 # Math 140 - College Algebra

 Chapter 1: Functions, Graphs, and Models; Linear Functions Section Topic 1.1 Functions and Models 1.1.50 Modeling 1.1.64 Modeling 1.2 Graphs and Functions 1.3 Linear Functions 1.3.44 Average Rate of Change 1.3.62 Marginal Profit 1.4 Equations of Lines 1.4.52 Equation of a Line 1.4.62 Equation of a Line Chapter 2: Linear Models, Equations, and Inequalities Section Topic 2.1 Algebraic and Graphical Solution of Linear Equations 2.1.68 Solving Algebraically and Graphically 2.1.80 Solve for the Indicated Variable 2.2 Fitting Lines to Data Points: Modeling Linear Functions 2.2.34 Line of Best Fit 2.2.44 Line of Best Fit 2.3 Systems of Linear Equations in Two Variables 2.3.44 Solve a System in Two Variables 2.3.58 Solve a System in Two Variables 2.4 Solution of Linear Inequalities 2.4.38 Solve a Linear Inequality 2.4.52 Solve a Linear Inequality Chapter 3: Quadratic, Piecewise-Defined, and Power Functions Section Topic 3.1 Quadratic Functions, Parabolas3.1.52 Vertex Formula3.1.72 Vertex Formula 3.2 Solving Quadratic Equations3.2.66 Solving Quadratic Equations3.2.74 Solving Quadratic Equations 3.3 Piecewise-Defined Functions and Power Functions3.3.48 Piecewise-Defined Function3.3.52 Power Function 3.4 Quadratic and Power Models Chapter 4: Additional Topics with Functions Section Topic 4.1 Transformations of Graphs and Symmetry4.1.64 Transforming Graphs4.1.70 Transforming Graphs 4.2 Combining Functions; Composite Functions4.2.30 Combining Functions4.2.48 Composite Functions 4.3 One-to-One and Inverse Functions4.3.32 Inverse Functions4.3.44 One-to-One and Inverse Functions 4.4 Additional Equations and Inequalities4.4.50 Quadratic Inequality4.4.60 Quadratic Inequality Chapter 5: Exponential and Logarithmic Functions Section Topic 5.1 Exponential Functions5.1.50 Exponential Function5.1.54 Exponential Function 5.2 Logarithmic Functions; Properties of Logarithms5.2.44 Logarithmic Function5.2.48 Logarithmic Function 5.3 Exponential and Logarithmic Functions5.3.52 Doubling Time5.3.74 Change-of-Base Formula 5.4 Exponential and Logarithmic Functions5.4.20 Exponential Model5.4.32 Exponential Regression 5.5 Exponential Functions and Investing5.5.30 Time to Double5.5.42 Future Value 5.6 Annuities; Loan Repayment 5.7 Logistic and Gompertz Functions Chapter 6:  Higher-Degree Polynomial and Rational Functions Section Topic 6.1 Higher-Degree Polynomial Functions6.1.40 Cubic Functions6.1.46 Local Extrema 6.2 Modeling with Cubic and Quartic Functions 6.3 Solution of Polynomial Equations6.3.34 Factoring and the Root Method 6.4 Polynomial Equations and Continued; Fundamental Theorem of Algebra6.4.34 Synthetic Division6.4.36 Synthetic Division 6.5 Rational Functions and Rational Equations6.5.38 Rational Functions6.5.52 Rational Functions 6.6 Polynomial and Rational Inequalities Chapter 7: Systems of Equations and Matrices Section Topic 7.1 Systems of Linear Equations in Three Variables7.1.22 Solving Systems in Three Variables7.1.32 Solving Systems in Three Variables 7.2 Matrix Solution of Systems of Linear Equations 7.3 Matrix Operations 7.4 Inverse Matrices; Matrix Equations 7.5 Determinants and Cramer's Rule 7.6 Systems of Nonlinear Equations7.6.30 Systems of Nonlinear Equations7.6.36 Systems of Nonlinear Equations Chapter 8: Special Topics in Algebra Section Topic 8.1 Systems of Inequalities 8.2 Linear Programming: Graphical Methods 8.3 Sequences and Discrete Functions8.3.8 Sequences8.3.14 Sequences 8.4 8.5 Preparing for Calculus 8.6 The Binomial Theorem 8.7 Conic Sections: Circles and Parabolas 8.8 Conic Sections: Ellipses and Hyperbolas

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