The document defines key terms used in algebraic expressions:
1) A variable represents an unknown value and can be letters or symbols like "B" in the expression "12 + B".
2) An algebraic expression uses variables with numbers and operations like "a + 2" or "3m + 6n - 6".
3) A coefficient is the number multiplied by a variable, like 6 is the coefficient of m in the expression "6m + 5".
4) A term refers to a number, variable, or their combination using multiplication or division, like "a" and "2" are terms in "a + 2".
5) A constant is a number that cannot change
Expressions
Youare familiar with the following
type of numerical expressions:
12+6
3 (12)
6 (3 + 2)
15 - 4 (6)
4.
What is avariable?
In the expression 12 + B, the letter “B”
is a variable.
A variable is a letter or symbol that
represents an unknown value.
5.
Algebraic Expressions
Whenvariables are used with other
numbers, parentheses, or operations, they
create an algebraic expression.
a + 2
(a) (b)
3m + 6n - 6
6.
What are coefficients?
A coefficient is the number multiplied
by the variable in an algebraic
expression.
Algebraic Expression Coefficient
6m + 5 6
8r + 7m + 4 8, 7
14b - 8 14
7.
What is aterm?
A term is the name given to a number, a
variable, or a number and a variable
combined by multiplication or division.
Algebraic Expressions Terms
a + 2 a, 2
3m + 6n - 6 3m, 6n, - 6
8.
What are constants?
A constant is a number that cannot
change its value.
In the expression: 5x + 7y - 2
the constant is - 2.