Related Topics: Operations on Algebraic Expressions
Some examples of variables are:
x, a, t, y, b
A term can be a number, a variable, or a number and variable combined by multiplication or division.
Some examples of terms are:
x, 8, 4y,
Expression |
Number of Terms |
Description |
6x |
1 |
A number multiplied by a variable. The number is always written first followed by the variable(s). |
3w – 8 |
2 |
Terms separated by – |
7b + 5t – 6 |
3 |
Terms separated by + and – |
1 |
All multiplication and division, no + or – symbol |
Example:
Determine the number of terms in the following expressions:
a) 5xyz
b) 3x + 2y – 2x + 6
Solution:
a) 5xyz has one term
b) 3x + 2y – 2x + 6 has four terms
The number (positive or negative) in the algebraic term is called the coefficient.
For example:
For the term 4x, 4 is the coefficient
For the term –7y, –7 is the coefficient
The coefficient of 1 in an algebraic term is usually not written.
For example:
1y can be written as simply y. So, 1y and y are the same.
Example:
Find the coefficient and variable of each of the following terms:
a) 0.2m
b) –3p
c) q
d) z
e)
Solution:
a) 0.2m (The coefficient is 0.2 and the variable is m)
b) –3p (The coefficient is –3 and the variable is p)
c) q (The coefficient is and the variable is q)
d) z (The coefficient is 1 and the variable is z)
e) (The coefficient is and the variable is x)
This video shows the parts of an expression (terms, coefficients and variables) then explains about evaluating expressions using some examples.
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