FabuMaths
  • High School
    • Grade 10 >
      • Grade 10 Answers
      • Algebraic Expressions
      • Algebraic Functions
      • Analytical Geometry
      • Exponents
      • Equations and Inequalities
      • Euclidean Geometry
      • Finance and Growth
      • Numbers and Patterns
      • Measurement
      • Probability
      • Statistics
      • Trigonometry
      • Trigonometric Functions
    • Grade 11 >
      • Grade 11 Answers
      • Algebraic Functions
      • Analytical Geometry
      • Equations and Inequalities
      • Exponents and Surds
      • Euclidean Geometry
      • Finance, Growth and Decay
      • Measurement
      • Numbers and Patterns
      • Probability
      • Statistics
      • Trigonometry
      • Trig Functions
    • Grade 12 >
      • Grade 12 Answers
      • Analytical Geometry
      • Calculus
      • Euclidean Geometry
      • Finance, Growth and Decay
      • Functions
      • Functions: Exponential and Logarithmic
      • Functions: Polynomials
      • Patterns, Sequences and Series
      • Probability
      • Statistics
      • Trigonometry

Check list:

  1. Revise the solution of linear equations.
  2. Solve quadratic equations (by factorisation).
  3. Solve simultaneous linear equations in two unknowns.
  4. Solve word problems involving linear, quadratic or simultaneous linear equations.
  5. Solve literal equations (changing the subject of a formula).
  6. 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:
  • Solving linear equations
  • Literal equations
Still want to learn more? Try these links:
  • A list of YouTube clips on solving fractional equations.
  • A website which explains how to work with literal equations.

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
Still want to learn more? Try these links:
  • A note and videos on how to solve simultaneous equations graphically.
  • A tool which can solve linear simultaneous equations using the substitution method. Type in the equations and it will show you the steps to take.
  • A note on how to use the substitution method.
  • A YouTube clip called Solving Simultaneous Equations by Elimination Example 2.
  • A YouTube clip called Simultaneous Equations - Elimination method Example 5: ExamSolutions.

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:
  • An explanation on how to tackle digit word problems with a list of YouTube clips.
  • An explanation and YouTube clips on how to do distance problems.
  • An explanation on how to do general quadratic word problems.

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!
Videos from learn.mindset.co.za
Mind Action Series: Mathematics 10 Textbook & Workbook (2011)
Exercise 3 Page 64
Exercise 6 Page 11 (Interval notation)
Relevant sections in Everything Maths:
  • Solving linear inequalities
Still want to learn more? Try these links:
  • A note on solving linear inequalities. It also include interval notation.
  • A note on interval notation.
  • A worksheet with linear inequalities that contain fractions.

Practice the concepts:

Who could resist this face? This video is a prerecord of linear and quadratic equations.
Download the note.
And there she is again! This is a prerecord of how to solve simultaneous equations and linear inequalities.
Download the note.
This is a live show on solving quadratic and simultaneous equations as well as word problems.
Download the note.
This is a live show on solving linear inequalities and using interval notation.
Download the note.
Videos from learn.mindset.co.za
Mind Action Series: Mathematics 10 Textbook & Workbook (2011)
Exercise 1 Page 3
Relevant sections in Everything Maths:
  • Chapter summary
  • End of chapter exercises
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  • High School
    • Grade 10 >
      • Grade 10 Answers
      • Algebraic Expressions
      • Algebraic Functions
      • Analytical Geometry
      • Exponents
      • Equations and Inequalities
      • Euclidean Geometry
      • Finance and Growth
      • Numbers and Patterns
      • Measurement
      • Probability
      • Statistics
      • Trigonometry
      • Trigonometric Functions
    • Grade 11 >
      • Grade 11 Answers
      • Algebraic Functions
      • Analytical Geometry
      • Equations and Inequalities
      • Exponents and Surds
      • Euclidean Geometry
      • Finance, Growth and Decay
      • Measurement
      • Numbers and Patterns
      • Probability
      • Statistics
      • Trigonometry
      • Trig Functions
    • Grade 12 >
      • Grade 12 Answers
      • Analytical Geometry
      • Calculus
      • Euclidean Geometry
      • Finance, Growth and Decay
      • Functions
      • Functions: Exponential and Logarithmic
      • Functions: Polynomials
      • Patterns, Sequences and Series
      • Probability
      • Statistics
      • Trigonometry