Simultaneous equations with at least one non-linear equation

Adding algebraic fractions with linear expressions in the numerators

Questions for practising algebraic methods for solving linear simultaneous equations

Solving a pair of linear simultaneous equations, giving answers as integers or fractions.

Solving a pair of linear simultaneous equations, giving answers as integers or fractions.

Solving a pair of linear simultaneous equations, giving answers as integers or fractions.

Solving a pair of linear simultaneous equations, giving answers as integers or fractions.

Students are supposed to use Excel (or similar) to find the answers (e.g., enter coordinates of two points then plot and add trendline).

Uses an embedded Geogebra graph of a line $y=mx+c$ with random coefficients set by NUMBAS.

The student is shown a diagram containing a line between two points. They're given a gradient and $y$-intercept.

They must manipulate the line or the points so that the line has the given gradient and $y$-intercept.

Given the following three vectors $\textbf{v}_1,\;\textbf{v}_2,\;\textbf{v}_3$ Find out whether they are a linearly independent set are not. Also if linearly dependent find the relationship $\textbf{v}_{r}=p\textbf{v}_{s}+q\textbf{v}_{t}$ for suitable $r,\;s,\;t$ and integers $p,\;q$.

A set of MCQ designed to help Level 2 Engineering students prepare/practice for the on-line GOLA test that is used to assess the C&G 2850, Level 2 Engineering, Unit 202: Engineering Principles.

Straight line graph formula

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

Factorising polynomials using the highest common factor

Given a linear or a quadratic function and asked whether it is continuous. Part of HELM Book 2.4.

The diagram contains a line and a hidden glider on that line.

The JavaScript preamble adds a callback which shows the glider when the question advice is displayed.

The CSS preamble adds a vertical line down the input for part b, to separate the two parts of the matrix.

Find the unit vectors in the direction of four 3-dimensional vectors. Three of the vectors are given, and the fourth is expressed as a linear combination of two of the other vectors.

given Voltage and loads calculated all the line currents

Calculating several linear combinations of three 3-dimensional vectors. 

Calculating several linear combinations of three 2-dimensional vectors. 

Find the unit vectors in the direction of four 2-dimensional vectors. Three of the vectors are given, and the fourth is expressed as a linear combination of two of the other vectors.

Solve linear equations with unknowns on one. Including brackets and fractions. Solutions may require rounding.

Horizontal and vertical shifts and scales of a random cubic spline

Horizontal and vertical shifts and scales of a random cubic spline

Horizontal and vertical shifts and scales of a random cubic spline

of a random cubic spline

of a random cubic spline

of a random cubic spline

of a random cubic spline