back to *math question and answer*
# What is the algebra expression and how to translate words into algebra expression?

- An algebra expression is a combination of terms and mathematical operations with no equal or inequality sign.

- Example 1:
- The words expression is : 3 less than two times the number x
- The algebra expression is : 2x - 3

- Note:
- 2x - 3 is a polynomial with two terms. Its first term is 2x and second term is -3, the second term is a constant term.
- 2x - 3 can be written as: 2x + (-3), so the two terms combined by the operation of add. A polynomial is an algebra expression in which the variables appear only with nonnegative integer exponents.

- Example 2:
- The words expression is: 6 more than five times the number x
- The algebra expression: 6 + 5x
- Note: The polynomial 6 + 5x can be written as: 5x + 6 which has two terms. Its first term is 5x and second term is 6.

- Example 3:
- Which of the following terms are algebra expressions? Which terms are not an algebra expressions?
- -2, x, 3x + 2, 5x
^{2}+ 2x - 3, x + 2 = 1, x - y = 0.

- Solution:
- -2, x, 3x + 2, 5x
^{2}+ 2x - 3 are algebra expressions. - x + 2 = 1, x - y = 0 are not algebra expressions. Since x + 2 = 1 and x - y = 0 contain the equal sign, so they are equations.

- Note:
- A polynomial containing only one term is called a monomial.
- A polynomial containing exactly two terms is called a binomial.
- A polynomial containing exactly three terms is called trinomial.
- A polynomial is an algebra expression.
- -2, x are monomial. 3x + 2 is a binomial. 5x
^{2}+ 2x - 3 is a trinomial.

- Reference more examples in this subject by
- (1). In home page, click the topic you interested under
**Algebra**in left panel, click back icon when finished. Or, - (2). Click
**Free Math Sign In**menu, click**Algebra I**icon, click the link you interested, when finish this section, click**Back**, click**Sign Out**button. Or, - (3). Click
**Member Math Sign In**menu, click**Algebra**menu, click**Algebra**button, click**Exercises of Algebra Lession 1**, look the**Exercise 1 - 7**, click**Back**, click**Answer of Algebra Lession 1**, when finish this section, click**Back**, click**Go to member home page**, click**Sign Out**button.

- Any question? please send your concern to
*support@mathtestpreparation.com*