An equation is a statement that two quantities are equal. A variable is a letter that represents an unknown value. A root or solution of an equation is the value of the variable that makes the equation a true statement.
x = 4 + 3 is an equation. x is the variable. 7 is the root or solution.
Factors are expressions of multiplication.
3x means 3 times x. 3 is a factor of 3x. x is a factor of 3x.
Terms are algebraic expressions that are added or subtracted.
In the expression 2m + 3n + 8, 2m is a term and 3n is a term. 8 is a term.
Constants are terms that contain only numbers.
In 2m + 3n + 8, the constant term is 8.
Variable terms are terms that have at least one letter.
In 5a + 3b + 7, 5a and 3b are variable terms.
A coefficient is one factor as it relates to the remaining factors of a term.
In 2m + 3n + 8, 2 is the coefficient of m and 3 is the coefficient of n. 8 has no coefficient. The coefficients 2 and 3 are also called the numerical coefficients.