Mastering Formula Manipulation: Practical Examples and Exercises

Learn how to change the subject of a formula through worked examples and practice exercises covering addition, subtraction, multiplication, and division. Enhance your skills and understanding with step-by-step guidance and improve your ability to manipulate formulas effectively.

• Formula Manipulation
• Mathematics Practice
• Changing Subject
• Algebra Exercises
• Learning Resources

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1. Changing the subject of a formula: Changing the subject of a formula: 6 6 exericses exericses Silent Teacher Intelligent Practice Your Turn Narration ? = ? + ? ? = ? ? ? = ? + ?? Practice

2. Changing the subject of a formula: Changing the subject of a formula: Adding and subtracting Adding and subtracting Silent Teacher Intelligent Practice Your Turn Narration ? = ? + ? ? = ? ? ? = ? + ?? Practice

3. Worked Examples Your Turn Make ? the subject of the following formula: Make ? the subject of the following formula: a) ? = ? + ? a) ? = ? + ? b) ? = ? ? b) ? = ? ? c) ? = ? + ?? c) ? = ? ?? @BerwickMaths

4. Make ? the subject for each of the following formulae: ? = ? + ? ? = ? + ? ? = ? + ??? ? = ??? + ? ? = ? ? ? = ? + ? ? = ? ??? ? = ??? + ? @BerwickMaths

5. Make ? the subject for each of the following formulae: ? = ? + ? ? ? = ? ? = ? + ? ? ? = ? ? = ? + ??? ? ??? = ? ? = ??? + ? ? ??? = ? ? = ? ? ? + ? = ? ? = ? + ? ? + ? = ? ? = ? ??? ? + ??? = ? ? = ??? + ? ? + ??? = ? @BerwickMaths

6. Changing the subject of a formula: Changing the subject of a formula: Multiplying and dividing Multiplying and dividing Silent Teacher Intelligent Practice Your Turn Narration ? = ?? ? ? = ??? ? ? = ? Practice

7. Worked Examples Your Turn Make ? the subject of the following formula: Make ? the subject of the following formula: a) ? = ?? a) ? = ?? ? ? b) ? = b) ? = ??? ?? ? ? ? c) ? = c) ? = ? @BerwickMaths

8. Make ? the subject for each of the following formulae: ? = ?? ? = ?? ? = ??? ? = ??? ? =? ? ? ? = ? ? ?? ? = ? ? = ?? @BerwickMaths

9. Make ? the subject for each of the following formulae: ? = ?? ?/? = ? ? = ?? ?/? = ? ?/?? = ? ? = ??? ?/?? = ? ? = ??? ? =? ? = ?? ? ? ? = ?? = ? ? ? ?? ? = ??? = ? ? ? = ??? = ? ?? @BerwickMaths

10. Changing the subject of a formula: Changing the subject of a formula: Two step multiplication Two step multiplication Silent Teacher Intelligent Practice Your Turn Narration ? = ?? + ? ? = ??? + ? Practice

11. Worked Examples Your Turn Make ? the subject of the following formula: Make ? the subject of the following formula: ? = ??? + ? ? = ?? + ? @BerwickMaths

12. Make ? the subject for each of the following formulae: ? = ?? + ? ? = ?2+ ?? ? = ?? + ??? ? = ?2?? + ?? ? = ?? ? ? = ? + ?? ? = ?? ??? ? = ??? + ?? @BerwickMaths

13. Make ? the subject for each of the following formulae: ? = ?? + ? (? ?)/? = ? ? = ?2+ ?? (? ?2)/? = ? ? = ?? + ??? (? ???)/? = ? ? = ?2?? + ?? (? ?2??)/? = ? ? = ?? ? (? + ?)/? = ? ? = ? + ?? (? + ?)/? = ? ? = ?? ??? (? + ???)/? = ? ? = ??? + ?? (? + ???)/? = ? @BerwickMaths

14. Changing the subject of a formula: Changing the subject of a formula: Two step division Two step division Silent Teacher Intelligent Practice Your Turn Narration ? =? ?+ ? ? ??+ ?2 ? = Practice

15. Worked Examples Your Turn Make ? the subject of the following formula: Make ? the subject of the following formula: ? ? ?+ ? a) ? = ??+ ? a) ? = ? ??+ ?2? ? ??+ ?2 b) ? = b) ? = @BerwickMaths

16. Make ? the subject for each of the following formulae: ? =? ?+ ? ? = ? ?+ ? ? ?2 ? ? = ? = ? ?2 ? ? ??+ ??? ? = ? = ? ?? ??? @BerwickMaths

17. Make ? the subject for each of the following formulae: ? =? ?(? ?) = ? ?+ ? ? = ? ?(? ?) = ? ?+ ? ? ?2 ? ?2(? + ?) = ? ? = ? = ? ?2(? + ?) = ? ?2 ? ? ??+ ??? ??(? ???) = ? ? = ? = ? ?? ??? ??(? + ???) = ? @BerwickMaths

18. Changing the subject of a formula: Changing the subject of a formula: Subject on both sides Subject on both sides Silent Teacher Intelligent Practice Your Turn Narration ?? + ?? = ?? + ?? Practice

19. Worked Examples Your Turn Make ? the subject of the following formula: Make ? the subject of the following formula: ?? + ?? = ?? + ?? ?? + ?? = 3?? + 3?? @BerwickMaths

20. Make ? the subject for each of the following formulae: 5? + ? = 2? + ? 5(? + ?) = 2(? + ?) 5? + ?? = 2? + ?? 5(? + ??) = 2(? + ??) ?? + 5 = ?? + 2 ?(? + 5) = ?(? + 2) ?? + 5? = ?? + 2? ?(? + 5?) = ?(? + 2?) @BerwickMaths

21. Make ? the subject for each of the following formulae: ? = (? ?)/3 5? + ? = 2? + ? 5? + ?? = 2? + ?? ? = (?? ??)/3 ?? + 5 = ?? + 2 ? = 3/(? ?) ?? + 5? = ?? + 2? ? = (2? 5?)/(? ?) @BerwickMaths

22. Make ? the subject for each of the following formulae: ? = (2? 5?)/3 5(? + ?) = 2(? + ?) ? = (2?? 5??)/3 5(? + ??) = 2(? + ??) ?(? + 5) = ?(? + 2) ? = (2? 5?)/(? ?) ?(? + 5?) = ?(? + 2?) ? = (2?? 5??)/(? ?) @BerwickMaths

23. Changing the subject of a formula: Changing the subject of a formula: Fractions Fractions Silent Teacher Intelligent Practice Your Turn Narration ? =? + ? ? ? Practice

24. Worked Examples Your Turn Make ? the subject of the following formula: Make ? the subject of the following formula: ? =? + ? ? ? ? =? + ?? ? ?? @BerwickMaths

25. Make ? the subject for each of the following formulae: ? =5? + 5? ? + ? ? =5? + 5? 4? + 4? ? =5? + 5? 3? 3? @BerwickMaths

26. Make ? the subject for each of the following formulae: ? =5? + 5? ? + ? ? = (?? 5?)/(5 ?) ? =5? + 5? 4? + 4? ? = (4?? 5?)/(5 4?) ? = (3?? 5?)/(5 3?) ? =5? + 5? 3? 3? @BerwickMaths