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Beginning and Intermediate Algebra with ALEKS 18 Week Access Card

by: Miller, Julie; O'Neill, Molly; Hyde, Nancy

Beginning and Intermediate Algebra with ALEKS 18 Week Access Card

by: Miller, Julie; O'Neill, Molly; Hyde, Nancy

ISBN 13:
9780077734152
ISBN 10:
0077734157
Edition: 4th
Format: Package
Copyright: 02/08/2013
Publisher: McGraw-Hill Education
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Beginning and Intermediate Algebra with ALEKS 18 Week Access Card > ISBN13: 9780077734152

Summary

Assessment and Learning in Knowledge Spaces is a Web-based, artificially intelligent assessment and learning system. ALEKS uses adaptive questioning to quickly and accurately determine exactly what a student knows and doesn't know in a course. ALEKS then instructs the student on the topics she is most ready to learn. As a student works through a course, ALEKS periodically reassesses the student to ensure that topics learned are also retained. ALEKS courses are very complete in their topic coverage and ALEKS avoids multiple-choice questions. A student who shows a high level of mastery of an ALEKS course will be successful in the actual course she is taking.

Chapter 1: Set of Real Numbers

1.1 Fractions

1.2 Introduction to Algebra and the Set of Real Numbers

1.3 Exponents, Square Roots, and Order of Operations

1.4 Addition of Real Numbers

1.5 Subtraction of Real Numbers
Problem Recognition Exercises—Addition and Subtraction of Real Numbers

1.6 Multiplication and Division of Real Numbers
Problem Recognition Exercises—Adding, Subtracting, Multiplying and Dividing Real Numbers

