Simplifying indices

Basic solving of linear equations

Basic solving of linear equations

Solving linear equations.

Solving linear equations

No description given

No description given

No description given

Basic solving of linear equations

Solving linear equations

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.

Finding lengths of sides of triangles

Finding the volumes of basic 3D shapes

Simplifying indices.

Straightforward solving linear equations question

Working with BODMAS at a basic level.

Using the chain rule with polynomials

Split $\displaystyle \frac{ax+b}{(cx + d)(px+q)}$ into partial fractions.

No description given

No description given

No description given

Find $\displaystyle\int \frac{ax+b}{(x+c)(x+d)}\;dx,\;a\neq 0,\;c \neq d $.

A basic introduction to differentiation

Find the gradient of  $ \displaystyle ax^b+\frac{c}{x^{d}}+f$ at $x=n$

Quotient and remainder, polynomial division.

$I$ compact interval, $g:I\rightarrow I,\;g(x)=ax^3+bx^2+cx+d$. Find stationary points, local and global maxima and minima of $g$ on $I$

More work on differentiation with trigonometric functions

Differentiating further exponentials

Using the chain rule within product rule problems

Identifying the correct rule to use