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# 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, 5x2 + 2x - 3, x + 2 = 1, x - y = 0.
Solution:
-2, x, 3x + 2, 5x2 + 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. 5x2 + 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.
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