Simultaneous Linear Equations

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Simple Linear Equations involving basic transposition

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Factorising basic quadratics into linear expressions

Factorising further basic quadratics into linear factors.

Linear equations, simultaneous linear equations in two variables

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Straightforward solving linear equations question.

Adapted from 'Simultaneous equations by elimination 1 with parts' by Joshua Boddy.

Questions on angles on parallel lines (vertically-opposite, alternate, corresponding and co-interior), and angles along a straight line and in a circle.

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

Shows how to define variables to stop degenerate examples.

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.

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.

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

Straightforward solving linear equations question.

Adapted from 'Simultaneous equations by elimination 1 with parts' by Joshua Boddy.

Straightforward solving linear equations question.

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

Straightforward solving linear equations question

This exercise will help you rearrange a linear equation to find the value of a given variable

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This exercise will help you rearrange a linear equation to find the value of a given variable

Shows how to define variables to stop degenerate examples.

Shows how to define variables to stop degenerate examples.

Finding equation of a straight line graph and a parallel line through a given point.

This task is part of a set of three assessment tasks for 7.RP.2.

7.RP.2 Robot Races asks students to "explain what a point (x,y) on the graph of a proportional relationship means in terms of the situation" and to "compute unit rates associated with ratios of fractions." Students also need to compare the speeds of the robots.

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

Solving linear equations to find the value of x.

Basic solving of linear equations.

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

Factorising polynomials using the highest common factor

This question asks a student to draw a straight line graph by dragging points.

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