Algebraic expression

Definition

An algebraic expression is a mathematical phrase that includes numbers, variables, and operational symbols. It does not include an equality sign and represents a value.

5 Must Know Facts For Your Next Test

1. An algebraic expression can contain constants (fixed numbers), variables (letters representing numbers), and operations (such as addition, subtraction, multiplication, and division).
2. Common examples of algebraic expressions are $3x + 2$, $4a - b$, and $\frac{2}{3}y + 7$.
3. Algebraic expressions can be simplified by combining like terms or using the distributive property.
4. Expressions can be evaluated by substituting values for the variables.
5. The degree of an algebraic expression depends on the highest power of the variable present in the expression.

Review Questions

• What components make up an algebraic expression?
• How can you simplify an algebraic expression?
• What is meant by evaluating an algebraic expression?

Related terms

Variable: A symbol, usually a letter, used to represent one or more numbers.

Constant: A fixed value in an algebraic expression that does not change.

Coefficient: A numerical or constant quantity placed before a variable in an algebraic term.