# 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*