State restrictions and simplify: $$\frac{x^2 - 4x - 12}{(x + 2)(x - 6)}$$

Restrictions: $$x \ne -2, 6$$ ; Simplified: $$\frac{x - 6}{x + 2}$$

Identify the restrictions: $$\frac{x^2 + 4x - 12}{x(x - 3)(x + 4)}$$

Restrictions: $$x \ne 0, 3, -4$$

Definition: Restrictions in Rational Expressions

Values of the variable that make the denominator zero, which are not allowed.

Definition: Polynomial

An expression consisting of variables raised to non-negative integer powers and coefficients.

Definition: Factorization

The process of breaking down an expression into a product of simpler expressions.

Example: Simplify $$\frac{x^2 - 1}{x^2 - 4}$$

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

Definition: Common Denominator

A shared multiple of the denominators of two or more fractions.

Definition: Cross Multiplication

A method used to solve equations involving fractions by multiplying the numerator of one fraction by the denominator of the other.

T2U6 Retest Flashcards

Student preview

16 questions

Show all answers

1.

FLASHCARD QUESTION

Front

Back

2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Definition: Rational Expression

Back

A fraction where the numerator and denominator are polynomials.

7.

FLASHCARD QUESTION

Front

Definition: Simplifying a Fraction

Back

The process of reducing a fraction to its simplest form by dividing the numerator and denominator by their greatest common factor.

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

16 questions

Phrasal Verbs Related to Food & Eating

Flashcard

•

10th Grade

10 questions

Synthetic Personalisation A level English

Flashcard

•

12th Grade - University

13 questions

[AP CSP] Binary Conversion

Flashcard

•

9th - 12th Grade

10 questions

Purpose Clauses

Flashcard

•

10th - 11th Grade

10 questions

Output Devices

Flashcard

•

10th Grade

13 questions

Simple Tips for Healthy Eating

Flashcard

•

10th Grade

15 questions

The Genre of Science Fiction

Flashcard

•

11th - 12th Grade

15 questions

Verbs and prepositions

Flashcard

•

12th Grade

Popular Resources on Wayground

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

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

15 questions

Equivalent Fractions

Quiz

•

4th Grade

20 questions

Figurative Language Review

Quiz

•

6th Grade

Discover more resources for Mathematics

12 questions

Add and Subtract Polynomials

Quiz

•

9th - 12th Grade

13 questions

Model Exponential Growth and Decay Scenarios

Quiz

•

9th - 12th Grade

27 questions

7.2.3 Quadrilateral Properties

Quiz

•

9th - 12th Grade

10 questions

Key Features of Quadratic Functions

Interactive video

•

8th - 12th Grade

11 questions

Exponent Quotient Rules A1 U7

Quiz

•

9th - 12th Grade

18 questions

Integer Operations

Quiz

•

5th - 12th Grade

15 questions

Exponential Growth and Decay Word Problems

Quiz

•

9th - 12th Grade

10 questions

complementary and Supplementary angles

Quiz

•

9th - 12th Grade