Pre calculus sec 1 4 rational expressions
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Pre-Calculus Sec 1.4 Rational Expressions PowerPoint PPT Presentation


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Pre-Calculus Sec 1.4 Rational Expressions. Objectives: To review domain To simplify rational expressions. Vocabulary. A quotient of two algebraic expressions is a fractional expression.

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Pre-Calculus Sec 1.4 Rational Expressions

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Pre calculus sec 1 4 rational expressions

Pre-CalculusSec 1.4 Rational Expressions

Objectives:

To review domain

To simplify rational expressions


Vocabulary

Vocabulary

A quotient of two algebraic expressions is a fractional expression.

A rational expression is a fractional expression where both the numerator and denominator are polynomials.


Domain

Domain

The domain of an algebraic expression is the set of real numbers that the variable is permitted to have.

Some basic expressions and their domains.


Ex 1 find the domain of each expression

Ex 1. Find the domain of each expression.

a)

b)

c)


Class work

Class Work

Find the domain of each expression.

1.2.


Simplifying rational expressions

Simplifying Rational Expressions

Ex 2. Simplify.

a)

b)


Pre calculus sec 1 4 rational expressions

Multiplying Rational Expressions

To multiply rational expressions, we use this property of fractions:


Pre calculus sec 1 4 rational expressions

Ex 3. Perform the indicated operation and simplfy.


Dividing rational expressions

Dividing Rational Expressions

To divide rational expressions, we use this property of fractions:


Pre calculus sec 1 4 rational expressions

Ex 4. Perform the indicated operation and simplify.


Class work1

Class Work

Multiply or divide and simplify.

3) 4)

5)


Adding subtracting rational expressions

Adding & Subtracting Rational Expressions

To add or subtract rational expressions, we first find a common denominator and then use this property of fractions:


Pre calculus sec 1 4 rational expressions

Ex 4. Perform the indicated operation & simplfy.

a)

b)


Class work2

Class Work

6)

7)


Compound fractions

Compound Fractions

A compound fraction is a fraction in which the numerator, the denominator, or both, are themselves fractional expressions.


Pre calculus sec 1 4 rational expressions

Ex 5. Simplify


Common errors to avoid

Common Errors to Avoid


Hw 4 p41 1 4 5 7 10 11 15 22 25 27 34 39 42 45 49 51

Hw #4 p41 1,4,5,7,10,11,1522,25,27,34,39,42,45,49,51


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