Interactive Algebra Foundations: Prealgebra, Introductory and Intermediate Algebra, 1st edition


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0134690192 / 9780134690193 INTERACTIVE ALGEBRA FOUNDATIONS: PREALGEBRA, INTRODUCTORY AND INTERMEDIATE ALGEBRA LIFE OF EDITION STANDALONE ACCESS CARD, 1/e
Table of contents
Preface
Chapter 1: The Whole Numbers
1.1: Introduction to the Interactive Assignment
1.2: Place Value, Names for Numbers, and Reading Tables
1.3: Adding and Subtracting Whole Numbers, and Perimeter
1.4: Rounding and Estimating
1.5: Multiplying Whole Number and Area
1.6: Dividing Whole Numbers
1.7: Exponents and Order of Operations
1.8: Introduction to Variables, Algebraic Expressions, and Equations
Chapter 1 Review and Practice
Chapter 2: Integers and Introduction to Solving Equations
2.1: Introduction to Integers
2.2: Adding Integers
2.3: Subtracting Integers
2.4: Multiplying and Dividing Integers
2.5: Order of Operations
2.6: Solving Equations: The Addition and Multiplication Properties
Chapter 2 Review and Practice
Chapter 3: Solving Equations and Problem Solving
3.1: Simplifying Algebraic Expressions
3.2: Solving Equations: Review of the Addition and Multiplication Properties
3.3: Solving Linear Equations in One Variable
3.4: Linear Equations in One Variable and Problem Solving
Chapter 3 Review and Practice
Chapter 4: Fractions and Mixed Numbers
4.1: Introductions to Fractions and Mixed Numbers
4.2: Factors and Simplest Form
4.3: Multiplying and Dividing Fractions
4.4: Adding and Subtracting Like Fractions, Least Common Denominator, and Equivalent
Fractions
4.5: Adding and Subtracting Unlike Fractions
4.6: Complex Fractions and Review of Order of Operations
4.7: Operations and Mixed Numbers
4.8: Solving Equations Containing Fractions
Chapter 4 Review and Practice
Chapter 5: Decimals
5.1: Introduction to Decimals
5.2: Adding and Subtracting Decimals
5.3: Multiplying Decimals and Circumference of a Circle
5.4: Dividing Decimals
5.5: Fractions, Decimals, and Order of Operations
5.6: Solving Equations Containing Decimals
5.7: Decimal Applications: Mean, Median, and Mode
Chapter 5 Review and Practice
Chapter 6: Ratio, Proportion, and Percent
6.1: Ratio and Proportion
6.2: Percents, Decimals, and Fractions
6.3: Solving Percent Problems with Equations
6.4: Solving Percent Problems with Proportions
6.5: Applications of Percent
6.6: Percent and Problem Solving: Sales Tax, Commission, and Discount
6.7: Percent and Problem Solving: Interest
Chapter 6 Review and Practice
Chapter 7: Graphs, Triangle Applications, and Introduction to Statistics and Probability
7.1: Pictographs, Bar Graphs, Histograms, Line Graphs, and Introduction to Statistics
7.2: Circle Graphs
7.3: Square Roots and the Pythagorean Theorem
7.4: Congruent and Similar Triangles
7.5: Counting and Introduction to Probability
Chapter 7 Review and Practice
Chapter 8: Geometry and Measurement
8.1: Lines and Angles
8.2: Perimeter
8.3: Area, Volume, and Surface Area
8.4: Linear Measurement
8.5: Weight and Mass
8.6: Capacity
8.7: Temperature and Conversions Between the U.S. and Metric System
Chapter 8 Review and Practice
Chapter 9: Equations, Inequalities, and Problem Solving
9.1: Symbols and Sets of Numbers
9.2: Properties of Real Numbers
9.3: Further Solving Linear Equations
9.4: Further Problem Solving
9.5: Formulas and Problem Solving
9.6: Linear Inequalities and Problem Solving
Chapter 9 Review and Practice
Chapter 10: Graphing
10.1 The Rectangular Coordinate System
10.2 Graphing Linear Equations
10.3 Intercepts
10.4 Slope and Rate of Change
10.5 Equations of Lines
10.6 Functions
Chapter 10 Review and Practice
Chapter 11: Solving Systems of Linear Equations
11.1: Solving Systems of Linear Equations by Graphing
11.2: Solving Systems of Linear Equations by Substitution
11.3: Solving Systems of Linear Equations by Addition
11.4: Solving Systems of Linear Equations by Three Variables
11.5: Systems of Linear Equations and Problem Solving
Chapter 11 Review and Practice
Chapter 12: Exponents and Polynomials
12.1: Exponents
