Year 11 - Maths
Changing the subject where the variable appears in multiple terms
Algebraic fractions
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit, pupils apply skills in manupulating and solving various equations and formulae to algebraic fractions in order to change the subject and manipulate them.
Lesson Summary
You will learn to change the subject where the desired variable appears in multiple terms.
Key Notes
- The variable to become the subject may appear in more than one term.
- It is possible the terms cannot be additively combined.
- In this situation, it is possible to factorise with one of the factors being the desired variable.
Vocabulary To Learn
- Subject of an equation/formula: The subject of an equation/a formula is a variable that is expressed in terms of other variables. It should have an exponent of 1 and a coefficient of 1
Common Mistakes To Avoid
- Not fully isolating the required variable by leaving other terms containing the variable in the expression.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
The variable to become the subject may appear in more than one term. It is possible the terms cannot be additively combined.
2. Use this key word in a maths sentence and explain it clearly. 'Subject of an equation/formula'
The subject of an equation/a formula is a variable that is expressed in terms of other variables. It should have an exponent of 1 and a coefficient of 1. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Not fully isolating the required variable by leaving other terms containing the variable in the expression. Correction: To make a variable the subject, it must be expressed in terms of other variables only. Factorising helps isolate a variable if it is in multiple terms.
More Lessons In This Unit
- Changing the subject with multiple algebraic fractions Study Guide
- Checking and securing understanding of changing the subject with simple algebraic fractions Study Guide
- Checking and securing understanding of solving with simple algebraic fractions Study Guide
- Operations with algebraic fractions Study Guide
- Problem solving with advanced algebraic fractions Study Guide
- Simplifying algebraic fractions Study Guide
- Solving equations with algebraic fractions Study Guide
Browse all guides in the Year 11 Maths guide library.