Solve a logarithmic equation

Solve a system of three simultaneous linear equations

set up x- and y axises.

set linear equations and solve the simulatenous equations.

Solve for $x$: $\displaystyle 2\log_{a}(x+b)- \log_{a}(x+c)=d$. 

Make sure that your choice is a solution by substituting back into the equation.

Solve for $x$: $\displaystyle 2\log_{a}(x+b)- \log_{a}(x+c)=d$. 

Make sure that your choice is a solution by substituting back into the equation.

Solve a pair of linear equations by writing an equivalent matrix equation.

Solve $p - t < \text{or}> q$

Find angle and side in a right angled triangle.

rebelmaths

Inverse and division of complex numbers.  Four parts.

Multiplication and addition of complex numbers. Four parts.

Inverse and division of complex numbers.  Four parts.

Composite multiplication and division of complex numbers. Two parts.

Multiplication and addition of complex numbers. Four parts.

Solve a logarithmic equation

Solve an exponential equation

No description given

Solve simultaneous equations,

Need to know indices and logarithm

Solve quadratic equations using formula.

Selection of Quadratic Equations to Solve

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.

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

rebelmaths

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.