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Digital file of Intermediate Algebra with Integrated Review and worksheets plus NEW MyLab Math with Pearson eText, Access Card Package, 12th Edition for sale
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Category : Higher Education
Table of Contents
Note that the topics listed within each chapter below are objectives available in MyMathLab only, not in the textbook. For each of these objectives, there is just-in-time remediation in the form of videos, worksheets, practice, and assessment in the Integrated Review MyMathLab course only.
Review of the Real Number System
R.1 Basic Concepts
R.2 Operations on Real Numbers
R.3 Exponents, Roots, and Order of Operations
R.4 Properties
Chapter R Summary
Chapter R Test
1. Linear Equations, Inequalities, and Applications
- Use the distributive property
- Solve applies problems involving algebraic expressions
- Using the rules for order of operations
- Know the meanings of inequality symbols
- Solve applied problems involving inequalities
- Classify numbers and graph them on number lines
- Find the additive inverse of a real number
- Find the absolute value of a real number
- Interpret meaning of real numbers from a table of data
1.1 Linear Equations in One Variable
1.2 Formulas and Percent
1.3 Applications of Linear Equations
1.4 Further Applications of Linear Equations
1.5 Linear Inequalities in One Variable
1.6 Set Operations and Compound Inequalities
1.7 Absolute Value Equations and Inequalities
Chapter 1 Summary
Chapter 1 Review Exercises
Chapter 1 Mixed Review Exercises
Chapter 1 Test
2. Linear Equations, Graphs, and Functions
- Decide whether a given ordered pair is a solution of a given equation
- Complete ordered pairs for a given equation
2.1 Linear Equations in Two Variables
2.2 The Slope of a Line
2.3 Writing Equations of Lines
2.4 Linear Inequalities in Two Variables
2.5 Introduction to Relations Functions
2.6 Function Notation and Linear Functions
Chapter 2 Summary
Chapter 2 Review Exercises
Chapter 2 Mixed Review Exercises
Chapter 2 Test
Chapters R--2 Cumulative Review Exercises
3. Systems of Linear Equations
- Evaluate algebraic expressions, given values for the variables
3.1 Systems of Linear Equations in Two Variables
3.2 Systems of Linear Equations in Three Variables
3.3 Applications of Systems of Linear Equations
Chapter 3 Summary
Chapter 3 Review Exercises
Chapter 3 Mixed Review Exercises
Chapter 3 Test
Chapters R--3 Cumulative Review Exercises
4. Exponents, Polynomials, and Polynomial Functions
- Use exponents
4.1 Integer Exponents and Scientific Notation
4.2 Adding and Subtracting Polynomials
4.3 Polynomial Functions, Graphs, and Composition
4.4 Multiplying Polynomials
4.5 Dividing Polynomials
Chapter 4 Summary
Chapter 4 Review Exercises
Chapter 4 Mixed Review Exercises
Chapter 4 Test
Chapters R--4 Cumulative Review Exercises
5. Factoring
- Multiply any two polynomials
- Multiply binomials
5.1 Greatest Common Factors and Factoring by Grouping
5.2 Factoring Trinomials
5.3 Special Factoring
5.4 A General Approach to Factoring
5.5 Solving Equations by the Zero-Factor Property
Chapter 5 Summary
Chapter 5 Review Exercises
Chapter 5 Mixed Review exercises
Chapter 5 Test
Chapters R--5 Cumulative Review Exercises
6. Rational Expressions and Functions
- Write a fraction in lowest terms using a common factor
- Multiply signed fractions
- Divide signed fractions
- Add and subtract unlike fractions
- Rewrite mixed numbers as improper fractions, or the reverse
- Solve application problems containing mixed numbers
6.1 Rational Expressions and Functions; Multiplying and Dividing
6.2 Adding and Subtracting Rational Expressions
6.3 Complex Fractions
6.4 Equations with Rational Expressions and Graphs
6.5 Applications of Rational Expressions
6.6 Variation
Chapter 6 Summary
Chapter 6 Review Exercises
Chapter 6 Mixed Review Exercises
Chapter 6 Test
Chapters R--6 Cumulative Review Exercises
7. Roots, Radicals, and Root Functions
- Find square roots
7.1 Radical Expressions and Graphs
7.2 Rational Exponents
7.3 Simplifying Radicals, the Distance Formula, and Circles
7.4 Adding and Subtracting Radical Expressions
7.5 Multiplying and Dividing Radical Expressions
7.6 Solving Equations with Radicals
7.7 Complex Numbers
Chapter 7 Summary
Chapter 7 Review Exercises
Chapter 7 Mixed Review Exercises
Chapter 7 Test
Chapters R--7 Cumulative Review Exercises
8. Quadratic Equations, Inequalities, and Functions
- Simplify expressions
8.1 The Square Root Property and Completing the Square
8.2 The Quadratic Formula
8.3 Equations Quadratic in Form
8.4 Formulas and Further Applications
8.5 Graphs of Quadratic Functions
8.6 More about Parabolas and Their Applications
8.7 Polynomial and Radial Inequalities
Chapter 8 Summary
Chapter 8 Review Exercises
Chapter 8 Mixed Review Exercises
Chapter 8 Test
Chapters R--8 Cumulative Review Exercises
9. Inverse, Exponential, and Logarithmic Functions
- Understand the definition of a function
- Find domain and range
- Identify functions defined by graphs and equations
- Use function notation
9.1 Inverse Functions
9.2 Exponential Functions
9.3 Logarithmic Functions
9.4 Properties of Logarithms
9.5 Common and Natural Logarithms
9.6 Exponential and Logarithmic Equations; Further Applications
Chapter 9 Summary
Chapter 9 Review Exercises
Chapter 9 Mixed Review Exercises
Chapter 9 Test
Chapters R--9 Cumulative Review Exercises
10. Nonlinear Functions, Conic Sections, and Nonlinear Systems
- Graph functions defined by radical expressions
- Solve linear systems by substitution
- Solve linear systems by elimination
- Graph linear inequalities in two variables
10.1 Additional Graphs of Functions
10.2 The Circle and the Ellipse
10.3 The Hyperbola and Functions Defined by Radicals
10.4 Nonlinear Systems of Equations
10.5 Second-Degree Inequalities and Systems of Inequalities
Chapter 10 Summary
Chapter 10 Review Exercises
Chapter 10 Test
Chapters 1--10 Cumulative Review Exercises
11. Sequences and Series
- Use inductive reasoning to analyze patterns
- Recognize and evaluate polynomial functions
11.1 Sequences and Series
11.2 Arithmetic Sequences
11.3 Geometric Sequences
11.4 The Binomial Theorem
Chapter 11 Summary
Chapter 11 Review Exercises
Chapter 11 Test
Chapters 1--11 Cumulative Review Exercises
Appendix A Synthetic Division
Appendix B Determinants and Cramer's Rule
Answers to Selected Exercises
Glossary
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