Eight expressions, of increasing complexity. The student must simplify them by expanding brackets and collecting like terms.

Single term expressions various degrees of difficulty simplifying

Simplifying coefficients and establishing the standardized order of writing expressions.

Finding equivalent fractions, and expressing fractions in other equivalent forms.

Simplifying first is essential in terms of managing expressions that might need factorising.

Eight expressions, of increasing complexity. The student must simplify them by expanding brackets and collecting like terms.

Eight expressions, of increasing complexity. The student must simplify them by expanding brackets and collecting like terms.

Simplifying first is essential in terms of managing expressions that might need factorising.

Rewriting $\log_{10}(x)$ in terms of $\log_{10}(a)$ and $\log_{10}(b)$, where $a$, $b$ and $x$ are given.

Simple exercise in collecting terms in different powers of \(x\)

Write a loop in,e.g., Matlab or Python to determine terms in a sequence.

Filling in the blanks from the answer to a simplified expression involving indices.

Harder inequalities that involve terms like $\frac{1}{x}$ where multiplication by the denominator requires you to split into cases for positive or negative, or you multiply by the square of the denominator.

Collecting like terms, expanding a bracket (distributive law), substitution of values, finding factors, simplifying algebraic fractions.

If possible, simplify simple expressions by collecting like terms.

Simplifying first is essential in terms of managing expressions that might need factorising.

Fiind the Highest Common Factor of two algebraic expressions involving a coefficient and powers of $x$ and $y$.

Factorise an expression of 2 or 3 terms where the gcd is a letter times a number. Part of HELM Book 1.3.4

Simple exercise in collecting terms in different powers of \(x\)

Simple exercise in collecting terms in different powers of \(x\)

Simple exercise in collecting terms in different powers of \(x\)

No description given

No description given

Express $\log_a(x^{c}y^{d})$ in terms of $\log_a(x)$ and $\log_a(y)$. 

No description given

Solve for $x$ and $y$:  \[ \begin{eqnarray} a_1x+b_1y&=&c_1\\   a_2x+b_2y&=&c_2 \end{eqnarray} \]

The included video describes a more direct method of solving when, for example, one of the equations gives a variable directly in terms of the other variable.

Find $\displaystyle\int \frac{ax+b}{(x+c)(x+d)}\;dx,\;a\neq 0,\;c \neq d $.

Students are asked to rearrane the formula giving the voltage drop across a resistor in terms of emf of battery, resistance of resistor and internal resistance of battery to make the internal resistance the subject. They are then asked to calculate the internal resistance given values for the other variables (randomised).

Students need to rewrite a given trig espression in terms of one trig ratio only, Written as a scan solution and upload question, no randomisation.

Students need to rewrite a given trig espression in terms of one trig ratio only, Written as a scan solution and upload question, no randomisation.