Green Bridge Learning Resource For Algebraic Fractions

Overview

Algebraic fractions are fractions whose numerators and denominators contain letters. They behave exactly like ordinary fractions, but factorising first often reveals a common factor that cancels, turning a fearsome-looking expression into something simple.

In this lesson (Extended tier) you will simplify algebraic fractions by factorising and cancelling, and add, subtract, multiply and divide rational expressions.

Lesson Evaluation

Congratulations on completing the lesson on Algebraic Fractions. Now that youve explored the key concepts and ideas, its time to put your knowledge to the test. This section offers a variety of practice questions designed to reinforce your understanding and help you gauge your grasp of the material.

You will encounter a mix of question types, including multiple-choice questions, short answer questions, and essay questions. Each question is thoughtfully crafted to assess different aspects of your knowledge and critical thinking skills.

Use this evaluation section as an opportunity to reinforce your understanding of the topic and to identify any areas where you may need additional study. Don't be discouraged by any challenges you encounter; instead, view them as opportunities for growth and improvement.

Simplify (x^2 + 5x)/(x^2 - 25). A. x/(x - 5) B. x/(x + 5) C. (x + 5)/(x - 5) D. x - 5 Answer: A
Simplify (2/x) x (x^2/3). A. 2x/3 B. 2/(3x) C. 2x^2/3 D. x/3 Answer: A
Simplify 1/x + 1/(2x). A. 2/(3x) B. 3/(2x) C. 1/(3x) D. 2/x Answer: B
Before cancelling an algebraic fraction you should first: A. add the terms B. factorise top and bottom C. multiply out D. square both sides Answer: B
Simplify (6x)/(3x^2). A. 2/x B. 2x C. 3x D. 1/(2x) Answer: A