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Level 5-6 Algebra - Equations - Basic
This is a facial 'expression'. An equation must have two 'expressions'.

Level 5-6 Algebra - Equations - Basic

Algebra is a big deal in your KS3 Maths journey. Equations play a major role, and this quiz is here to get you started with some basic ones.

Basic equations involve something cool called expressions. Expressions are numbers and symbols showing the value of something. Like 3 x 3 is an expression.

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Ever heard of E = MC2? It's a famous equation by the maths genius Albert Einstein, all about his theory of relativity. People write whole books about it! If you're into science or maths, understanding equations is key.

This quiz is your starting point for understanding equations. Take your time, read each question carefully, and choose wisely. Check the helpful comments too; they might shine a light on something you missed. Good luck!

1.
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
2.
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
3.
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
4.
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
5.
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
6.
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
7.
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!
8.
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
9.
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
10.
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
You can find more about this topic by visiting BBC Bitesize - Equations

Author:  Frank Evans
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