Inputting algebraic expressions into Numbas.

Inputting algebraic expressions into Numbas.

Inputting algebraic expressions into Numbas.

Use the BODMAS rule to determine the order in which to evaluate some arithmetic expressions. 

Inputting ratios of algebraic expressions.

Expressions of the form (ax+b)(cx+d) are to be multiplied out and simplified.

Simplify logarithmic expressions using rules on logarithms.

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

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

More work on differentiation with fractional coefficients.

A basic introduction to differentiation

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

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.

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.

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

Factorising algebraic expressions

rebelmaths

One question on determining whether statements are propositions.

Four questions on find truth tables for various logical expressions.

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

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

A question to practice simplifying fractions with the use of factorisation (for binomial and quadratic expressions).

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

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

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

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

Simplifying algebraic expressions

Simplifying algebraic expressions

Simplifying expressions such as $b^{\log_b(x)}$ and $b^{\log_b(x)}$.

Simplifying expressions such as $b^{\log_b(x)}$ and $b^{\log_b(x)}$.