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

A particle is in equilibrium on an incline. Four forces are acting on it. You're given the angle of the incline and three forces. Resolve the forces to find the angle and magnitude of the other force.

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

This exercise will help you solve equations of type ax-b = c.

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These basic questions will help you expand one set of brackets for linear variables

Straightforward solving linear equations question.

These basic questions will help you expand one set of brackets for linear variables

Straightforward solving linear equations question.

Adapted from 'Simultaneous equations by substitution 3 with parts' by Joshua Boddy.

These basic questions will help you expand one set of brackets for linear variables

This question allows you to practice identifying the coordinates of points on graphs.

Two particles connected by a string which passes over a pulley at the top of an inclined plane. Find the acceleration of the masses and the tension in the string. Can not model the whole system as a single particle.

A particle is projected up a rough plane at a given speed. Given the angle of the slope and the coefficient friction, find the distance the particle travels before it comes to instantaneous rest.

A box is being pushed up a slope by a horizontal force. Calculate the normal reaction force, and the acceleration of the box up the slope.

Finding the acceleration of a particle on an inclined plane which is at an angle to the horizontal. Smooth then with value for coefficient of friction.

To be used on the Inclined plane page of the Dynamics section of the Mechanics wiki page.

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

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

This exercise will help you in expanding brackets of linear variables 

Matching a straight line graph to its equation.

Simple Linear Equation.

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

Equations of type ax-b = c.

Includes advice.

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

Finding the values which satisfy an inequality containing two linear factors. 

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.

Expanding linear factors

Basic solving of linear equations

Factorising further basic quadratics into linear factors.

Using differentiation to find the tangent and normal to a line at a given point