Equations Exercises

I was looking at roughly of the one-time maths textbooks at my schoolhouse in addition to noticed than fifty-fifty equally latterly equally the 1980s, textbook exercises contained a lot to a greater extent than do questions than modern textbooks. Below is an instance comparison the same theme inward a 1980s textbook ('Negative Numbers in addition to Graphs' past times Heylings) in addition to a electrical flow GCSE textbook ('Edexcel GCSE Maths Higher' published past times Oxford University Press). The exercises encompass the same science only the root exercise is double the length of the second. I approximate modern textbooks convey to tally an entire GCSE course of didactics into a unmarried book, restricting the sum of do questions they tin include.

From 'Negative Numbers in addition to Graphs', root published 1984

From 'Edexcel GCSE Maths Higher', root published 2015

Last calendar month I wrote a post service virtually a 1950s algebra textbook called 'A Classbook of Algebra'. The questions inward this textbook are by in addition to large to a greater extent than challenging than questions inward most modern textbooks. In response to this post service a issue of rattling generous volunteers stepped forrad offering to type upward roughly of the exercises in addition to thence that teachers tin purpose them inward lessons. I am rattling grateful for the fourth dimension in addition to test that has gone into this. In this post service I convey provided links to all the exercises typed upward in addition to thence far which relate to the science of solving equations. I convey an additional xviii exercises on other topics which I volition collate over the side past times side few weeks.

These exercises are all rather long in addition to the thought is non necessarily to purpose them inward their entirety. Because they convey all been typed upward inward in Word, teachers volition easily endure able to edit the exercises or cutting in addition to glue item questions to purpose equally examples inward class.

Most exercises include answers. I volition edit this post service if anything is updated. For each exercise listed below I convey included a minor extract in addition to thence you lot tin preview the type of questions covered.

1. Very Easy Equations (four exercises) - alongside thank you lot to Caroline Beale (@cbealemaths)

2. Easy Equations I - alongside thank you lot to Claire Willis (@MissWillisMaths)

3. Easy Equations II - alongside thank you lot to Caroline Beale (@cbealemaths)

4. Equations Involving Fractions - alongside thank you lot to Michael Allan (@mrallanmaths)

5. Equations Involving Brackets - alongside thank you lot to Jane Appleton (@JaneAppleton24)

6. Equations alongside Brackets in addition to Harder Equations alongside Brackets - alongside thank you lot to Justin Thompson 

7. Equations Involving Directed Numbers - alongside thank you lot to Caroline Beale (@cbealemaths)

8. Easy Literal Equations - alongside thank you lot to Sandra Douglas (@mathsbox1)

9. Miscellaneous Simultaneous Equations - alongside thank you lot to Fee Wilson (@fionajw)

10. Miscellaneous Equations - alongside thank you lot to Dan Rodriguez-Clark (@InteractMaths). 

I promise this is useful. Thank you lot in 1 trial again to everyone who has worked on this. And of course of didactics total credit to Sidney Trustram, the master writer of these exercises which, lxx years on, are all the same making us think. Look out for my side past times side posts inward which I'll percentage exercises on simplifying algebra, expanding, factorising, writing algebraically in addition to working alongside directed numbers.