Applied Algebra C.
Algebra
1. Integration, Applications, Connections.
Glencoe.
McGraw-Hill. 1999
Selected topics.
Chapter 7.
Solving Linear Inequalities.
Linear Inequality is a linear sentence of the form ax + b > cx + d . This chapter emphasizes how to solve linear sentences. A basic property needed in working with many linear sentences is a Distributive Property. The fundamental idea in solving is to change the given sentence into a simpler sentence.
Lesson 1. Solving Inequalities by Addition and Subtraction. Class Notes 1. Class Notes 2. Self Check Quiz.
Lesson 2. Solving Inequalities by Using Multiplication and Division. Self Check Quiz.
Lesson 3. Solving Multi-Step Inequalities. Self Check Quiz.
Lesson 4. Solving Compound Inequalities. Self Check Quiz.
Lesson 5. Compound Events. Self Check Quiz.
Lesson 6. Solving Open Sentences Involving Absolute Value. Self Check Quiz.
Lesson 7. Box-and-Whisker Plots. Self Check Quiz.
Lesson 8. Graphing Inequalities in Two Variables. Self Check Quiz.
Chapter 8.
Solving Systems of Linear Equations and
Inequalities.
When two or more sentences are joined by the word and, the compound sentence is called a system. Solving system of equations has always had many applications, and new ones have been developed in recent years. Gauss was trying to calculate the orbits of planets and asteroids from the sighting made by a few astronomers. The Russian mathematician Kantorovich was the first to announce that large systems might have applications for production planning in industry. George Stigler used systems to determine a best diet for the least cost.
Lesson 1. Graphing Systems of Equations. Class Notes 1. Self Check Quiz.
Lesson 2. Substitution. Self Check Quiz.
Lesson 3. Elimination Using Addition and Subtraction. Self Check Quiz.
Lesson 4. Elimination Using Multiplication. Self Check Quiz.
Lesson 5. Graphing Systems of Inequalities. Self Check Quiz.
Chapter 9.
Exploring Polynomials.
A term is a number, a product of numbers and variables, or a product of powers of numbers and variables. Polynomials are sums of terms and are classified by the number of terms. This chapter emphasizes where money is invested at the same rate but for different length of times. It also covers the use of polynomials in some formulas for areas, acceleration, and counting.
Lesson 1. Multiplying Monomials. Self Check Quiz.
Lesson 2. Dividing Monomials. Self Check Quiz.
Lesson 3. Scientific Notation. Self Check Quiz.
Lesson 4. Polynomials. Self Check Quiz.
Lesson 5. Adding and Subtraction Polynomials. Self Check Quiz.
Lesson 6. Multiplying a Polynomial by a Monomial. Self Check Quiz.
Lesson 7. Multiplying Polynomials. Self Check Quiz.
Lesson 8. Special Products. Self Check Quiz.
