What is an equation? Have you ever count something about two numbers? If we add both of the numbers will equal a number also. But the problem is how if we don't know one of the numbers? In this posting, we will discuss about equation and what is an equation and its properties.
What is an Equation
For example : An equation says that two things are equal. It will have an equals sign "=" like this:
x | + | 3 | = | 5 |
That equation says: what is on the left (x + 3) is equal to what is on the right (5)
So an equation is like a statement "this equals that"
Parts of an Equation
So people can talk about equations, there are names for different parts (better than saying "that thingy there"!)
Here we have an equation that says 4x − 7 equals 5, and all its parts:
A Variable is a symbol for a number we don't know yet. It is usually a letter like x or y.
A number on its own is called a Constant.
A Coefficient is a number used to multiply a variable (4x means 4 times x, so 4 is a coefficient)
Variables on their own (without a number next to them) actually have a coefficient of 1 (x is really 1x)
Sometimes a coefficient is a letter like a or b instead of a number:
An Operator is a symbol (such as +, ×, etc) that shows an operation (ie we want to do something with the values).
A Term is either a single number or a variable, or numbers and variables multiplied together.
An Expression is a group of terms (the terms are separated by + or − signs)
So, now we can say things like "that expression has only two terms", or "the second term is a constant", or even "are you sure the coefficient is really 4?
(Resource)
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