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

Factorise polynomials by identifying common factors. The first expression has a constant common factor; the rest have common factors involving variables.

Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.

No description given

Questions involving various techniques for rearranging and solving quadratic expressions and equations

Questions involving various techniques for rearranging and solving quadratic expressions and equations

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

Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.

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

Questions involving various techniques for rearranging and solving quadratic expressions and equations

Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.

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

Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.

Use the rule $\log_a(n^b) = b\log_a(n)$ to rearrange some expressions.

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

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

Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.

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.

Evaluate $\int_0^{\,m}e^{ax}\;dx$, $\int_0^{p}\frac{1}{bx+d}\;dx,\;\int_0^{\pi/2} \sin(qx) \;dx$. 

Evaluate $\int_0^{\,m}e^{ax}\;dx$, $\int_0^{p}\frac{1}{bx+d}\;dx,\;\int_0^{\pi/2} \sin(qx) \;dx$. 

Questions involving various techniques for rearranging and solving quadratic expressions and equations

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.

Inputting algebraic expressions into Numbas.

Inputting algebraic expressions into Numbas.

Inputting algebraic expressions into Numbas.