 A cyclist travels at a constant m miles per hour.

# Algebra - Formulae

This Math quiz is called 'Algebra - Formulae' and it has been written by teachers to help you if you are studying the subject at middle school. Playing educational quizzes is a fabulous way to learn if you are in the 6th, 7th or 8th grade - aged 11 to 14.

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There are many different definitions for the word formula but the one we like best is: 'two mathematical expressions connected by an equals sign'.

This Algebra quiz allows you to dip your Math toe in the formulae water.......off you go!

1.
a2 + b2 = 25. If a = 3 then what is the value of b?
4
5
6
7
2.
If a = 2 and b = 5, which of the following formula is correct?
2a + 6b = 31
3a + b2 = 31
4a + 6b - 2b = 31
5a x 2b = 31
Don't worry, you will NOT normally be presented with formulae that don't add up!
3.
You are given the formula a = 2b and you are told that the value of b is 4. What is the value of a?
2
4
6
8
2b = 2 x 4. We have been told that a = 2b and therefore a must be 8
4.
If a2 = 6b and a has the value of 6, what is the value of b?
3
6
9
12
In this case you have two variables (a and b) and there is no reason why they cannot both have the same value - in this case 6
5.
Which sign must be contained in a formula?
+
-
x
=
Remember that all formulae contain an equals sign
6.
What is a 'variable'?
A division sign
A letter or symbol representing a varying quantity
A multiplication sign
An equals sign
7.
You are given the formula x - 2 = c and you are told that the value of c is 28. What is the value of x?
26
28
30
32
30 - 2 = c. Sometimes you have to work backwards in order to find the answer
8.
The perimeter of a rectangle is twice its length plus twice its width; this can be represented as p = 2l + 2w. What is the perimeter if l = 12cm and w = 6cm?
18 cm
24 cm
36 cm
48 cm
Perimeter means 'all the way around the outside'
9.
What is the plural of formula?
Formulants
Formulas and formulae
Formulents
Formuleses
Either can be used
10.
A cyclist travels at a constant m miles per hour. How far has he traveled in 4 hours?
4m
6m
8m
10m
Author:  Frank Evans