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# Equations

/Tag: Equations
30 11, 2018

## Changing the Subject

By |2018-11-30T08:07:01+10:00November 30th, 2018||Comments Off on Changing the Subject

Changing the Subject Go to the Changing the Subject Forum to see more questions or ask your own Worked examples Make i the subject of the equation: A = P(1 + i)² $\frac{A}{P}=\frac{P(1+i)^2}{P}$ we need to move everything away from the i, starting by dividing both sides by P [...]

29 11, 2018

## Simultaneous Equations

Simultaneous Equations Go to the Equations Forum to see more questions or ask your own Worked examples Solve 2x + 3y = 4 and 2x - 4y = -10. 2x + 3y = 4 2x - 4y = -10 7y = 14 y = 2 Elimination Method this method [...]

29 11, 2018

## Equations with Indices

Equations with Indices Go to the Equations Forum to see more questions or ask your own Worked examples If 1.05x  = 2. Find the value of x. x = 2 1.052 = 1.1025  Method 1: Guess and Check you start with any number and check, then modify the next guess [...]

28 09, 2018

## Terminology

Network Terminology Go to the Network Forum to see more questions or ask your own Terms & Definitions Directed Network network with arrows on its edges, that indicate the direction Network a collection of connected objects Isomorphic Graph Graph/network diagram that represents the same information, is equivalent Vertices/Nodes the [...]

2 07, 2018

## Fuel Consumption

Fuel Consumption Go to the Fuel Consumption Forum to see more questions or ask your own Formulas used in Fuel Consumption Fuel Consumption L/1ookm Worked examples A motorist started a trip with a full tank of petrol and after travelling 540km refilled the tank. Given that the [...]

2 07, 2018

## Equations

Equations Go to the Equations Forum to see more questions or ask your own Worked examples Solve for x: $\frac{{3x}}{4} - 5 = \frac{x}{5} + \frac{1}{2}$ $^{\times\cancel4\times5\times2}\frac{{3x}}{\cancel4} - 5^{\times4\times5\times2} = \frac{x}{\cancel5}^{\times4\times\cancel5\times2} + \frac{1}{\cancel2}^{\times4\times5\times\cancel2}$ multiply everything by 4, 5 and 2 30x – 200 = 8x + 20 simplify 22x – 200 [...]

2 07, 2018

## Changing the Subject

Changing the Subject Go to the Changing the Subject Forum to see more questions or ask your own Worked examples Change the subject of y = mx + b to x. y=mx + b we are trying to get x by itself, so we must remove all the other letters [...]

25 06, 2018

## Substitution

Substitution Go to the Substitution Forum to see more questions or ask your own Worked examples  If $I=\frac{E}{R+r}$. find r if I = 12, E = 60 and R = 4. $12=\frac{60}{4+r}$ substitute all numbers into their corresponding letters $12(4+r)=\frac{60}{\cancel{(4+r)}}^{\times\cancel{(4+r)}}$ multiply both sides by 4 + r 48 + [...]

25 06, 2018

## Formulae & Equations

By |2018-12-03T20:23:34+10:00June 25th, 2018|Tags: , , , |0 Comments

Formulae & Equations Go to the Formulae & Equations Forum to see more questions or ask your own Topics Covered in Formulae & Equations Substitution Expanding Brackets Indices Fraction & Negative Indices Changing The Subject Equations Equations with Indices Distance, Speed, Time [...]

4 12, 2016

## Equations with Indices

Equations with Indices worked examples Solve for x: 43x + 2 = 8. $(2^2)^{3x+2}=2^3$ first, we need to rewrite everything in the lowest terms we can 4 = 22 and 8 = 23 $(2^2)^{3x+2}=2^3$ simplify by multiplying the powers $2^{6x+4}=2^3$ divide throughout by 6 6x + 4 = [...]