Basic algebra terms you need to know are constants, variables, coefficients, terms, expressions, equations and quadratic equations. These are some algebra vocabulary that will be useful.
Related Topics: More Algebra Lessons
A fixed quantity that does not change. For example: 3, –6, π,
A variable is a symbol that we assign to an unknown value. It is usually represented by letters such as x, y, or t. For example, we might say that l stands for the length of a rectangle and w stands for the width of the rectangle.
We use variables when we need to indicate how objects are related even though we may not know the exact values of the objects. For example, if we want to say that the length of a rectangle is 3 times the length of its width then we can write
l = 3 × w
The coefficient of a variable is the number that is placed in front of a variable.
For example, 3 × w can be written as 3w and 3 is the coefficient.
A term can be any of the following:
Like terms are terms that differ only in their numerical coefficients. For example: 3a, 22a, are like terms.
An expression is made up of one or more terms.
3w + 4xy + 5
An equation consists of two expressions separated by an equal sign. The expression on one side of the equal sign has the same value as the expression on the other side.
4 + 6 = 5 × 2
l = 3 × w
3w + 4xy + 5 = 2w + 3
A Quadratic Equation is an equation of the form:
ax2 + bx + c = 0, where a, b and c are numbers and a ≠ 0
x2 + 2x + 3 = 0
2x2 + 5x – 7 = 0
2x2 + 5x = 8 is a quadratic equation because it can be changed to 2x2 + 5x – 8 = 0
x2 + x = 0 is a quadratic with c = 0
2x2 – 7 = 0 is a quadratic with b = 0
2x + 3 = 0 is not a quadratic because a cannot be 0
This video shows the differences between an algebraic expression and an algebraic equation. It also explains terms, coefficients and constants.
This video gives the following algebra vocabulary.
Operation, term, variable, coefficient, expression, equation