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 RationalsComplex 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 EquationsMultiplying 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