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

Given a description in words of the costs of some items in terms of an unknown cost, write down an expression for the total cost of a selection of items. Then simplify the expression, and finally evaluate it at a given point.

The word problem is about the costs of sweets in a sweet shop.

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

A graph of an (invertible) cubic is given. The question is to determine values of $f$ from graph.

Manipulation of algebraic fractions

Refresher questions on topics in algebra that students beginning a maths undergraduate course should be familiar with.

Given a description in words of the costs of some items in terms of an unknown cost, write down an expression for the total cost of a selection of items. Then simplify the expression, and finally evaluate it at a given point.

The word problem is about the costs of sweets in a sweet shop.

several statements are given regarding trig identities. student is to select which are true and which are false

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

Algebra word problems using area and perimeter.

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Calculating wages using algebraic equations

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Find $\displaystyle \int\frac{ax^3+ax+b}{1+x^2}\;dx$. Enter the constant of integration as $C$.

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Simplifying indices.

Simplifying indices.

Simplifying indices.

Expansion of two brackets

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A few quadratic equations are given, to be solved by completing the square. The number of solutions is randomised.

A quadratic equation (equivalent to $(x+a)^2-b$) is given and sketched. Three equations are given that can be solved using the graph. There is a chance there will only be one solution.

Rearrange some expressions involving logarithms by applying the relation $\log_b(a) = c \iff a = b^c$.

Several quadratics are given and students are asked to complete the square.

Practice with adding, subtracting and dividing basic algebraic fractions

A few quadratic equations are given, to be solved by completing the square. The number of solutions is randomised.

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Find $\displaystyle \int\frac{ax^3+ax+b}{1+x^2}\;dx$. Enter the constant of integration as $C$.

Inputting algebraic expressions into Numbas.