Quadratic Equations

Quadratic relationship

Identifying Key Features of Quadratics

Transformation and Quadratic Graphs

Transformations and Quadratic Equtions

Solving basic quadratic equations

Solve by Factorisation I

Graphing Quadratic Functions in Factorised Form

Solving by factorisation II

Solving by completing the square I

Graphing Quadratic Functions in Turning Point Form

Using Vertex Formula

Solving using the quadratic formula

Application Problems

Solving quadratics using various methods

Simultaneous, linear and quadratic equations

Non-Monic Quadratic Equations

Solving by completing the square II

Graphing Quadratic Functions in General Form

Variable substitution Method

The Number and Nature of Solutions

Applications of Quadratic Functions using graphs

Further Applications

Solve rational equations that result in quadratics

Quadratic Graphing Review

Sum and product of roots

Quadratic Identities

Maximum and Minimum Values of Quadratic Equations

Applications of Maximisation and Minimisation

Solve Quadratic Inequalities

Stage 4 - Stage 5

Solve rational equations that result in quadratics

Interactive practice questions

Solve the following equation:

$\frac{12+11x}{5x}=x$12+11x5x=x

Write all solutions on the same line, separated by commas.

Easy

2min

Solve the following equation:

$x-\frac{45}{x}=4$x−45x=4

Easy

1min

Solve the following equation:

$\frac{10}{x}-3x=-13$10x−3x=−13

Easy

2min

Solve for the unknown.

$\frac{1}{x}-\frac{10x}{3}=-\frac{7}{3}$1x−10x3=−73

Easy

2min

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