Lines
Straight Lines
Line Segments
Rays
Types of Lines
Intersecting Lines
Perpendicular Lines
Parallel Lines
Parallel Lines Cut by Transversal
Polygons
Regular Polygons
Diagonals of Polygons
Convex Polygons
Concave Polygons
Triangles
Types of Triangles by Sides
Equilateral Triangles
Isosceles Triangles
Scalene Triangles
Types of Triangles by Angles
Right Triangles
Obtuse Triangles
Acute Triangles
Facts about Triangles
Base and Height
Median
Angles Opposite Equal Sides
Angles of an Isosceles Triangle
Angles of an Equilateral Triangle
Unequal Angles
Adding Sides of a Triangle
Exterior Angles
Pythagorean Theorem
Special Triangles
Isosceles Right Triangles
30[degree]-60[degree]-90[degree] Right Triangles
Quadrilaterals
Types of Quadrilaterals
Square
Rectangle
Parallelogram
Rhombus
Trapezoid
Comparing Quadrilaterals
Sum of the Interior Angles of a Polygon
Perimeter and Area of Polygons
Perimeter of Polygons
Area of Polygons
Circles
Parts of a Circle
Radius
Diameter
Chord
Arc
Circumference and Area of a Circle
Circumference
Area
Angles in a Circle
Central Angles
Inscribed Angles
Concentric Circles
Tangents to a Circle
Congruence and Similarity
Volumes of Solid Figures
Volume of a Cube
Volume of a Rectangular Solid
Volume of a Right Circular Cylinder (Circular Bases)
Surface Areas of Solid Figures
Surface Area of a Rectangular Solid
Surface Area of a Right Circular Cylinder
Geometry Formulas That You Should Be Familiar With
Geometry Review Test
Geometry Glossary of Terms
Word Problems
Word Problems Diagnostic Test
Word Problems Review
Solving Technique
Key Words and Phrases
Simple Interest
Compound Interest
Ratio and Proportion
Motion
Percent
Percent Change
Number
Age
Geometry
Work
Mixture
Word Problems Review Test
Word Problems Glossary of Terms
Strategies and Practice
Answer Sheet for Practice Sections
Mathematical Ability
Mathematical Ability Strategies
Information Provided in the Test Booklet
Data That May Be Used as Reference for the Test
Suggested Approach with Examples
Mark Key Words
Pull out Information
Plug in Numbers
Work from the Answers
Approximate
Make Comparisons
Mark Diagrams
Draw Diagrams
Procedure Problems
Multiple-Multiple-Choice
Mathematical Ability Practice
Arithmetic
Algebra
Geometry
Procedure Problems
Answer Key for Mathematical Ability Practice
Mathematical Ability Answers and Explanations
Arithmetic
Algebra
Geometry
Procedure Problems
Quantitative Comparison
Quantitative Comparison Strategies
Directions
Analysis
Suggested Approach with Examples
Cancel out Equal Amounts
Make Partial Comparisons
Keep Perspective
Plug in 0, 1, -1
Simplify
Look for a Simple Way
Mark Diagrams
Use Easier Numbers
Quantitative Comparison Practice
Arithmetic
Algebra
Geometry
Answer Key for Quantitative Comparison Practice
Quantitative Comparison Answers and Explanations
Arithmetic
Algebra
Geometry
Data Sufficiency
Data Sufficiency Strategies
Directions
Analysis
Suggested Approach with Examples
Determine Necessary Information
Don't Solve Unless Necessary
Use a Simple Marking System
Use Only Common Knowledge
Mark Diagrams
Draw Diagrams
Data Sufficiency Practice
Arithmetic
Algebra
Geometry
Answer Key for Data Sufficiency Practice
Data Sufficiency Answers and Explanations
Arithmetic
Algebra
Geometry
Final Suggestions

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