Algebra Foundations: Basic Math, Introductory and Intermediate Algebra, 1st edition

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Algebra Foundations: Basic Math, Introductory and Intermediate Algebra
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Overview
The Bittinger allinone, Algebra Foundations: Basic Math, Introductory Algebra, & Intermediate Algebra, 1st Edition offers everything needed to learn the full developmental math sequence in one flexible course solution. It continues the Bittinger tradition of objectivebased, guided learning, while integrating timely updates to proven pedagogy.
The Digital Update gives learners the best, uptodate features of the MyLab: Skill Builder for justintime personalized support, and a Mindset module to encourage a growth mindset.
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Table of contents
1. Whole Numbers
1.1 Standard Notation
1.2 Addition
1.3 Subtraction
1.4 Multiplication
1.5 Division
MidChapter Review
1.6 Rounding and Estimating; Order
1.7 Solving Equations
1.8 Applications and Problem Solving
Translating for Success
1.9 Exponential Notation and Order of Operations
Summary and Review
Test
2. Fraction Notation: Multiplication and Division
2.1 Factorizations
2.2 Divisibility
2.3 Fractions and Fraction Notation
2.4 Multiplication and Applications
2.5 Simplifying
MidChapter Review
2.6 Multiplying, Simplifying, and Applications
2.7 Division and Applications
Translating for Success
Summary and Review
Test
3. Fraction Notation and Mixed Numerals
3.1 Least Common Multiples
3.2 Addition and Applications
3.3 Subtraction, Order, and Applications
Translating for Success
3.4 Mixed Numerals
MidChapter Review
3.5 Addition and Subtraction Using Mixed Numerals; Applications
3.6 Multiplication and Division Using Mixed Numerals; Applications
Translating for Success
3.7 Order of Operations, Complex Fractions, and Estimation
Summary and Review
Test
Cumulative Review
4. Decimal Notation
4.1 Decimal Notation, Order, and Rounding
4.2 Addition and Subtraction
4.3 Multiplication
4.4 Division
MidChapter Review
4.5 Converting from Fraction Notation
to Decimal Notation
4.6 Estimating
4.7 Applications and Problem Solving
Translating for Success
Summary and Review
Test
Cumulative Review
5. Ratio and Proportion
5.1 Introduction to Ratios
5.2 Rates and Unit Prices
5.3 Proportions
MidChapter Review
5.4 Applications of Proportions
Translating for Success
5.5 Geometric Applications
Summary and Review
Test
Cumulative Review
6. Percent Notation
6.1 Percent Notation
6.2 Percent Notation and Fraction Notation
6.3 Solving Percent Problems Using Percent Equations
6.4 Solving Percent Problems Using Proportions
MidChapter Review
6.5 Applications of Percent
Translating for Success
6.6 Sales Tax, Commission, and Discount
6.7 Simple Interest and Compound Interest; Credit Cards
Summary and Review
Test
Cumulative Review
7. Data, Graphs, and Statistics
7.1 Averages, Medians, and Modes
7.2 Interpreting Data from Tables and Graphs
MidChapter Review
7.3 Interpreting and Drawing Bar Graphs and Line Graphs
7.4 Interpreting and Drawing Circle Graphs
Translating for Success
Summary and Review
Test
Cumulative Review
8. Measurement
8.1 Linear Measures: American Units
8.2 Linear Measures: The Metric System
8.3 Converting Between American Units and Metric Units
MidChapter Review
8.4 Weight and Mass; Medical Applications
8.5 Capacity: Medical Applications
8.6 Time and Temperature
8.7 Converting Units of Area
Translating for Success
Summary and Review
Test
Cumulative Review
9. Geometry
9.1 Perimeter
9.2 Area
9.3 Circles
MidChapter Review
9.4 Volume
9.5 Angles and Triangles
9.6 Square Roots and the Pythagorean Theorem
Translating for Success
Summary and Review
Test
Cumulative Review
10. Introduction to Real Numbers and Algebraic Expressions
10.1 Introduction to Algebra
10.2 The Real Numbers
10.3 Addition of Real Numbers
10.4 Subtraction of Real Numbers
MidChapter Review
10.5 Multiplication of Real Numbers
10.6 Division of Real Numbers
10.7 Properties of Real Numbers
10.8 Simplifying Expressions;
Order of Operations
Summary and Review
Test
11. Solving Equations and Inequalities
11.1 Solving Equations: The Addition Principle
11.2 Solving Equations: The Multiplication Principle
11.3 Using the Principles Together
11.4 Formulas
MidChapter Review
11.5 Applications of Percent
11.6 Applications and Problem Solving