12.2: Polynomial Functions and Adding and Subtracting Polynomials
12.3: Multiplying Polynomials
12.4: Special Products
12.5: Negative Exponents and Scientific Notation
12.6: Dividing Polynomials
12.7: Synthetic Division and the Remainder Theorem
Chapter 12 Review and Practice
Chapter 13: Factoring Polynomials
13.1: The Greatest Common Factor and Factoring by Grouping
13.2: Factoring Trinomials of the Form x² + bx + c
13.3: Factoring Trinomials of the Form x² + bx + c and Perfect Square Trinomials
13.4: Factoring Trinomials of the Form x² + bx + c by Grouping
13.5: Factoring Binomials
13.6: Solving Quadratic Equations by Factoring
13.7: Quadratic Equations and Problem Solving
Chapter 13 Review and Practice
Chapter 14: Rational Expressions
14.1: Rational Functions and Simplifying Rational Expressions
14.2: Multiplying and Dividing Rational Expressions
14.3: Adding and Subtracting Rational Expressions with Common Denominators and Least
Common Denominator
14.4: Adding and Subtracting Rational Expressions with Unlike Denominators
14.5: Solving Equations Containing Rational Expressions
14.6: Problem Solving with Proportions and Rational Equations
14.7: Simplifying Complex Fractions
Chapter 14 Review and Practice
Chapter 15: More on Functions and Graphs
15.1: Graphing and Writing Linear Functions
15.2: Reviewing Function Notation and Graphing Nonlinear Functions
15.3: Graphing PiecewiseDefined Functions and Shifting and Reflecting Graphs of Functions
15.4: Variation and Problem Solving
Chapter 15 Review and Practice
Chapter 16: Inequalities and Absolute Value
16.1: Compound Inequalities
16.2: Absolute Value Equations
16.3: Absolute Value Inequalities
16.4: Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities
Chapter 16 Review and Practice
Chapter 17: Rational Exponents, Radicals, and Complex Numbers
17.1 Radicals and Radical Functions
17.2 Rational Exponents
17.3 Simplifying Radical Expressions
17.4 Adding, Subtracting, and Multiplying Radical Expressions
17.5 Rationalizing Denominators and Numerators of Radical Expressions
17.6 Radical Equations and Problem Solving
17.7 Complex Numbers
Chapter 17 Review and Practice
Chapter 18: Quadratic Equations and Functions
18.1 Solving Quadratic Equations by Completing the Square
18.2 Solving Quadratic Equations by the Quadratic Formula
18.3 Solving Equations by Using Quadratic Methods
18.4 Nonlinear Inequalities in One Variable
18.5 Quadratic Functions and Their Graphs
18.6 Further Graphing of Quadratic Functions
Chapter 18 Review and Practice
Chapter 19: Exponential and Logarithmic Functions
19.1 The Algebra of Functions; Composite Functions
19.2 Inverse Functions
19.3 Exponential Functions
19.4 Exponential Growth and Decay Functions
19.5 Logarithmic Functions
19.6 Properties of Logarithms
19.7 Common Logarithms, Natural Logarithms, and Change of Base
19.8 Exponential and Logarithmic Equations and Problem Solving
Chapter 19 Review and Practice
Chapter 20: Conic Sections
20.1 The Parabola and the Circle
20.2 The Ellipse and the Hyperbola
20.3 Solving Nonlinear Systems of Equations
20.4 Nonlinear Inequalities and Systems of Inequalities
Chapter 20 Review and Practice
Chapter 21: Sequence, Series, and the Binomial Theorem
21.1 Sequences
21.2 Arithmetic and Geometric Sequences
21.3 Series
21.4 Partial Sums of Arithmetic and Geometric Sequences
21.5 The Binomial Theorem
Chapter 21 Review and Practice
Appendices:
A. Tables
A.1 Table of Geometric Figures
A.2 Table of Percents, Decimals, and Fraction Equivalents
A.3 Table on Finding Common Percents of a Number
A.4 Table of Squares and Square Roots
A.5 Geometric Formulas
B. Review of Algebra Topics
B.1 Equations (Linear and Quadratic Solved by Factoring)
B.2 Mixture and Uniform Motion Problem Solving
B.3 Graphing
B.4 Polynomials and Factoring
B.5 Rational Expressions
C. Stretching and Compressing Graphs of Absolute Value Functions
D. An Introduction to Using a Graphing Utility
E. Solving Systems of Equations by Matrices
F. Solving Systems of Equations by Determinants
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