Solving equations and inequalities- Year 11 revision and Year 10 Higher

We are approaching the year 11 GCSE exam and my year 10 class are revising for a solving equations test. Here is a list of topics and some questions and answers to help. Links are taken from corbettmaths and mathstakeaway.

Solving linear equations

Answers. JG

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Solving quadratics (factorising, formula, 

completing the square)

Questions;

Higher questions: Solving Quadratics. Answers in next post. JG

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Answers to these questions are on our instagram account makerevision- follow for daily questions.

Simultaneous Equations

Here are some questions to try on linear simultaneous equations    questions

Higher simultaneous questions, y10 and y11, comment your answer. JG

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Linear and non linear

Linear and non linear   questions      answers

Inequalities 

Questions    Answers

Questions        Answers

Solving Quadratic equations

Today both higher year 11 classes of mine have been revising solving quadratic. There are three different methods for solving quadratic equations: 

Factorising

 

Completing the Square 

Quadratic Formula 

And for the year 10's- found this song to help remember it! 

With these, it is important that you have a lot of practice, find below links to different resources you could use: 

Solving by factorising Corbett Maths   Answers 

Quadratic Formula Corbett Maths   Answers

Completing the square Corbett Maths   

Worksheet- Factorising

Worksheet Formula

Worksheet Completing the Square

If you are still struggling come to maths cafe every lunch time and get help! 

Using the Quadratic Formula

Whenever you're faced with a quadratic equation you have choice:

• Plot it and find the intercepts
• Factorise and solve (x+...)(x+...) etc. Each bracket =0 etc
• Complete the square and rearrange (see these older posts)
• Use the quadratic formula:

(More can be seen about the quadratic formula in this post)

You will have your own order of preference for the above methods, but one thing you can be certain of is that if there are real solutions, the formula will find them (factorising may not!).