Equations and Inequalities

Check list:

Revise the solution of linear equations.
Solve quadratic equations (by factorisation).
Solve simultaneous linear equations in two unknowns.
Solve word problems involving linear, quadratic or simultaneous linear equations.
Solve literal equations (changing the subject of a formula).
Solve linear inequalities and show solution graphically. Use of Interval Notation is required.

Learn the concepts:

Linear equations and literal equations

These three videos contain nothing new. You've been solving and rearranging equations since Grade 8 so I don't expect you to have any issues, unless of course you are still scared of fractions. Remember that they cannot hurt you and if you are still struggling to work with them, go back to Fractions in Algebraic Expressions. The videos cover content from check point 1 and 5.

Videos from learn.mindset.co.za

Mind Action Series: Mathematics 10 Textbook & Workbook (2011)
Exercise 1 Page 61
Exercise 2 Page 63
Exercise 6 Page 74 (literal equations)

Relevant sections in Everything Maths:

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Quadratic equations

For me, this is where things start getting fun in Maths. We combine the skills of factorising (learnt in Algebraic Expressions) with the skill of solving equations and are able to find the value/s of the variable.Remember the check list I use in factorising:

Finding a common factor
* Factorise by grouping
* Changing of the signs
Difference of two square
Factorising a trinomial
Sum or difference of two cubes

These videos cover the content found in check point 2.

Videos from learn.mindset.co.za

Mind Action Series: Mathematics 10 Textbook & Workbook (2011)
Exercise 5 Page 72

Relevant sections in Everything Maths:

Solving quadratic equations

Linear simultaneous equations

Check point 3 talks about solving simultaneous equations. These are equations that have more than one variable that needs to be determined. In Grade 10 we stick to 2 unknowns and give 2 equations so that you can find the value of both variables. There are 3 methods you could possibly use and you need to be able to use each one. After you've tried them all, pick your favourite and practice that until you can use the method without even thinking about it. You will be doing simultaneous equations all the way to Matric, so pay attention!

Videos from learn.mindset.co.za

Mind Action Series: Mathematics 10 Textbook & Workbook (2011)
Exercise 4 Page 69

Relevant sections in Everything Maths:

Solving simultaneous equations

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Word problems

Check point 4 talks about word problems. There are some who believe that you can't learn how to do word problems, you either have it or you don't. This is of course, absolute rubbish. There are some strategies that you can learn and use, but the real question is, is this section worth enough marks to spend that amount of time on it? This is a question you'll have to answer yourselves.

Videos from learn.mindset.co.za

Mind Action Series: Mathematics 10 Textbook & Workbook (2011)
Some Challenges #6-9 Page 76

Relevant sections in Everything Maths:

Word problems

Still want to learn more? Try these links:

Linear inequalities

Linear inequalities are very similar to linear equations, you rearrange the inequality until you find the value of the variable. The only thing that is different: when you multiply or divide both sides by a negative number, the inequality sign changes direction. These videos cover the content from check point 6. Remember that you must know how to use interval notation!