1.7 Properties of Real Numbers and Simplifying Expressions

Chapter 2: Linear Equations and Inequalities

2.1 Addition, Subtraction, Multiplication, and Division Properties of Equality

2.2 Solving Linear Equations

2.3 Linear Equations: Clearing Fractions and Decimals
Problem Recognition Exercises—Equations vs.Expressions

2.4 Applications of Linear Equations: Introduction to Problem Solving
2.5 Applications Involving Percents

2.6 Formulas and Applications of Geometry
2.7 Mixture Applications and Uniform Motion
2.8 Linear Inequalities
Chapter 3: Graphing Linear Equations in Two Variables
3.1 Rectangular Coordinate System
3.2 Linear Equations in Two Variables
3.3 Slope of a Line and Rate of Change
3.4 Slope-Intercept Form of a Linear Equation
Problem Recognition Exercises-Linear Equations in Two Variables
Point-Slope Formula
Applications of Linear Equations
Chapter 4: Systems of Linear Equations
4.1 Solving Systems of Equations by the Graphing Method
4.2 Solving Systems of Equations by the Substitution Method
4.3 Solving Systems of Equations by the Addition Method
Problem Recognition Exercises: Systems of Equations
4.4 Applications of Linear Equations in Three Variables
4.5 Systems of Linear Equations in Three Variables
4.6 Applications of Systems of Linear Equations in Three Variables
Chapter 5: Polynomials and Properties of Exponents
5.1 Multiplying and Dividing Expressions with Common Bases
5.2 More Properties of Exponents
5.3 Definitions of b^0 and b^-n
Problem Recognition Exercises-Properties of Exponents
5.4 Scientific Notation
5.5 Addition and Subtraction of Polynomials
5.6 Multiplication of Polynomials
5.7 Division of Polynomials
Problem Recognition Exercises-Operations on Polynomials
Chapter 6: Factoring Polynomials
6.1 Greatest Common Factor and Factoring by Grouping
6.2 Factoring Trinomials of the Form x^2 + bx + c
6.3 Factoring Trinomials: Trial-and-Error Method
6.4 Factoring Trinomials: AC-Method
6.5 Difference of Squares and Perfect Square Trinomials
6.6 Sum and Difference of Cubes
Problem Recognition Exercises-Factoring Strategy
6.7 Solving Equations Using the Zero Product Rule
Problem Recognition Exercises-Polynomial Expressions and Polynomial Equations
6.8 Applications of Quadratic Equations
Chapter 7: Rational Expressions and Equations
7.1 Introduction of Rational Expressions
7.2 Multiplication and Division of Rational Expressions
7.3 Least Common Denominator
7.4 Addition and Subtraction of Rational Expressions
Problem Recognition Exercises-Operations of Rational Expressions
7.5 Complex Fractions
7.6 Rational Equations
Problem Recognition Exercises-Comparing Rational Equations and Rational Expressions
7.7 Applications of Rational Equations and Proportions
Chapter 8: Relations and Functions
8.1 Introduction of Relations
8.2 Introduction of Functions
8.3 Graphs of Functions
Problem Recognition Exercises: Characteristics of Relations
8.4 Alebra of Functions and Composition
8.5 Variation
Chapter 9: More Equations and Inequalities
9.1 Compound Inequalities
9.2 Polynomial and Rational Enequalities
9.3 Absolute Value Equations
9.4 Absolute Value Inequalities
Problem Recognition Exercises: Equations and Inequalities
9.5 Linear and Compound Inequalities in Two Variables
Chapter 10: Radicals and Complex Numbers
10.1 Definition of an nth Root
10.2 Rational Exponents
10.3 Simplifying Radical Expressions
10.4 Addition and Subtraction of Radicals
10.5 Multiplication of Radical
Problem Recognition Exercises: Simplifying Radical Expressions
10.6 Division of Radicals and Rationalization
10.7 Solving Radical Equations
10.8 Complex Numbers
Chapter 11: Quadratic Equations, Functions and Inequalities
11.1 Square Root Property and Completing the Square
11.2 Quadratic Formula
11.3 Equations in Quadratic Form
Problem Recognition Exercises: Quadratic and Quadratic Type Equations
11.4 Graphs of Quadratic Functions
11.5 Vertex of a Parabola: Applications and Modeling
Chapter 12: Exponential and Logarithmic Functions and Applications
12.1 Inverse Functions
12.2 Exponential Functions
12.3 Logarithmic Functions
Problem Recognition Exercises: Logarithmic and Exponential Forms
12.4 Properties of Logarithms
12.5 The Irrational Number and change of Base
12.6 Logarithmic and Exponential Equations and Applications
Chapter 13: Conic Sections
13.1 Distance Formula, Midpoint Formula, and Circles
13.2 More on the Parabola
13.3 The Ellipse and Hyperbola
Problem Recognition Exercises: Formulas and Conic Sections
13.4 Nonlinear Systems of Equation in Two Variables
13.5 Nonlinear Inequalities and Systems of Inequalities
Chapter 14: Binomial Expansions, Sequences, and Series
14.1 Binomial Expansions
14.2 Sequences and Series
14.3 Arithmetic Sequences and Series
14.4 Geometric Sequences and Series
Problem Recognition Exercises: Identifying Arithmetic and Geometric Series
Additional Topics Appendix
A.1 Mean, Median, and Mode
A.2 Introduction to Geometry
A.3 Solving Systems of Linear Equations Using Matrices
A.4 Determinants and Cramer’s Rule

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Beginning and Intermediate Algebra with ALEKS 18 Week Access Card

