# Category Archives: FAQ

## How to Solve linear equations

This question was submitted by Nonhle Remember that when you are solving for x in a linear equation (that means that x does not have any exponents) you need to take all the numbers to one side and all the x’s to the other side. For example: Solve for x: 4x + 5 = 7 […]

## How to calculate compound interest

Calculate compound interest Remember that compound interest is interest that is added to the principal amount at the end of each period. The formula to calculate compound interest: Where: FV = Future value PV = Present value i = Effective interest rate n = Number of periods The grade 12 CAPS syllabus requires learners to […]

## Why do we need to study Geometry

Dear Yasodha Rani, There are so many places to use geometry in real life. There are many places that analytical geometry is used in every day life but Euclidean Geometry is used even more!! I’m sure you can think of the basic examples such as area and perimeter of the spaces in and around your […]

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## Finding Constraints in Linear Programming

This question was posted by Siboniso How do we find constraints in linear programming? Thanks for the question Siboniso, There are two different kinds of questions that involve finding constraints. The first comes directly from the diagram. In this case it is a simple matter of finding the equation of the straight line using the […]

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## Simplifying Exponential Expressions

Question Submitted by Nonhle Simplify:

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## What are Arithmetic Sequences

Question posted by Sihawukele An arithmetic sequence is a linear sequence – that means it has a constant difference (d). The pattern is that you add or subtract the same amount from the previous term to get to the next term. For example 2 5 8 11… What we are adding every time is 3: […]

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## How to simplify algebraic fractions

This question was submitted by Tebugo The first thing to check for is if there are any common factors on the top and bottom. You do this by factorising the top and bottom parts of the fraction. If there are take them out and cancel them. For example – our fraction has an x in […]

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## Rational Exponents

Rational exponents can be viewed in two ways: Firstly, if you have a surd (the root of a number that cannot be simplified – for example, the square root of 2) in the denominator of your fraction, you can rationalize the denominator (make it into an integer) by multiplying it by itself. But remember what […]

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## How to find the Linear Regression Equation

This question comes from Busisiwe, who studies at the University of Stellenbosch. How do you find the equation for linear regression? It is quite easy once you know how – and all the stats functionality works the same way. So for linear regression: On your calculator press MODE and choose 1 for STAT Then press […]

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## How to calculate angles with reasons that have the value x,y, and z

This question is from Motlanelo from Modubung High School.: How do you calculate angles with reasons that have the value x, y and z. Well, There are 6 important rules to use when you are doing geometry: Remember vertically opposite angles are equal to each this other. This means that when two (or more lines) […]

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