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

12 questions

تمييز العدد 1

Flashcard

•

8th Grade

12 questions

Fun Brain Riddles and Teasers Flashcard

Flashcard

•

8th Grade

9 questions

Evolution and Genetic Variation

Flashcard

•

8th Grade

10 questions

Mastering Linear Equations

Flashcard

•

9th Grade

9 questions

Body Parts and Adjectives for Description

Flashcard

•

6th - 8th Grade

11 questions

Identify Parts of an Algebraic Expression and Evaluate

Flashcard

•

9th Grade

10 questions

Contestability in History

Flashcard

•

8th Grade

12 questions

Data Transmission

Flashcard

•

9th Grade

Popular Resources on Wayground

5 questions

This is not a...winter edition (Drawing game)

Quiz

•

1st - 5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

10 questions

Identify Iconic Christmas Movie Scenes

Interactive video

•

6th - 10th Grade

20 questions

Christmas Trivia

Quiz

•

6th - 8th Grade

18 questions

Kids Christmas Trivia

Quiz

•

KG - 5th Grade

11 questions

How well do you know your Christmas Characters?

Lesson

•

3rd Grade

14 questions

Christmas Trivia

Quiz

•

5th Grade

20 questions

How the Grinch Stole Christmas

Quiz

•

5th Grade

Discover more resources for Mathematics

10 questions

Identify Iconic Christmas Movie Scenes

Interactive video

•

6th - 10th Grade

15 questions

Solving Equations with Variables on Both Sides Review

Quiz

•

8th Grade

20 questions

Solving Systems of Equations by Graphing

Quiz

•

8th Grade

25 questions

Christmas Trivia

Quiz

•

8th Grade

20 questions

Scatter Plots and Line of Best Fit

Quiz

•

8th Grade

12 questions

8th U4L11 On Both of the Lines

Quiz

•

8th Grade

33 questions

Algebra 1 Semester 1 Final 2025

Quiz

•

8th - 10th Grade

10 questions

Exploring Global Holiday Traditions

Interactive video

•

6th - 10th Grade