How do you find the common denominator for $$\frac{4}{x+8} + \frac{3}{x-5}$$ ?

The common denominator is $$(x+8)(x-5)$$ .

What is the result of simplifying $$\frac{6}{x-3} + \frac{4x}{x-1}$$ ?

The result is $$\frac{4x^2 - 6x - 6}{x^2 - 4x + 3}$$ .

What is the common denominator for $$\frac{2x}{x-5} + \frac{3x+2}{x+1}$$ ?

The common denominator is $$(x-5)(x+1)$$ .

How do you simplify $$\frac{2x}{x-5} + \frac{3x+2}{x+1}$$ ?

Combine the fractions over the common denominator and simplify the numerator.

What is the simplified form of $$\frac{2x}{x-5} + \frac{3x+2}{x+1}$$ ?

The simplified form is $$\frac{5x^2 - 11x - 10}{(x-5)(x+1)}$$ .

What is a polynomial?

A polynomial is an expression consisting of variables raised to whole number powers and coefficients.

What does it mean to simplify a rational expression?

To simplify a rational expression means to reduce it to its lowest terms by factoring and canceling common factors.

What is the result of simplifying $$\frac{6x}{5x-4} + \frac{6}{x+6}$$ ?

The result is $$\frac{6x^2 + 66x - 24}{5x^2 + 26x - 24}$$ .

What is the importance of checking for restrictions in rational expressions?

Restrictions are important because they identify values that make the denominator zero, which are not allowed.

What is the simplified form of $$\frac{12n^2 - 28n + 4}{(2n-5)(n+2)}$$ ?

The simplified form is $$\frac{12n^2 - 28n + 4}{(2n-5)(n+2)}$$ , ensuring no further simplification is possible.

Adding and Subtracting Rational Expressions Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a rational expression?

Back

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

2.

FLASHCARD QUESTION

Front

What is the first step in adding or subtracting rational expressions?

Back

The first step is to find a common denominator for the expressions.

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

What is the formula for adding two rational expressions?

Back

5.

FLASHCARD QUESTION

Front

Back

Find a common denominator, combine the numerators, and simplify the resulting expression.

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

What is the significance of factoring in adding rational expressions?

Back

Factoring helps to simplify the expressions and find common denominators more easily.

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

5 questions

Science Flashcard Bee (CLINCHER ROUND)

Flashcard

•

7th - 12th Grade

10 questions

Present Simple

Flashcard

•

7th - 12th Grade

12 questions

DNA Replication and Protein Synthesis

Flashcard

•

9th - 12th Grade

14 questions

History of Periodic Table of Elements

Flashcard

•

8th - 11th Grade

15 questions

Practice 3 FFA Basics

Flashcard

•

9th - 12th Grade

16 questions

MODALS IN THE PAST

Flashcard

•

9th - 12th Grade

10 questions

Marketing Mix - Place and Distribution

Flashcard

•

10th Grade - University

Popular Resources on Wayground

25 questions

Multiplication Facts

Quiz

•

5th Grade

15 questions

4:3 Model Multiplication of Decimals by Whole Numbers

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

20 questions

Christmas Trivia

Quiz

•

6th - 8th Grade

18 questions

Kids Christmas Trivia

Quiz

•

KG - 5th Grade

14 questions

Christmas Trivia

Quiz

•

5th Grade

15 questions

Solving Equations with Variables on Both Sides Review

Quiz

•

8th Grade

Discover more resources for Mathematics

15 questions

Solving Equations with Variables on Both Sides Review

Quiz

•

8th Grade

15 questions

scatter plots and trend lines

Quiz

•

8th Grade

20 questions

Slope from a Graph

Quiz

•

8th Grade

14 questions

8th U4L2 - Keeping Equations Balanced

Quiz

•

8th Grade

14 questions

finding slope from a graph

Quiz

•

8th Grade

20 questions

Scatter Plots and Line of Best Fit

Quiz

•

8th Grade

20 questions

Function or Not?

Quiz

•

8th Grade

22 questions

Slope intercept form from a graph

Quiz

•

8th Grade