This question tests the students ability to use the logarithm equivalence law to make x the subject of a given equation and to check which of a list of logarithmic expressions are equivalent to x.

Testing factorisation of quadratics.

Testing factorisation of quadratics.

A method of randomly choosing variable names - use the expression() JME function to create a variable name from a randomly chosen string.

(This question also uses a custom marking script to check that the student has simplified the expression)

Simplify algebra expressions

A method of randomly choosing variable names - use the expression() JME function to create a variable name from a randomly chosen string.

(This question also uses a custom marking script to check that the student has simplified the expression)

Substitute the numeric or algebraic definition of a variable into different expressions. 

Simplify algebra expressions

9 questions: Expanding out expressions such  $(ax+b)(cx+d)$ etc.

A basic introduction to differentiation

A basic introduction to differentiation

Show one of several blocks of text depending on the value of a question variable.

As well as a simple check for the value of a variable, the condition to display a block of text can be a complex expression in any of the question variables - in this example, depending on the discriminant of the generated quadratic.

Simplify algebra expressions

Show one of several blocks of text depending on the value of a question variable.

As well as a simple check for the value of a variable, the condition to display a block of text can be a complex expression in any of the question variables - in this example, depending on the discriminant of the generated quadratic.

Working with powers

Simplify algebra expressions

Simplifying algebraic expressions

Create a truth table for a logical expression of the form $(a \operatorname{op1} b) \operatorname{op2}(c \operatorname{op3} d)$ where $a, \;b,\;c,\;d$ can be the Boolean variables $p,\;q,\;\neg p,\;\neg q$ and each of $\operatorname{op1},\;\operatorname{op2},\;\operatorname{op3}$ one of $\lor,\;\land,\;\to$.

For example: $(p \lor \neg q) \land(q \to \neg p)$.

Simplifying algebraic expressions

Factorising algebraic expressions

rebelmaths

Expand out brackets to simplify an algebraic expression.

rebelmaths

Instructions on inputting ratios of algebraic expressions.

rebelmaths

Simplifying algebraic expressions

rebelmaths

Factorising basic quadratics into linear expressions

Expanding Brackets, Simplifying Expressions, Simple transposition, rules of indices

rebel

rebelmaths

Create a truth table for a logical expression of the form $(a \operatorname{op1} b) \operatorname{op2}(c \operatorname{op3} d)$ where $a, \;b,\;c,\;d$ can be the Boolean variables $p,\;q,\;\neg p,\;\neg q$ and each of $\operatorname{op1},\;\operatorname{op2},\;\operatorname{op3}$ one of $\lor,\;\land,\;\to$.

For example: $(p \lor \neg q) \land(q \to \neg p)$.

Using $\cos^2\theta+\sin^2\theta=1$ to evaluate expressions.

Inputting ratios of algebraic expressions.

Inputting algebraic expressions into Numbas.

The function randexp, provided by an extension, generates a random string matching the given regular expression.