If you are asked how many days there are in a week, you would find the answer easy – there are 7. How about the number of days in two weeks? Again, the answer is fairly straightforward – there are 14.
What happens when you are asked how many days there are in three weeks, or four or five? If you know the formula you could work this out.
· 1 week is 1 × 7 days = 7
· 2 weeks is 2 × 7 days = 14
· 3 weeks is 3 × 7 days = 21
· 4 weeks is 4 × 7 days = 28
So, the formula to work out the number of days is:
· Number of days = number of weeks × 7
So, in order to solve all these calculations we have actually used Algebraic Expressions
Before we start with Algebraic Expressions, let us first learn about expressions.
What are Expressions?
An expression in mathematics refers to a combination of mathematical symbols and operands and operators.
For example,
5 + 3
is an expression since it combines the symbols 5 and 3 (in this case the symbols are real numbers) and the mathematical addition operator (+).
An expression can also consist of variables as in the example below.
x – 12
x is a variable because it represents a value which we do not know at the moment.
Expressions can also be written without operators as long as variables are involved, for example, the following are also expressions:
Where t, x, y and α are variables.
We can now define Algebraic Expressions as: A combination of constant and variables connected by the signs of fundamental operations such as addition, subtraction, multiplication and division is called an algebraic expression.
For Example: 5x2 – 7x = 3 is an algebraic expression
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