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

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

25 questions on solving quadratic equations

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Shows how to define variables to stop degenerate examples.

rearranging the Michelas-Menten equation to make the substrate the subject.

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Factorise a quadratic equation where the coefficient of the $x^2$ term is greater than 1 and then write down the roots of the equation

A quadratic is given and sketched. Based on the sketch, task is to determine the number of solutions to the equation $f(x)=0$.

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Transposition of formulae. Changing the subject of an equation. 

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

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

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

Simple Linear Equation.

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

Solve a quadratic equation by completing the square. The roots are not pretty!

Tests the ability to find the gradient and intercept of a straight line graph.

A graph of a straight line $f$ is given. Questions include determining values of $f$, of $f$ inverse, and determing the equation of the line.

Solve simple two step linear equations with feedback.

Implicit differentiation.

Given $x^2+y^2+dxy +ax+by=c$ find $\displaystyle \frac{dy}{dx}$ in terms of $x$ and $y$.

Also find two points on the curve where $x=0$ and find the equation of the tangent at those points.

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Transposition of formulae. Changing the subject of an equation. 

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The student is asked to factorise a quadratic $x^2 + ax + b$. A custom marking script uses pattern matching to ensure that the student's answer is of the form $(x+a)(x+b)$, $(x+a)^2$, or $x(x+a)$.

To find the script, look in the Scripts tab of part a.

In progress!

This quiz contains questions on functions, limits, logs, exponential functions, simultaneous equations and quadratic equations.

Differential equations.

Matrix addition, multiplication. Finding inverse. Determinants. Systems of equations.

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Questions involving various techniques for rearranging and solving quadratic expressions and equations

Yr 7 Simple Linear Equations, integer answers only