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Adding and Subtracting Rationals
REVIEW
Review
Inverse Variation Function – A function that can be modeled with the equation y = k/x, also xy = k; where k does not equal zero.
Review
Inverse Variation Function - Graph
Review
Rational Functions - Asymptotes
Review
Rational Functions - Asymptotes
Review
Rational Functions – Sketching the graph
Draw all the asymptotesDetermine where it is positive and
negativeDetermine where it is ZeroSketch
Review
Rational Expressions – Multiplication / Division
Restrictions – When the denominator is zero
When dividing by zero
Simplify by canceling like terms (factors)
NEW MATERIAL
Addition Subtraction Rationals
Addition Subtraction Rationals
Addition Subtraction Rationals
Addition Subtraction Rationals
Addition Subtraction Rationals
Addition Subtraction Rationals
Addition Subtraction Rationals
Addition Subtraction Rationals
Addition Subtraction Rationals
Addition Subtraction Rationals
Complex Fractions – A fraction that has a fraction in the numerator or denominator
Addition Subtraction Rationals
Addition Subtraction Rationals
Addition Subtraction Rationals
Solving Rational Equations
Solving Rational Equations
Multiplying variables on both sides of an equal sign may introduce extraneous solutions.
Check for extraneous solutions by plugging into the original equation.
Solving Rational Equations
Solving Rational Equations
Solving Rational Equations - Practice
Solving Rational Equations
If rational functions are added in an equation, use the LCD to multiply all terms and “clear” the fraction
Solving Rational Equations – Example
Solving Rational Equations – Example
Solving Rational Equations - Practice
Solving Rational Equations – Example
Solving Rational Equations - Practice
Homework
9-5 Adding and Subtracting RationalsFirst Column
9-6 Solving Rational Expressions
First ColumnEnd at #38
Homework
9-5 Adding and Subtracting RationalsFirst Column