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