MYTUTOR SUBJECT ANSWERS

264 views

Solve 8(x + 3) = 36

In this question (taken from a non-calculator higher level GCSE maths past paper), we want to find an answer x=?

Ultimately we want to leave 'by itself' on the left hand side, with our answer on the right. Our first step is to 'undo' the on the outside of the bracket. This is done by dividing by 8 on both sides of the equation.  After dividing by 8 we have (x+3)=(36/8).

Because this is a non-calculator paper, you may find it easiest to calculate 36/8 in stages. We can see very easily that both 36 and are both divisible by 2. This allows us to simplify the fraction to 18/4. Repeating this step again gives a simplified fraction 9/2. It is now easier to see that 36/8=9/2=4.5 and so x+3=4.5

Finally we 'undo' the on the left hand side of the equation by subtracting 3 on both sides of the equation. This gives us x=4.5-3 so x=1.5. This is the final answer. 

It is worth noting that although we have gone through the stages step-by-step in this example, the question is only worth 3 marks in the exam. You should practice these types of algebra-solving questions such that you are able to solve them whilst presenting your workings clearly, quite quickly. 

Kathryn P. GCSE Maths tutor, A Level English tutor, GCSE English tuto...

6 months ago

Answered by Kathryn, a GCSE Maths tutor with MyTutor


Still stuck? Get one-to-one help from a personally interviewed subject specialist

511 SUBJECT SPECIALISTS

£20 /hr

Laura P.

Degree: Mathematics (Masters) - Lancaster University

Subjects offered:Maths

Maths

“Hi! I'm Laura, a Maths student at Lancaster. I have such a passion for Maths that I hope my tutorials will be both engaging and interactive, so all can enjoy!”

£20 /hr

Guy P.

Degree: Mathematics (Masters) - Warwick University

Subjects offered:Maths, Further Mathematics + 2 more

Maths
Further Mathematics
.STEP.
.MAT.

“Hi there. Thank you for taking the time to visit my profile, it would be great to meet in a FREE 15-minute meeting! I look forward to hearing from you soon!”

£18 /hr

Jed R.

Degree: Engineering Mathematics (Masters) - Bristol University

Subjects offered:Maths, Further Mathematics

Maths
Further Mathematics

“A bit about meI am s student studying engineering mathematics at Bristol University. Maths is a passion of mine and I like to see people who are enthusiastic to learn. While at college I took part in a mentoring scheme where I volu...”

About the author

Kathryn P.

Currently unavailable: for new students

Degree: Philosophy, Politics and Economics (Bachelors) - Oxford Alumni University

Subjects offered:Maths, History+ 5 more

Maths
History
Government and Politics
Extended Project Qualification
English
-Personal Statements-
-Oxbridge Preparation-

“Hello!  My name is Kathryn and I have recently graduated from Balliol College, Oxford with a degree in Philosophy, Politics and Economics. I have always enjoyed learning and helping others to understand new subjects. Currently I'm liv...”

You may also like...

Posts by Kathryn

How could I plan a peice of persuasive writing?

Solve 8(x + 3) = 36

Other GCSE Maths questions

How do i solve the quadratic x^2 + 5x + 6 = 0 ?

What is the easiest way to expand quadratic equations?

How do signs change in an inequality?

Express 0.545454... as a fraction in its simplest form.

View GCSE Maths tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok