Write down the Newton-Raphson formula for finding a numerical solution to the equation $e^{mx}+bx-a=0$. If $x_0=1$ find $x_1$.

Included in the Advice of this question are:

6 iterations of the method.

Graph of the NR process using jsxgraph. Also user interaction allowing change of starting value and its effect on the process.

25 questions on solving quadratic equations

25 questions on solving quadratic equations

15 questions based on module so far. 

No description given

No description given

No description given

No description given

No description given

No description given

No description given

This question tests the student's ability to solve simple linear equations by elimination. Part a) involves only having to manipulate one equation in order to solve, and part b) involves having to manipulate both equations in order to solve. 

No description given

Straightforward solving linear equations question.

Adapted from 'Simultaneous equations by substitution 3 with parts' by Joshua Boddy.

Straightforward solving linear equations question.

Adapted from 'Simultaneous equations by elimination 1 with parts' by Joshua Boddy.

Find i using compound interest formula A=P(1+i)^n

rebelmaths

These basic questions will help you understand the increase and decrease in percent change

These short questions concentrate on conversion between decimals and percentages.

No description given

No description given

Students seem to freak out when their answer is not written exactly the same as the answer provided. This question tries to enforce that $(x-y)=-(y-x)$ and $\frac{a-b}{c-d}=\frac{b-a}{d-c}$

No description given

These basic questions will help you expand one set of brackets for linear variables

Factorising polynomials using the highest common factor.

Adapted from 'Factorisation' by Steve Kilgallon.

No description given

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

A detailed look at how algebraic fractions can be manipulated and simplified.

Add, subtract, multiply and divide numerical fractions.

Adapted from 'Algebraic fractions: operations involving algebraic fractions' by Ben Brawn.

Some practice collecting like terms of algebraic expressions, with detailed advice.

Adapted from 'Collecting like terms' by Ben Brawn.

Transposing formulae

rebelmaths