What is the first step in simplifying $$\frac{x^2+6x+9}{x^2-9}$$ ?

Factor the numerator and the denominator: $$\frac{(x+3)(x+3)}{(x+3)(x-3)}$$ .

What is the result of multiplying $$\frac{x^2-4}{x^2-9}$$ and $$\frac{x-3}{x+2}$$ ?

$$\frac{x-2}{x+3}$$ after simplification.

What is the importance of factoring in simplifying algebraic fractions?

Factoring allows you to identify and cancel common factors, making the fraction simpler.

What is the definition of a rational expression?

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

How do you identify the domain of a rational expression?

The domain is all real numbers except where the denominator equals zero.

What is the simplified form of $$\frac{x^2-5x+6}{x^2-4} \cdot \frac{x^2-3x+2}{x^2-9}$$ ?

$$\frac{(x-2)(x-1)}{(x+2)(x+3)}$$ .

What is the significance of the zero product property in algebra?

The zero product property states that if the product of two factors is zero, at least one of the factors must be zero.

What is the difference between a proper and improper fraction?

A proper fraction has a numerator smaller than the denominator, while an improper fraction has a numerator larger than or equal to the denominator.

What is the role of the least common denominator (LCD) in adding or subtracting rational expressions?

The LCD is used to rewrite fractions with different denominators so they can be combined.

Simplifying Algebraic Fractions Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is an algebraic fraction?

Back

An algebraic fraction is a fraction in which the numerator and/or the denominator are algebraic expressions.

2.

FLASHCARD QUESTION

Front

How do you simplify an algebraic fraction?

Back

To simplify an algebraic fraction, factor both the numerator and the denominator and then cancel any common factors.

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

What does it mean to multiply rational expressions?

Back

Multiplying rational expressions involves multiplying the numerators together and the denominators together.

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

What is a common factor in algebraic fractions?

Back

A common factor is a factor that appears in both the numerator and the denominator, which can be canceled out.

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

15 questions

Rhetoric and Persuasion

Flashcard

•

8th Grade

15 questions

Evolution Test Review

Flashcard

•

9th Grade

15 questions

Introduction to Physics

Flashcard

•

8th Grade

10 questions

Text Structure Review

Flashcard

•

6th - 8th Grade

10 questions

Output Devices

Flashcard

•

10th Grade

10 questions

Adding Integer Word problems

Flashcard

•

7th - 8th Grade

10 questions

PUBLIC FACILITIES

Flashcard

•

8th Grade

15 questions

Solving Quadratics by Factoring (a=1, GCF, and Diff. of Squares)

Flashcard

•

7th - 9th Grade

Popular Resources on Wayground

7 questions

History of Valentine's Day

Interactive video

•

4th Grade

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

15 questions

Valentine's Day Trivia

Quiz

•

3rd Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

Discover more resources for Mathematics

20 questions

Laws of Exponents

Quiz

•

8th Grade

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

20 questions

Exponent Properties

Quiz

•

9th Grade

16 questions

2022 Winter Olympics Medal Table

Passage

•

6th - 8th Grade

20 questions

Complementary Supplementary Vertical Adjacent Angles

Quiz

•

8th Grade

20 questions

One Step equations addition and subtraction

Quiz

•

5th - 8th Grade

12 questions

Volume of cones and cylinders

Quiz

•

8th Grade

20 questions

Slope from a Graph

Quiz

•

8th Grade