Translating for Success
11.7 Solving Inequalities
11.8 Applications and Problem Solving with Inequalities
Summary and Review
Test
Cumulative Review
12. Graphs of Linear Equations
12.1 Introduction to Graphing
12.2 Graphing Linear Equations
12.3 More with Graphing and Intercepts
Visualizing for Success
MidChapter Review
12.4 Slope and Applications
Summary and Review
Test
Cumulative Review
13. Polynomials: Operations
13.1 Integers as Exponents
13.2 Exponents and Scientific Notation
13.3 Introduction to Polynomials
13.4 Addition and Subtraction of Polynomials
MidChapter Review
13.5 Multiplication of Polynomials
13.6 Special Products
Visualizing for Success
13.7 Operations with Polynomials in Several Variables
13.8 Division of Polynomials
Summary and Review
Test
Cumulative Review
14. Polynomials: Factoring
14.1 Introduction to Factoring
14.2 Factoring Trinomials of the Type x^{2} + bx + c
14.3 Factoring ax^{2} + bx + c, a ≠ 1: The FOIL Method
14.4 Factoring ax^{2} + bx + c, a ≠ 1: The acMethod
MidChapter Review
14.5 Factoring Trinomial Squares and Differences of Squares
14.6 Factoring Sums or Differences of Cubes
14.7 Factoring: A General Strategy
14.8 Solving Quadratic Equations by Factoring
14.9 Applications of Quadratic Equations
Translating for Success
Summary and Review
Test
Cumulative Review
15. Rational Expressions and Equations
15.1 Multiplying and Simplifying Rational Expressions
15.2 Division and Reciprocals
15.3 Least Common Multiples and Denominators
15.4 Adding Rational Expressions
15.5 Subtracting Rational Expressions
MidChapter Review
15.6 Complex Rational Expressions
15.7 Solving Rational Equations
15.8 Applications Using Rational Equations and Proportions
Translating for Success
15.9 Variation and Applications
Summary and Review
Test
Cumulative Review
16. Graphs, Functions, and Applications
16.1 Functions and Graphs
16.2 Finding Domain and Range
MidChapter Review
16.3 Linear Functions: Graphs and Slope
16.4 More on Graphing Linear Equations
Visualizing for Success
16.5 Finding Equations of Lines; Applications
Summary and Review
Test
Cumulative Review
17. Systems of Equations
17.1 Systems of Equations in Two Variables
17.2 Solving by Substitution
17.3 Solving by Elimination
17.4 Solving Applied Problems: Two Equations
Translating for Success
MidChapter Review
17.5 Systems of Equations in Three Variables
17.6 Solving Applied Problems: Three Equations
Summary and Review
Test
Cumulative Review
18. More on Inequalities
18.1 Sets, Inequalities, and Interval Notation
Translating for Success
18.2 Intersections, Unions, and Compound Inequalities
MidChapter Review
18.3 AbsoluteValue Equations and inequalities
18.4 Systems of Inequalities in Two Variables
Visualizing for Success
Summary and Review
Test
Cumulative Review
19. Radical Expressions, Equations, and Functions
19.1 Radical Expressions and Functions
19.2 Rational Numbers as Exponents
19.3 Simplifying Radical Expressions
19.4 Addition, Subtraction, and More Multiplication
MidChapter Review
19.5 More on Division of Radical Expressions
19.6 Solving Radical Equations
19.7 Applications Involving Powers and Roots
Translating for Success
19.8 The Complex Numbers
Summary and Review
Test
Cumulative Review
20. Quadratic Equations and Functions
20.1 The Basics of Solving Quadratic Equations
20.2 The Quadratic Formula
20.3 Applications Involving Quadratic Equations
Translating for Success
20.4 More on Quadratic Equations
MidChapter Review
20.5 Graphing f(x) = a(x  h)^{2} + k
20.6 Graphing f(x) = ax^{2} + bx + c
Visualizing for Success
20.7 Mathematical Modeling with Quadratic functions
20.8 Polynomial Inequalities and Rational Inequalities
Summary and Review
Test
Cumulative Review
21. Exponential Functions and Logarithmic Functions
21.1 Exponential Functions
21.2 Composite Functions and Inverse Functions
21.3 Logarithmic Functions
21.4 Properties of Logarithmic Functions
MidChapter Review
21.5 Natural Logarithmic Functions
Visualizing for Success
21.6 Solving Exponential Equations and Logarithmic Equations
21.7 Mathematical Modeling with Exponential Functions and Logarithmic Functions
Translating For Success
Summary and Review
Test
Cumulative Review
Appendices
A. Synthetic Division
B. Determinants and Cramer’s Rule
C. Elimination Using Matrices
D. The Algebra of Functions
E. Distance, Midpoints, and Circles
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