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• MATH6058 Factorising Quadratic Equations with $x^2$ Coefficients of 1

Factorise three quadratic equations of the form $x^2+bx+c$.

The first has two negative roots, the second has one negative and one positive, and the third is the difference of two squares.

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• Maria's copy of Roots of a quartic real polynomial

Given two complex numbers, find by inspection the one that is a root of a given quartic real polynomial and hence find the other roots.

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• W2a: Solve an equation with reciprocals-2

Solve for $x$: $\displaystyle \frac{s}{ax+b} = \frac{t}{cx+d}$

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• W2a: Solve an equation with a reciprocal-1

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

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• W2b: Solve an equation in algebraic fractions

Solve for $x$: $\displaystyle \frac{px+s}{ax+b} = \frac{qx+t}{cx+d}$ with $pc=qa$.

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• W1c - How to enter expressions in online tests and Matlab

Dealing with expressions in online tests and in Matlab.

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• j's copy of Several variables corresponding to a scenario - Swansea

Choose from one of several pre-defined scenarios, and set variables to the corresponding values, defined in lists.

This question has three variables: city, population, and percent_like_chocolate. These differ for each city. We've defined a list for each variable, with the corresponding values. A variable called scenario picks a random position in the list, so the value of city, for example, is cities[scenario].

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• IV time needed with a rate change (easier)

Nursing question. IV question. Given volume required, the rate for some hours and then another rate afterwards, how long will it take to get the required volume? Answers are designed to be easy to handle, e.g. full hours, half hours, quarter hours and thirds of an hour.

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• Integration - Area Under a Graph 2

Three graphs are given with areas underneath them shaded. The student is asked to calculate their areas, using integration.  Q1 has a polynomial. Q2 has exponentials and fractional functions. Q3 requires solving a trig equation and integration by parts.

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• Integration - Area under a curve 1

Graphs are given with areas underneath them shaded. The student is asked to select the correct integral which calculates its area.

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