What is the significance of factoring in rational expressions?

Factoring is crucial in simplifying, adding, subtracting, and dividing rational expressions.

What is a hole in a rational expression?

A hole occurs in a rational expression at values that make both the numerator and denominator zero.

What is the vertical asymptote of a rational expression?

The vertical asymptote occurs at values that make the denominator zero but not the numerator.

How do you determine the domain of a rational expression?

The domain is all real numbers except for values that make the denominator zero.

What is the process for simplifying $$\frac{x^2+6x-7}{x^2-49}$$ ?

Factor to get $$\frac{(x+7)(x-1)}{(x+7)(x-7)}$$ , then cancel $$(x+7)$$ to simplify to $$\frac{x-1}{x-7}$$ .

What is the process for multiplying $$\frac{4}{x+2}$$ and $$\frac{x+3}{4}$$ ?

Multiply to get $$\frac{4(x+3)}{4(x+2)}$$ , then simplify to $$\frac{x+3}{x+2}$$ .

What is the result of dividing $$\frac{x^2-1}{x+1}$$ by $$\frac{x-1}{x^2}$$ ?

Multiply by the reciprocal to get $$\frac{x^2-1}{x+1} \cdot \frac{x^2}{x-1}$$ , then simplify to $$\frac{x(x+1)}{x+1}$$ , resulting in $$x$$ .

What is the result of multiplying $$\frac{x+2}{4}$$ and $$\frac{4(x+1)}{x+3}$$ ?

Multiply to get $$\frac{(x+2)(4)(x+1)}{4(x+3)}$$ , then simplify to $$\frac{(x+2)(x+1)}{(x+3)}$$ .

Rational Expressions

Flashcard

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSA.APR.D.6, HSA.APR.D.7, HSF-IF.C.7D

Standards-aligned

Wayground Content

FREE Resource

Student preview

15 questions

Show all answers

FLASHCARD QUESTION

Front

What is a rational expression?

Back

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

FLASHCARD QUESTION

Front

How do you simplify a rational expression?

Back

To simplify a rational expression, factor both the numerator and the denominator and then cancel any common factors.

Tags

CCSS.HSA.APR.D.6

FLASHCARD QUESTION

Front

What is the first step in dividing rational expressions?

Back

The first step is to multiply by the reciprocal of the divisor.

Tags

CCSS.HSA.APR.D.6

FLASHCARD QUESTION

Front

What does it mean to multiply rational expressions?

Back

To multiply rational expressions, multiply the numerators together and the denominators together, then simplify if possible.

Tags

CCSS.HSA.APR.D.7

FLASHCARD QUESTION

Front

What is the formula for adding rational expressions with different denominators?

Back

To add rational expressions with different denominators, find a common denominator, rewrite each expression, and then combine the numerators.

Tags

CCSS.HSA.APR.D.7

FLASHCARD QUESTION

Front

What is the difference between a proper and improper rational expression?

Back

A proper rational expression has a degree of the numerator less than the degree of the denominator, while an improper rational expression has a degree of the numerator greater than or equal to the degree of the denominator.

Tags

CCSS.HSA.APR.D.6

FLASHCARD QUESTION

Front

How do you find the least common denominator (LCD) of two rational expressions?

Back

The least common denominator is found by determining the least common multiple of the denominators.

Tags

CCSS.HSA.APR.D.7

Create a free account and access millions of resources

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

7 questions

2025 S3/S4 CCKS Nutri in Humans Pt 2 Hormones

Flashcard

•

8th Grade - University

10 questions

DNA Flashcards

Flashcard

•

9th - 12th Grade

15 questions

Flashcard - Unit Conversion and Practical Use

Flashcard

•

KG - University

7 questions

Places

Flashcard

•

KG - University

10 questions

Statistical Estimates & Hypothesis

Flashcard

•

9th - 12th Grade

Popular Resources on Wayground

5 questions

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

Quiz

•

1st - 5th Grade

15 questions

4:3 Model Multiplication of Decimals by Whole Numbers

Quiz

•

5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

10 questions

The Best Christmas Pageant Ever Chapters 1 & 2

Quiz

•

4th Grade

12 questions

Unit 4 Review Day

Quiz

•

3rd 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

Discover more resources for Mathematics

10 questions

Identify Iconic Christmas Movie Scenes

Interactive video

•

6th - 10th Grade

10 questions

Guess the Christmas Movie by the Scene Challenge

Interactive video

•

6th - 10th Grade

20 questions

Triangle Congruence Theorems

Quiz

•

9th Grade

20 questions

Solving One-Step Equations

Quiz

•

6th - 9th Grade

15 questions

Graphing Systems of Equations

Quiz

•

8th - 9th Grade

11 questions

Solve Systems of Equations and Inequalities

Quiz

•

9th - 12th Grade

20 questions

Function or Not a Function

Quiz

•

8th - 9th Grade

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade