Results

Part 1: Equivalent fractions and the simplest form of a fraction
Part 2: Examples of equivalent fractions
Part 3: Common mistakes and misconceptions

In this video we’re going to discover how to factorise quadratics that don’t have 1 as the coefficient of the x-squared term. These are called non-monic quadratics. We can do it by trial and error and just spotting the factors, but this takes a lot of trial an error. Luckily there is a different method we can use instead, which we will looks at in this video.

This video introduces you to the concept of ratios.

Part 1: Proper, improper and mixed fractions
Part 2: Examples of proper, improper and mixed fractions
Part 3: Common mistakes and misconceptions

Outcomes

In this course you will learn how to:

1. Solve quadratic equations by factorisation.
2. Solve quadratic equations by using the quadratic formula.
3. Solve simultaneous equations involving quadratic equations
4. Solve word problems involving quadratic equations.

This YouTube video can help to get deeper understanding on solving ratio and proportion problems.

Outcomes

In this course you will learn about:

1. Ratio and rate.
2. Direct and indirect proportion.
3. Simple interest.

By the end of this unit you will be able to:

• Solve equations with a single variable which are called linear equations
• Solve equations with a single variable that is squared (quadratic equations) by factorisation.

By the end of this unit you will be able to:

• Solve a quadratic equation by completing the square.

By the end of this unit you will be able to:

• Apply the zero-product law.
• Solve rational quadratic equations which have fractions with the unknown in the denominator.
• Factorise quadratic expressions to solve for the unknown variable.