SUVAT equation questions, for mechanics page in wiki. Uses $v=u+at$ and $s=((u+v)/2)t$.

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A ball is thrown vertically upwards from a position above ground level. Find its greatest height, and the total time its in the air.

Rearrange equations to make $x$ the subject.

Given the gradient of a slope and the coefficient of friction for a mass resting on it, use the equations of motion to calculate how it moves.

Includes a GeoGebra rendering of the model.

Two questions on solving systems of simultaneous 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.

Solve a first order algebraic equation

Example 9 M1 book

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Example 7

uses $s=ut+\frac{1}{2}at^2$

Solve for $x$: $\displaystyle \frac{a} {bx+c} + d= s$

Solve for $x$: $\displaystyle ax ^ 2 + bx + c=0$.

Matching a straight line graph to its equation.

Simple Linear Equation.

$ \dfrac{n}{a} \pm b = c$

Solving simple simultaneous equations.

Equations of type ax-b = c.

Includes advice.

Ball projected vertically within water of a swimming pool. Finding the acceleration, greatest height above the swimming pool floor reached, speed and time. Uses SUVAT equations and $F=ma$.

Questions on vector arithmetic and vector operations, including dot and cross product, as well as the vector equations of planes and lines.

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

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.

Differential equations.

rebelmaths

Solve two simultaneous equations.

Solving quadratic equations using the formula

Find the equation of a straight line parrarell to a given straight line passes through a given point.

Obtain the equation of a straight line that passes through 2 points.