# CliffsStudySolverTM Algebra II

ISBN: 978-0-764-54135-3

Feb 2004

368 pages

Select type: Paperback

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## Description

The CliffsStudySolver workbooks combine 20 percent review material with 80 percent practice problems (and the answers!) to help make your lessons stick.

CliffsStudySolver Algebra II is for students who want to reinforce their knowledge with a learn-by-doing approach. Inside, you’ll get the practice you need to factor and solve equations with handy tools such as

• Straightforward, concise reviews of every topic
• Practice problems in every chapter — with explanations and solutions
• A diagnostic pretest to assess your current skills

Beginning with the rules for exponents and operations involving polynomials, this workbook ventures into quadratic equations, function transformations, rational root theorem, and more. You'll explore factoring by grouping, graphing, complex numbers, and hyperbola, plus details about

• Solving exponential and logarithmic equations
• Using a graphing calculator to graph lines and polynomials
• Dealing with story problems using systems of equations
• Performing scalar and matrix multiplication
• Factoring binomials, trinomials, and other polynomials

Practice makes perfect — and whether you're taking lessons or teaching yourself, CliffsStudySolver guides can help you make the grade.

Introduction.

Terminology and Notation.

Order of Operations.

Graphing and the Coordinate Plane.

Simplifying Fractions.

Common Errors.

Pretest.

Pretest Questions.

Key to Pretest Questions.

Chapter 1: The Basics.

Rules for Exponents.

Laws for Using Exponents.

Multiplying Polynomials.

The FOIL Method.

Special Products.

Special Product #1.

Special Product #2.

Special Product #3.

Special Product #4.

Dividing Polynomials.

Divisors with One Term.

Long Division.

Synthetic Division.

Chapter Problems and Solutions.

Problems.

Supplemental Chapter Problems.

Problems.

Chapter 2: Factoring and Solving Equations.

Greatest Common Factors and Factoring Binomials.

Greatest Common Factor.

Factoring Binomials.

Factoring Trinomials.

Factoring Other Polynomials.

Factoring by Grouping.

Solving Quadratic Equations Using Completing the Square.

Chapter Problems and Solutions.

Problems.

Supplemental Chapter Problems.

Problems.

Chapter 3: Function Operations and Transformations.

Functions and Function Notation.

Domain and Range.

Function Notation.

Function Operations.

Composition of Functions.

Difference Quotient.

Inverse Functions.

Showing That Two Functions Are Inverses of One Another.

Solving for the Inverse of a Function.

Function Transformations.

Slides.

Flips.

Warps.

Chapter Problems and Solutions.

Problems.

Supplemental Chapter Problems.

Chapter 4: Polynomials.

Remainder Theorem.

Rational Root Theorem and Descartes’ Rule of Sign.

Rational Root Theorem.

Descartes’ Rule of Sign.

Upper and Lower Bounds.

Using a Graphing Calculator to Graph Lines and Polynomials.

Solving Equations and Inequalities Using Graphing.

Chapter Problems and Solutions.

Problems.

Supplemental Chapter Problems.

Problems.

Chapter 5: Exponential and Logarithmic Functions.

Exponential Functions.

Form y = ax.

Form y = a-x.

The Constant “e”.

Compound Interest.

Logarithmic Functions.

Laws of Logarithms.

Applications of Logarithms.

Solving Exponential and Logarithmic Equations.

Chapter Problems and Solutions.

Problems.

Supplemental Chapter Problems.

Problems.

Chapter 6: Graphing.

Graphing Polynomials.

Graphing Rational Functions.

Graphing Absolute Value and Logarithmic Functions.

Graphing Functions Using Transformations.

Chapter Problems and Solutions.

Problems.

Supplemental Chapter Problems.

Problems.

Chapter 7: Other Equations.

Rationalizing a Denominator.

Complex Numbers.

Operations Involving Complex Numbers.

Rational Equations.

Variation.

Chapter Problems and Solutions.

Problems.

Supplemental Chapter Problems.

Problems.

Chapter 8: Conic Sections.

Circle.

Area and Circumference.

Standard Form.

Changing to the Standard Form Using Completing the Square.

Ellipse.

Parabola.

Hyperbola.

Graphing Conics.

Writing Equations of Circles.

Chapter Problems and Solutions.

Problems.

Problems.

Chapter 9: Systems of Equations and Inequalities.

Solving Linear Systems Using the Addition Method.

Solving Linear Equations Using Substitution.

Solving Linear Equations Using Cramer’s Rule.

Systems of Non-Linear Equations.

Story Problems Using Systems of Equations.

Systems of Inequalities.

Chapter Problems and Solutions.

Problems.

Supplemental Chapter Problems.

Problems.

Chapter 10: Systems of Linear Equations with Three or More Variables.

Solving Linear Systems Using Matrices.

Operations on Matrices.

Scalar Multiplication.

Matrix Multiplication.

Inverse of a 2 x 2 Matrix.

Applications of Systems of Linear Equations.

Chapter Problems and Solutions.

Problems.