Algebra is an important part of KS3 Maths. Equations are one of the key aspects of algebra and this quiz will introduce you to some basic equations.

Basic equations have something called expressions. Expressions are numbers and/or symbols which show the value of something. For example, 3 x 3 is an expression.

E = MC^{2} is a famous equation formulated by Maths genius Albert Einstein and it deals with his theory of relativity. Whole books have been written about it! If you want to get anywhere in the field of science, or maths, then you are going to have to understand equations.

This quiz will start you on the road to understanding equations in general. Take your time, read each question carefully and choose your answers wisely. And don't forget the helpful comments which follow each question. These can shed light on something you've missed. Good luck!

1.

If 3a + 2 = a + 6, then which of these is incorrect?

3a + 2 - a = 6

2a = 6 + 2

2a = 4

a = ^{4}⁄_{2}

To correct the equation it should read 2a = 6 - 2. All of the above leads us to the conclusion that a = 2

2.

What is the name give to an equation that doesn't balance on either side of the equals sign?

Inaccurate

Inept

Invalid

There is no such thing

Either the expressions balance and it is an equation or the expressions don't balance and it isn't an equation!

3.

Which of the following numbers is a possible value for x in the equation x^{3} = x^{2} + 18?

2

3

4

5

You can work this one out by trial and error. 2^{3} = 8 so is too low. 4^{3} = 64 so is too high. Therefore the answer must be between 2 and 4 so it hast to be 3

4.

If a = 5 and b = 8, then which of the following is correct?

8 + a + 8 + b = 104

8 + a + 8b = 104

8a + 8 + b = 104

8a + 8b = 104

(8 x 5) + (8 x 8) = 40 + 64 = 104

5.

If you are given an equation, what will you have done to it when you have found the answers?

Soaked it

Solved it

Squared it

Stuffed it

A 'solution' is what you are looking for when trying to solve an equation

6.

If x + 4 = b, what is the value of x?

4b

-4b

b + 4

b - 4

When + 4 crosses over to the other side of the equals sign it must be changed to - 4

7.

If 9x - 2 = 7, then which of the following is not correct?

9x = 7 + 2

9x = 9

x = ^{9}⁄_{9}

x = 2

Everything was going fine until the last item! To be correct, the last item would need to be x = 1

8.

Which of these is not an equation?

6/3 = 2

65 + 35 = 100

5 - 6 = 8 - 9

2 x 3 = 7 - 2

In the correct answer, the expressions on either side of the equals sign are not the same value and therefore it is not an equation

9.

An equation must have two equal what?

Examples

Expressions

Extensions

Extractions

You must have one expression on one side of the equals sign and another expression on the other side. The two sides must share the same value. If one side equals 56 then the other side must also equal 56

10.

If 4 + x + 8 = 24, then which of the following is correct?

4 + x = 16

12 + x = 16

4x - 8 = 16

4x + 8 =16

You must firstly have ascertained that x = 12