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Description ~ Materials ~ Attendance ~ Homework ~ Quizzes ~ Tests/keys ~ Grading ~ Final Exam ~ Classroom Conduct ~ Assistance ~ Calendar

Review of Rationals (Ch 11)

Some topics will have pencasts related to them, these will be links to the actual pencast on the Livescribe website.

11.1 Rational Expressions and Functions: Multiplying and Dividing

Key points:

• evaluate rational functions
• find the domain of a rational function
• interpret information given by the graph of a rational function
• simplify rational expressions- and opposite functions
• multiply rational expressions
• divide rational expressions

11.2 Adding and Subtracting Rational Expressions

Key points:

• adding rational expressions with the same denominator
• subtracting rational expressions with the same denominator
• finding the least common denominator EX1, EX 2
• add and subtract rational expressions with different denominators
• add and subtract rational expressions with opposite denominators

11.3 Complex Rational Expressions

Key points:

• SImplify rational expressions by multiplying by one
• simplify complex rational expressions by dividing

11.4 Division of Polynomials

Key points:

• divide a polynomial by a monomial
• divide a polynomial by a polynomial containing more than one term - using long division

11.5 Synthetic Division and The Remainder Theorem

Key points:

• divide polynomials using synthetic division, EX 2 (divisor must be linear) - long division vs synthetic division, EX 2, EX 3
• evaluate a polynomial function using The Remainder Theorem, EX 2
• show that a number is a solution to a polynomial equation using The Remainder Theorem, then find the rest of the solutions EX 1, EX 2

11.6 Rational Equations

Key points:

• solve rational equations
• solve problems involving rational functions that model applied situations
  
  

11.7 Formulas and Applications of Rational Equations

Key points:

• Solve a formula with a rational expression for a variable
• solve business problems involving average cost
• solve problems involving motion EX 1, EX 2, EX 3, EX 4
• solve problems involving work

11.8 Modeling Using Variation- not on the test

Key points:

• Solve direct variation problems, EX 2
• solve inverse variation problems, EX 2
• solve combined variation problems
• solve problems involving joint variation