How do you factorise the expression $$x^2 - 9$$ ?

It can be factorised as $$(x - 3)(x + 3)$$ , which is a difference of squares.

What is the simplified form of $$\frac{x^2 - 9}{x - 3}$$ ?

$$x + 3$$ , after cancelling the common factor.

What is the simplified form of $$\frac{x^2 + 5x + 6}{x + 2}$$ ?

$$x + 3$$ , after cancelling the common factor.

What is the simplified form of $$\frac{x^2 + 6x + 8}{x + 4}$$ ?

$$x + 2$$ , after cancelling the common factor.

What is the simplified form of $$\frac{7(x - 11) + 2x(x - 11)}{(x - 11)^2}$$ ?

$$\frac{7 + 2x}{x - 11}$$ , after cancelling the common factor.

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

$$x - 3$$ , after cancelling the common factor.

What is the factorisation of $$x^2 - 4$$ ?

$$(x - 2)(x + 2)$$ , which is a difference of squares.

What is the simplified form of $$\frac{x^2 - 4}{x - 2}$$ ?

$$x + 2$$ , after cancelling the common factor.

Factorise to Simplify Algebraic Fractions Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the process of factorising an algebraic expression?

Back

Factorising is the process of breaking down an expression into simpler components (factors) that, when multiplied together, give the original expression.

2.

FLASHCARD QUESTION

Front

What is the purpose of simplifying algebraic fractions?

Back

The purpose is to make the expression easier to work with, allowing for simpler calculations and clearer understanding of the relationships between variables.

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

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

Wives of Prophet Muhammad Flashcard

Flashcard

•

10th Grade - University

11 questions

H Chem: Chemical Analysis

Flashcard

•

KG

11 questions

Mostly Irrelevant Presidential Trivia

Flashcard

•

9th - 12th Grade

9 questions

Advantages of Cloud Storage

Flashcard

•

9th - 10th Grade

6 questions

PROBABILITY DISTRIBUTION

Flashcard

•

11th Grade

14 questions

Deviance

Flashcard

•

11th Grade

16 questions

IGCSE Thermal Physics Flashcard

Flashcard

•

10th Grade

Popular Resources on Wayground

8 questions

2 Step Word Problems

Quiz

•

KG - University

20 questions

Comparing Fractions

Quiz

•

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

10 questions

Latin Bases claus(clois,clos, clud, clus) and ped

Quiz

•

6th - 8th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

7 questions

The Story of Books

Quiz

•

6th - 8th Grade

Discover more resources for Mathematics

8 questions

2 Step Word Problems

Quiz

•

KG - University

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

10 questions

Finding Area and Circumference of a Circle

Interactive video

•

6th - 10th Grade

12 questions

Exponential Growth and Decay

Quiz

•

9th Grade

13 questions

Model Exponential Growth and Decay Scenarios

Quiz

•

9th - 12th Grade

15 questions

Combine Like Terms and Distributive Property

Quiz

•

8th - 9th Grade

15 questions

TSI Math Practice Questions

Quiz

•

8th - 12th Grade

20 questions

Systems of Equations - Substitution

Quiz

•

9th Grade