Pre-Calculus Super Review

Pre-Calculus Super Review

by Research & Education Association, Rea

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Overview

Get all you need to know with Super Reviews! Each Super Review is packed with in-depth, student-friendly topic reviews that fully explain everything about the subject. The Pre-Calculus Super Review includes sets, numbers, operations and properties, coordinate geometry, fundamental algebraic topics, solving equations and inequalities, functions, trigonometry, exponents and logarithms, conic sections, matrices, and determinants. Take the Super Review quizzes to see how much you've learned - and where you need more study. Makes an excellent study aid and textbook companion. Great for self-study!

DETAILS
- From cover to cover, each in-depth topic review is easy-to-follow and easy-to-grasp - Perfect when preparing for homework, quizzes, and exams!
- Review questions after each topic that highlight and reinforce key areas and concepts
- Student-friendly language for easy reading and comprehension
- Includes quizzes that test your understanding of the subject

Product Details

ISBN-13: 9780878910885
Publisher: Research & Education Association
Publication date: 06/02/2000
Series: Super Reviews Study Guides Series
Pages: 336
Sales rank: 511,344
Product dimensions: 5.50(w) x 8.25(h) x 0.73(d)
Age Range: 16 Years

Read an Excerpt

What This Book Will Do For You...

REA's SUPER REVIEWS provides all you need to know to excel in class and succeed on midterms, finals, and even pop quizzes.

Think of this book as giving you access to your own private tutor. Here, right at your fingertips, is a brisk review to help you not only understand your textbook but also pick up where even some of the best lectures leave off.

Outstanding features include...
- Comprehensive yet concise coverage
- Targeted preparation for subject tests
- Easy-to-follow & format that helps you master the subject matter
- End-of-chapter quizzes that provide pretest tune-up

We think you'll agree that, whether you're prepping for your next test or want to be a stronger contributor in class, REA's truly provides all you need to know!

Larry B. Kling
Super Review Program Director

Table of Contents

Chapter 1Sets, Numbers, Operations, and Properties
1.1Sets1
1.2Real Numbers and Their Components2
1.3Real Number Properties of Equality4
1.4Real Number Operations and Their Properties5
1.5Complex Numbers9
Quiz: Sets, Numbers, Operations, and Properties14
Chapter 2Coordinate Geometry
2.1Real Numbers and the Coordinate Line17
2.2Cartesian Coordinates18
2.3Lines and Segments19
2.4Symmetry29
2.5Intercepts and Asymptotes32
2.6Parametric Equations35
2.7Polar Coordinates39
Quiz: Coordinate Geometry44
Chapter 3Fundamental Algebraic Topics
3.1The Arithmetic of Polynomials48
3.2Factoring53
3.3Rational Expressions58
3.4Radicals66
Quiz: Fundamental Algebraic Topics73
Chapter 4Solving Equations and Inequalities
4.1Solving Equations in One Variable76
4.2Solving Inequalities78
4.3Solving Absolute Value Equations and Inequalities82
4.4Solving Systems of Linear Equations85
4.5Solving Systems of Linear Inequalities and Linear Programming96
4.6Solving Equations Involving Radicals, Solving Rational Equations, and Solving Equations in Quadratic Form101
Quiz: Solving Equations and Inequalities107
Chapter 5Functions
5.1Functions and Equations110
5.2Combining Functions120
5.3Inverse Functions125
5.4Increasing and Decreasing Functions132
5.5Polynomial Functions and Their Graphs133
5.6Rational Functions and Their Graphs137
5.7Special Functions and Their Graphs140
Quiz: Functions144
Chapter 6Trigonometry
6.1Trigonometric Functions149
6.2Inverse Trigonometric Functions164
6.3Trigonometric Identities168
6.4Triangle Trigonometry175
6.5Solving Trigonometric Equations183
6.6The Trigonometric Form of a Complex Number187
Quiz: Trigonometry196
Chapter 7Exponents and Logarithms
7.1Integer Exponents202
7.2Rational Number Exponents207
7.3Exponential Functions210
7.4Logarithms215
7.5Logarithmic Functions222
Quiz: Exponents and Logarithms224
Chapter 8Conic Sections
8.1Introduction to Conic Sections228
8.2The Circle229
8.3The Ellipse233
8.4The Parabola239
8.5The Hyperbola246
Quiz: Conic Sections253
Chapter 9Matrices and Determinants
9.1Matrices and Matrix Operations258
9.2Determinants268
9.3The Inverse of a Square Matrix272
Quiz: Matrices and Determinants283
Chapter 10Miscellaneous Topics
10.1The Fundamental Counting Principle, Permutations, and Combinations290
10.2The Binomial Theorem293
10.3Sequences and Series295
10.4Mathematical Induction297
10.5Zeros of A Polynomial303
Quiz: Miscellaneous Topics312

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