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What is included with this book?
Real Numbers and Their Basic Properties | |
Real numbers and their graphs | |
Fractions | |
Exponents and order of operations | |
Adding and subtracting real numbers | |
Multiplying and dividing real numbers | |
Algebraic expressions | |
Properties of real numbers | |
Projects | |
Chapter summary | |
Test | |
Equations and Inequalities | |
Solving basic linear equations in one variable | |
Solving more linear equations in one variable | |
Simplifying expressions to solve linear equations in one variable | |
Formulas | |
Introduction to problem solving | |
Motion and mixed problems | |
Solving linear inequalities in one variable | |
Projects | |
Chapter summary | |
Chapter test Cumulative review exercises | |
Graphing and Solving Systems of Linear Equations and Linear Inequalities | |
The rectangular coordinate system | |
Graphing linear equations | |
Solving systems of linear equations by graphing | |
Solving systems of linear equations by substitution | |
Solving systems of linear equations by elimination (addition) | |
Applications of systems of linear equations | |
Solving Systems of linear inequalities | |
Projects | |
Chapter summary | |
Chapter test | |
Polynomials | |
Natural-number exponents | |
Zero and negative-integral exponents | |
Scientific notation | |
Polynomials and Polynomial Functions | |
Adding and subtracting polynomials | |
Multiplying polynomials | |
Dividing polynomials by monomials | |
Dividing polynomials by polynomials | |
Projects | |
Chapter summary | |
Chapter test Cumulative review exercises | |
Factoring Polynomials | |
Factoring out the greatest common factor | |
Factoring by grouping | |
Factoring the difference of two squares | |
Factoring trinomials with leading coefficients of | |
Factoring general trinomials | |
Factoring the sum and difference of two cubes | |
Summary of factoring techniques | |
Solving equations by factoring | |
Problem solving | |
Projects | |
Chapter summary | |
Chapter test | |
Proportions and Rational Expressions | |
Simplifying rational expressions | |
Multiplying and dividing rational expressions | |
Adding and subtracting rational expressions | |
Complex fractions | |
Solving equations that contain rational expressions | |
Applications of equations that contain rational expressions | |
Ratios | |
Proportions and similar triangles | |
Projects | |
Chapter summary | |
Chapter test Cumulative review exercises | |
More Equations, Inequalities, and Factoring | |
Review of equations and inequalities | |
Equations containing absolute value | |
Inequalities containing absolute values | |
Review of factoring | |
Review of rational expressions | |
Synthetic division | |
Projects | |
Chapter summary | |
Test | |
Writing Equations of Lines, Functions, and Variation | |
A review of the rectangular coordinate system | |
Slope of a nonvertical line | |
Writing equations of lines | |
A review of functions | |
Graphs of nonlinear functions | |
Variation | |
Projects | |
Chapter summary | |
Test Cumulative review exercises | |
Radicals and Rational Exponents | |
Radical expressions | |
Applications of radicals | |
Rational exponents | |
Simplifying and combining radical expressions | |
Multiplying and dividing radical expressions | |
Radical equations | |
Complex numbers | |
Projects | |
Chapter summary | |
Chapter test | |
Quadratic Functions, Inequalities and Algebra of Functions | |
Solving quadratic equations by completing the square | |
Solving quadratic equations by the quadratic formula | |
The discriminant and equations that can be written in quadratic form | |
Graphs of quadratic functions | |
Quadratic and other nonlinear inequalities | |
Algebra and composition of functions | |
Inverses of functions | |
Projects | |
Chapter summary | |
Chapter test Cumulative review exercises | |
Exponential and Logarithmic Functions | |
Exponential functions | |
Base- exponential functions | |
Logarithmic functions | |
Base- logarithms | |
Properties of logarithms | |
Exponential and logarithmic equations | |
Projects | |
Chapter summary | |
Chapter test | |
Conic Sections and More Graphing | |
The circle and the parabola | |
The ellipse | |
The hyperbola | |
Piecewise-defined functions and the greatest integer function | |
Projects | |
Chapter summary | |
Chapter test Cumulative review exercises | |
More on Systems of Equations and Inequalities | |
Solutions of two equations in two variables | |
Solutions of three equations in three variables | |
Solution by matrices | |
Solution by determinants | |
Solving simultaneous second-degree equations and inequalities | |
Projects | |
Chapter summary | |
Chapter test | |
Miscellaneous Topics | |
The binomial theorem | |
The nth term of a binomial expansion | |
Arithmetic sequences | |
Geometric sequences | |
Infinite geometric sequences | |
Permutations and combinations | |
Probability | |
Projects | |
Chapter summary | |
Chapter test Cumulative review exercises | |
Symmetries of graphs | |
Tables | |
Powers and roots | |
Base-10 logarithms | |
Base-e logarithms | |
Answers to Selected Exercises | |
Index | |
Index of Applications | |
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