Evaluating a modulus function of the form $f(x)=ax+b|x|$ for a given value of $x$.

Evaluating a modulus function of the form $f(x)=x^2+m|x|$ for a given value of $x$.

Evaluating a modulus function of the form $f(x)=c-m|x|$ for a given value of $x$.

Evaluating a modulus function of the form $f(x)=m|x|+c$ for a given value of $x$.

Evaluating composite functions involving a linear function and a modulus function of the form $f(x)=|x|+c$, for a given value of $x$.

Determining the range of a function of the form $f = m|x| + a$.

Finding composite functions of a linear function and a function of the form $x^n+a$.

Given an equation of the form $m=m_0 e^{-kt}$ to model the mass of a radioactive material, calculate the decay constant $k$ and the time taken for the material to reach a certain percentage of its initial mass. 

Given an equation of the form $T=T_0 e^{kt}$ to model temperature, calculate the temperature after a given time, the time taken to reach a certain temperature, and the time taken for the temperature to double.

Rewriting expressions of the form $n \log(a)\pm m \log(b) \pm p \log(c)$ as a single logarithm.

Rewriting expressions of the form $\log(a)\pm \log(b)$ as a single logarithm.

Finding $x$ from a logarithmic equation of the form $\log_a\left(\frac{1}{x}\right) = b$, where $a$ is a positive integer and $b$ is a negative integer.

Finding $x$ from a logarithmic equation of the form $\log_x \left(\frac{1}{\sqrt(a)}\right) = \frac{1}{2}$, for a positive integer $a$.

Finding $x$ from a logarithmic equation of the form $\log_ax = b$, where $a$ is a positive integer and $b$ is a positive fraction.

Finding $x$ from a logarithmic equation of the form $\log_ax = b$, where $a$ and $b$ are positive integers.

Finding $x$ from a logarithmic equation of the form $\log_xa = b$, where $a$ and $b$ are positive integers.

Solving an equation of the form $a^x=b$ using logarithms to find $x$.

An explore mode activity containing a lot of questions, for students to check their understanding of the information in the "Getting Started" material.

Note: This question was written for students accessing Numbas exams through the Numbas LTI tool. Some of the information does not apply to exams accessed standalone or through a generic SCORM player.

This question gives information for students on how to answer number entry parts, with some opportunities to try submitting answers.

Testing the understanding of the formal definition of $A\subseteq B$.

Calculating the integral of a function of the form $ax^b$ using a table of integrals. 

Calculating the integral of a function of the form $a_1x^{b_1}+a_2x^{b_2}+a_3x^{b_3}$ using a table of integrals. 

Calculating the integral of a function of the form $\frac{a}{bx}$ using a table of integrals.

Integrating an exponential function of the form $ae^{bx}$ using a table of integrals / anti-derivatives.

Calculating the integral of a function of the form $a \sin(bx)$ using a table of integrals.

Calculating the integral of a function of the form $a \cos(bx)$ using a table of integrals.

Calculating the integral of a function of the form $a \sec^2(bx)$ using a table of integrals.

Calculating the integral of a function of the form $\frac{a}{\sqrt{b^2-x^2}}$ using a table of integrals.

Calculating the integral of a function of the form $2ax(ax^2+b)^n$ using integration by substitution.

Calculating the integral of a function of the form $x(ax^2+b)^n$ using integration by substitution.