What is the common denominator of the expressions $$\frac{2x}{x+1}$$ and $$\frac{1}{x^2-1}$$ ?

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

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

The simplified form is $$\frac{12n^2 - 28n + 4}{(2n-5)(n+2)}$$ .

What is the result of adding $$\frac{1}{3} + \frac{1}{6}$$ ?

The result is $$\frac{1}{2}$$ .

What is the formula for subtracting rational expressions?

To subtract rational expressions, find a common denominator, rewrite each expression with that denominator, and then subtract the numerators.

What is the common denominator of $$\frac{3}{x}$$ and $$\frac{4}{x^2}$$ ?

The common denominator is $$x^2$$ .

How do you simplify $$\frac{(x^2 - 1)(x + 2)}{(x - 1)(x + 1)}$$ ?

Factor the numerator and cancel common factors to simplify to $$\frac{(x + 2)(x - 1)}{(x + 1)}$$ .

What is the result of $$\frac{5x}{2} - \frac{3x}{4}$$ ?

The result is $$\frac{7x}{4}$$ .

What is the definition of a polynomial?

A polynomial is an expression consisting of variables raised to non-negative integer powers and coefficients.

What is the process of factoring a polynomial?

Factoring a polynomial involves rewriting it as a product of its factors.

What is the significance of the degree of a polynomial?

The degree of a polynomial indicates the highest power of the variable in the expression and determines its behavior.

What is the result of simplifying $$\frac{-17x - 12y}{15x}$$ ?

The expression is already in its simplest form.

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

How do you find a common denominator for rational expressions?

Back

To find a common denominator, identify the least common multiple (LCM) of the denominators of the rational expressions.

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

What is the first step in adding rational expressions?

Back

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

5.

FLASHCARD QUESTION

Front

What does it mean to simplify a rational expression?

Back

Simplifying a rational expression means reducing it to its lowest terms by factoring and canceling common factors.

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

Back

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

13 questions

Types and Components of Computer Systems

Flashcard

•

9th - 12th Grade

13 questions

Money

Flashcard

•

9th - 12th Grade

15 questions

Small Talk in Business Contexts

Flashcard

•

KG - University

10 questions

Figurative Speech

Flashcard

•

6th Grade - University

6 questions

unit2-PG-QUANTIFIERS

Flashcard

•

7th Grade - University

10 questions

Key Terms in Cost Management

Flashcard

•

KG - University

12 questions

Algebraic Concepts Unit 1 8th Grade

Flashcard

•

8th Grade - University

15 questions

cars

Flashcard

•

KG - University

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