Hi! I am currently studying **Dental Surgery** at the University of Leeds. I have always had a **passion for science** especially Biology and learning about the human body.

I also was tutored in maths throughout school so I know how important it is to be **clear and patient** and understand why certain subjects are challenging and how to work through the topic together.

I have a **lot of experience working with other people** as I previously volunteered at my local youth club for 5 years and at a summer club for young people with disabilities.

The sessions will be completely** tailored to suit you best** and you decide whatever topics you wish to be covered. I understand how important it is to **clearly understand the material **and not to just memorise facts for the exam.

It will be completely interactive with a discussion rather than a one way conversation, with me asking lots of questions and making sure you can explain it back to me before we move on.

But most of all it will be **enjoyable**! I hope that I can show you why I love science so much and **transfer my enthusiasm to you by the end**!

If you have any questions, send me a 'WebMail' or book a 'Meet the Tutor Session'

Hi! I am currently studying **Dental Surgery** at the University of Leeds. I have always had a **passion for science** especially Biology and learning about the human body.

I also was tutored in maths throughout school so I know how important it is to be **clear and patient** and understand why certain subjects are challenging and how to work through the topic together.

I have a **lot of experience working with other people** as I previously volunteered at my local youth club for 5 years and at a summer club for young people with disabilities.

The sessions will be completely** tailored to suit you best** and you decide whatever topics you wish to be covered. I understand how important it is to **clearly understand the material **and not to just memorise facts for the exam.

It will be completely interactive with a discussion rather than a one way conversation, with me asking lots of questions and making sure you can explain it back to me before we move on.

But most of all it will be **enjoyable**! I hope that I can show you why I love science so much and **transfer my enthusiasm to you by the end**!

If you have any questions, send me a 'WebMail' or book a 'Meet the Tutor Session'

No DBS Check

4from 1 customer review

Alison (Parent)

February 20 2015

Hi Fraser Alex has really benefited from the first 2 tutorials that he has had with you - he has finally found a constructive way of revising and now wants to make having 1-1 with you a regular part of his revision programme during the next 10 weeks - thank you v much for your input Alison

In algebra, long expressions can be simplified which makes them easier to solve.

We can simplify alebraic expressions by **collecting together "like terms".**

When looking at an expressions such as:

5x + 4x - 2 - 2x + 10

the terms with the same letter can be collected.

For example:

5x + 4x - 2x in the equation above all have the same letter and can be added and substracted. This equals **7x** (5 + 4 - 2)

The numbers both do not have any letter after them so also can be collected together as they are "like terms".

10 - 2 = 8

So **5x + 4x - 2 - 2x + 10 **simplified is **7x + 8**

Sometimes expressions will have several different terms or letters in them.

For example:

**5x + 4y - 3x + 4y - 7z**

The same method is used with all the x terms being collected together, then all the y terms and then all the z terms.

5x - 3x = 2x

4y + 4y = 8y

- 7z = - 7z

So **5x + 4y - 3x + 4y - 7z **simplified is **2x + 8y - 7z**

Some questions might ask you to **multiply out brackets**

It is important to remember that:

2a means "2 times a"

ab means "a times b"

a^{2} means "a times a"

So for example in the expression:

**5 ( 3x + 5 )**

the number on the outside of the brackets is multiplied by all the terms inside the brackets in multiple steps.

FIRST: 5 times 3x = 15x

SECOND: 5 times 5 = 25

therefore: **5 ( 3x + 5 ) = 15x + 25**

Be careful in some expressions.

If the sign inside the expression is **n****egative** for example:

**3 ( 2x - 2 )**

Then remember that the sign is also multiplied.

**3 times - 2 = - 6**

Similarly if the term **outside** the brackets is a **letter** such as:

**a ( a + 5 )**

then it is important to remember **a times a is a ^{2}**

**HIGHER LEVEL**

Some expressions can have two brackets. In this case everything in the first bracket needs to be multiplied by everything in the second bracket.

