2. It is formed by combining numbers and variables using any of the four fundamental operations (+,-,x,÷), powers and roots. Definition: 2x + 1 Examples: 3 + 2x 2 – y

3. aare letters used to represent certain values or quantities. 3x + 2 Example: variable

4. o Constants or constant terms o Term o Numerical Coefficients o Literal Coefficients o Variable Terms

5.  numbers and letters combined by multiplication that serves as its major operation. Example: 2x 3y 2 (x + y) 2 = (x + y)(x + y)

6.  are the terms that have no variables, only numbers.  terms that are not constants (Note: algebraic expression does not contain the “=“ sign) Example: 3x 2 + 2xy – 7y 3 + 35 35 constant term 3x 2, 2xy, -7y 3 variable terms

7.  the number parts of each terms Example:  literal number parts of each terms 4y 3 + 2x 2 - 1 4, 2, -1 numerical coefficients y 3, x 2 literal coefficients

8.  The number of terms of an algebraic expression is determined by the plus and minus operations.

9. Algebraic ExpressionNumber of Terms 3x 4 + ¼ x 3 2x - 8 4 -2xy + 5x 2 + 7y 3 x + y 2 (x + y) 2 Note: (x + y) is taken as one quantity, meaning, a variable z may represent x + y that would result to z 2, therefore, it is 1 term. 1 5x(2y-2) + 4(y-3) one term + one term 2 Study the following table:

10. Exercise: Algebraic Expression VariablesConstant Term Variable Term Numerical Coefficient Literal Coefficient No. of Terms -2x 3 + 3x 2 - 40 5x 2 y - z abd 3 f -1 1 – y + z 2 + π x 2 y -1 (c 3 – 24)