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Countdown to Exams - Day 66 - Simultaneous equations

Countdown to Exams - Day 66 - Simultaneous equations

In today's blog post we cast our eye on Simultaneous equations. A simultaneous equation is where we have two equations containing different unknowns (normally x's and y's) and our job is to find the value of both of these letters. There are two ways to solve simultaneous equations; the first method is the elimination method. In this method the aim is to get one of your variables to have matching coefficients, we achieve this by multiplying one or both of the equations. When the are the same we simply add or subtract the equations to eliminate a variable. Solve the resultant equation to find the value of one variable. Remember to substitute this value into an equation to find the value of the second variable to get full marks.

The second method is the substitution method. In this method, the aim is to rearrange one of the equations so that a variable is equal to something. This something is then substituted into the other equation (this leaves one equation with one variable in it). Solve the resultant equation to find the value of one variable. Remember to substitute this value into an equation to find the value of the second variable to get full marks.

If there are quadratics present, be sure to use the substitution method.

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Countdown to Exams - Day 52 - Equation of a circle

Countdown to Exams - Day 52 - Equation of a circle

On day 52 of the countdown, we approach the more complex topic of the Equation of a circle. There are a few areas of prior knowledge required to tackle the whole topic completely. You will need to be confident in calculating missing sides using Pythagoras' theorem (to find the radius), calculating the gradient (to find the equation of the radius and then the tangent). Knowledge of perpendicular lines will be required as well as memorising the general rule for the equation of a circle (x2+y2=r2)

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Countdown to Exams - Day 14 - Linear equations

Countdown to Exams - Day 14 - Linear equations

On day 14, we are still looking at the Algebra section paying attention to Linear Equations. Here we start with creating linear equations that will enable you to calculate the value of the unknown. Here you will need to utilise all you algebraic skills as you may be required to expand, factorise, collect like terms before attempting to solve the equation. Pay attention to the general order that you solve equations.

The difference between an expression and and equation is that an equation has an equal sign!

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Countdown to Exams - Day 10 - Formulae

Countdown to Exams - Day 10 - Formulae

Today we take a look at Formulae. There are many strands to Formulae that you need to be comfortable with. We take a look at creating a formula from some information given, paying particular attention to the operations that are involved.

You will be required to memorise formulae to help you solve problems and being able to substitute into a formula accurately is important in order to secure the right answer and marks.

There will be times that you will have to manipulate and rearrange the formula in order to work something else out. This is called changing the subject and is also the last thing we cover in this topic.

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