Apply the quadratic formula to find the roots of a given equation. The quadratic formula is given in the steps if the student requires it.

Solve a quadratic equation by completing the square. The roots are not pretty!

Apply the quadratic formula to find the roots of a given equation. The quadratic formula is given in the steps if the student requires it.

Indices

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Solve a quadratic equation by completing the square. The roots are not pretty!

Solve for $x$ and $y$:  \[ \begin{eqnarray} a_1x+b_1y&=&c_1\\   a_2x+b_2y&=&c_2 \end{eqnarray} \]

The included video describes a more direct method of solving when, for example, one of the equations gives a variable directly in terms of the other variable.

Solve a quadratic equation by completing the square. The roots are not pretty!

Solve a system of three simultaneous linear equations

Solve a logarithmic equation

Some impossible-looking questions about quadratic equations which can be solved with a bit of thinking.

Questions to test if the student knows the inverse of fractional power or root (and how to solve equations that contain them). 

Solve a 3 x 3 matrix system.

Solve a system of three simultaneous linear equations

Solve simultaneous equations,

Need to know indices and logarithm

Solve quadratic equations using formula.

This exercise will help you solve questions based on subduction zones using  the Cosine rule.

Use Sine rule and Cosine rule to solve a Geometry problem in geology.

Newton-Raphson numerical method question to solve $g(x)=0$

Includes a graph of the function $g(x)$ in Advice using Jsxgraph.

Determine if the following describes a probability mass function.

$P(X=x) = \frac{ax+b}{c},\;\;x \in S=\{n_1,\;n_2,\;n_3,\;n_4\}\subset \mathbb{R}$.

Solve an exponential equation

Solve a logarithmic equation

Solving a system of three linear equations in 3 unknowns using Gauss Elimination in 4 stages. Solutions are all integral.

Find angle and side in a right angled triangle.

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Find the $x$ and $y$ components of the resultant force on an object, when multiple forces are applied at different angles.

Indices

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Solving a system of three linear equations in 3 unknowns using Gauss Elimination in 4 stages. Solutions are all integral.

Indices

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Solve for x and y on a given triangle and calculate the area

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Solve 4 first order differential equations of two types:$\displaystyle \frac{dy}{dx}=\frac{ax}{y},\;\;\frac{dy}{dx}=\frac{by}{x},\;y(2)=1$ for all 4.

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Scientific Notation

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