A (quadratic) function is skethed sketched. Three equations are given that can be solved using the graph. There is a chance there will only be one solution.

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

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

No description given

Simplifying algebraic expressions

Tests Algebra, Graphing Straight Lines, Probability, Statistics

Practice with adding, subtracting and dividing basic algebraic fractions

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

Fourth part of the Core Foundation Maths pre-arrival self-assessment material:

Question 1:  Algebra IV: Properties of indices (1) - Multiplication/Division                                 

Question 2: Algebra IV: Properties of indices (2) - Fractions                                 

Question 3: Algebra IV - Properties of Indices (4) - Further

Question 4: Numbers V: standard index form (conversions and operations)                                 

Practice with adding, subtracting and dividing basic algebraic fractions

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.

Putting algebraic fractions into their simplest forms

Three graphs are given with areas underneath them shaded. Student is asked to determine the minimum and maximum $x$-values of the regions. This will involve solving a linear equation and two trigonmetric equations.

Several quadratics are given and students are asked to factorise them.

A few simple functions are provided of the form ax, x+b and cx+d. Values of the functions, inverses and compositions are asked for. Most are numerical but the last few questions are algebraic.

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

Questions on rearranging expressions, expanding brackets and collecting like terms.

No description given

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.

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.

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

Several quadratics are given and students are asked to factorise them.

Several quadratics are given and students are asked to factorise them.

Some quadratics are to be solved by factorising

Questions on rearranging expressions, expanding brackets and collecting like terms.

Inputting algebraic expressions into Numbas.

Inputting ratios of algebraic expressions.

Inputting algebraic expressions into Numbas.

Inputting algebraic expressions into Numbas.