 This is a facial 'expression'. An equation must have two 'expressions'.

# Level 5-6 Algebra - Equations - Basic

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 = MC2 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 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
2.
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
3.
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
4.
If 9x - 2 = 7, then which of the following is not correct?
9x = 7 + 2
9x = 9
x = 99
x = 2
Everything was going fine until the last item! To be correct, the last item would need to be x = 1
5.
Which of the following numbers is a possible value for x in the equation x3 = x2 + 18?
2
3
4
5
You can work this one out by trial and error. 23 = 8 so is too low. 43 = 64 so is too high. Therefore the answer must be between 2 and 4 so it hast to be 3
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 3a + 2 = a + 6, then which of these is incorrect?
3a + 2 - a = 6
2a = 6 + 2
2a = 4
a = 42
To correct the equation it should read 2a = 6 - 2. All of the above leads us to the conclusion that a = 2
8.
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
9.
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!
10.
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
Author:  Frank Evans