Beginning and Intermediate Algebra with ALEKS 18 Week Access Card

9780077734152

0077734157

Summary

Table of Contents

2.5 Applications Involving Percents

2.6 Formulas and Applications of Geometry

2.7 Mixture Applications and Uniform Motion

2.8 Linear Inequalities

Chapter 3: Graphing Linear Equations in Two Variables

3.1 Rectangular Coordinate System

3.2 Linear Equations in Two Variables

3.3 Slope of a Line and Rate of Change

3.4 Slope-Intercept Form of a Linear EquationProblem Recognition Exercises-Linear Equations in Two Variables

Point-Slope Formula

Applications of Linear Equations

Chapter 4: Systems of Linear Equations

4.1 Solving Systems of Equations by the Graphing Method

4.2 Solving Systems of Equations by the Substitution Method

4.3 Solving Systems of Equations by the Addition MethodProblem Recognition Exercises: Systems of Equations

4.4 Applications of Linear Equations in Three Variables

4.5 Systems of Linear Equations in Three Variables

4.6 Applications of Systems of Linear Equations in Three Variables

Chapter 5: Polynomials and Properties of Exponents

5.1 Multiplying and Dividing Expressions with Common Bases

5.2 More Properties of Exponents

5.3 Definitions of b^0 and b^-nProblem Recognition Exercises-Properties of Exponents

5.4 Scientific Notation

5.5 Addition and Subtraction of Polynomials

5.6 Multiplication of Polynomials

5.7 Division of PolynomialsProblem Recognition Exercises-Operations on Polynomials

Chapter 6: Factoring Polynomials

6.1 Greatest Common Factor and Factoring by Grouping

6.2 Factoring Trinomials of the Form x^2 + bx + c

6.3 Factoring Trinomials: Trial-and-Error Method

6.4 Factoring Trinomials: AC-Method

6.5 Difference of Squares and Perfect Square Trinomials

6.6 Sum and Difference of CubesProblem Recognition Exercises-Factoring Strategy

6.7 Solving Equations Using the Zero Product RuleProblem Recognition Exercises-Polynomial Expressions and Polynomial Equations

6.8 Applications of Quadratic Equations

Chapter 7: Rational Expressions and Equations

7.1 Introduction of Rational Expressions

7.2 Multiplication and Division of Rational Expressions

7.3 Least Common Denominator

7.4 Addition and Subtraction of Rational ExpressionsProblem Recognition Exercises-Operations of Rational Expressions

7.5 Complex Fractions

7.6 Rational EquationsProblem Recognition Exercises-Comparing Rational Equations and Rational Expressions

7.7 Applications of Rational Equations and Proportions

Chapter 8: Relations and Functions

8.1 Introduction of Relations

8.2 Introduction of Functions

8.3 Graphs of FunctionsProblem Recognition Exercises: Characteristics of Relations

8.4 Alebra of Functions and Composition

8.5 Variation

Chapter 9: More Equations and Inequalities

9.1 Compound Inequalities

9.2 Polynomial and Rational Enequalities

9.3 Absolute Value Equations

9.4 Absolute Value InequalitiesProblem Recognition Exercises: Equations and Inequalities

9.5 Linear and Compound Inequalities in Two Variables

Chapter 10: Radicals and Complex Numbers

10.1 Definition of an nth Root

10.2 Rational Exponents

10.3 Simplifying Radical Expressions

10.4 Addition and Subtraction of Radicals

10.5 Multiplication of RadicalProblem Recognition Exercises: Simplifying Radical Expressions

10.6 Division of Radicals and Rationalization

10.7 Solving Radical Equations

10.8 Complex Numbers

Chapter 11: Quadratic Equations, Functions and Inequalities

11.1 Square Root Property and Completing the Square

11.2 Quadratic Formula

11.3 Equations in Quadratic FormProblem Recognition Exercises: Quadratic and Quadratic Type Equations

11.4 Graphs of Quadratic Functions

11.5 Vertex of a Parabola: Applications and Modeling

Chapter 12: Exponential and Logarithmic Functions and Applications

12.1 Inverse Functions

12.2 Exponential Functions

3.4 Slope-Intercept Form of a Linear Equation
Problem Recognition Exercises-Linear Equations in Two Variables

4.3 Solving Systems of Equations by the Addition Method
Problem Recognition Exercises: Systems of Equations

5.3 Definitions of b^0 and b^-n
Problem Recognition Exercises-Properties of Exponents

5.7 Division of Polynomials
Problem Recognition Exercises-Operations on Polynomials

6.6 Sum and Difference of Cubes
Problem Recognition Exercises-Factoring Strategy

6.7 Solving Equations Using the Zero Product Rule
Problem Recognition Exercises-Polynomial Expressions and Polynomial Equations

7.4 Addition and Subtraction of Rational Expressions
Problem Recognition Exercises-Operations of Rational Expressions

7.6 Rational Equations
Problem Recognition Exercises-Comparing Rational Equations and Rational Expressions

8.3 Graphs of Functions
Problem Recognition Exercises: Characteristics of Relations

9.4 Absolute Value Inequalities
Problem Recognition Exercises: Equations and Inequalities

10.5 Multiplication of Radical
Problem Recognition Exercises: Simplifying Radical Expressions

11.3 Equations in Quadratic Form
Problem Recognition Exercises: Quadratic and Quadratic Type Equations

12.3 Logarithmic Functions
Problem Recognition Exercises: Logarithmic and Exponential Forms