An easy way of doing this is to take each term in turn and multiply it by each term in the second bracket.

For example:

**( x + 4 )( x + 3 )**

the x in the first bracket is taken first

FIRST: x is multiplied by the the x in the second bracket = **x**^{2}

SECOND: x is multiplied by the 3 in the second bracket = **3x**

then the 4 in the first bracket is done the same

FIRST: 4 is multiplied by x in the second bracket = **4x**

SECOND: 4 is multiplied by 3 in the second bracket = **12**

all these terms are then collected together:

**x ^{2} + 3x + 4x + 12**

**this is then simplified to x ^{2} + 7x + 12**

An easier way of remembering how to expand brackets, is to use the acronym **F.O.I.L**

F = first

O = outer

I = inner

L = last

this shows the order which you should multiply out the terms.

( x + 3 )( x + 4 )

**F**irst = x times x = x^{2}

**O**uter = x times 4 = 4x

**I**nner = 3 times x = 3x

**L**ast = 3 times 4 = 12

In algebra, long expressions can be simplified which makes them easier to solve.

We can simplify alebraic expressions by **collecting together "like terms".**

When looking at an expressions such as:

5x + 4x - 2 - 2x + 10

the terms with the same letter can be collected.

For example:

5x + 4x - 2x in the equation above all have the same letter and can be added and substracted. This equals **7x** (5 + 4 - 2)

The numbers both do not have any letter after them so also can be collected together as they are "like terms".

10 - 2 = 8

So **5x + 4x - 2 - 2x + 10 **simplified is **7x + 8**

Sometimes expressions will have several different terms or letters in them.

For example:

**5x + 4y - 3x + 4y - 7z**

The same method is used with all the x terms being collected together, then all the y terms and then all the z terms.

5x - 3x = 2x

4y + 4y = 8y

- 7z = - 7z

So **5x + 4y - 3x + 4y - 7z **simplified is **2x + 8y - 7z**

Some questions might ask you to **multiply out brackets**

It is important to remember that:

2a means "2 times a"

ab means "a times b"

a^{2} means "a times a"

So for example in the expression:

**5 ( 3x + 5 )**

the number on the outside of the brackets is multiplied by all the terms inside the brackets in multiple steps.

FIRST: 5 times 3x = 15x

SECOND: 5 times 5 = 25

therefore: **5 ( 3x + 5 ) = 15x + 25**

Be careful in some expressions.

If the sign inside the expression is **n****egative** for example:

**3 ( 2x - 2 )**

Then remember that the sign is also multiplied.

**3 times - 2 = - 6**

Similarly if the term **outside** the brackets is a **letter** such as:

**a ( a + 5 )**

then it is important to remember **a times a is a ^{2}**

**HIGHER LEVEL**

Some expressions can have two brackets. In this case everything in the first bracket needs to be multiplied by everything in the second bracket.

An easy way of doing this is to take each term in turn and multiply it by each term in the second bracket.

For example:

**( x + 4 )( x + 3 )**

the x in the first bracket is taken first

FIRST: x is multiplied by the the x in the second bracket = **x**^{2}

SECOND: x is multiplied by the 3 in the second bracket = **3x**

then the 4 in the first bracket is done the same

FIRST: 4 is multiplied by x in the second bracket = **4x**

SECOND: 4 is multiplied by 3 in the second bracket = **12**

all these terms are then collected together:

**x ^{2} + 3x + 4x + 12**

**this is then simplified to x ^{2} + 7x + 12**

An easier way of remembering how to expand brackets, is to use the acronym **F.O.I.L**

F = first

O = outer

I = inner

L = last

this shows the order which you should multiply out the terms.

( x + 3 )( x + 4 )

**F**irst = x times x = x^{2}

**O**uter = x times 4 = 4x

**I**nner = 3 times x = 3x

**L**ast = 3 times 4 = 12