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HomeHomework HelpmathematicsAlgebraic Expressions

Algebraic Expressions

Algebraic expressions are mathematical phrases that can contain numbers, variables, and operators. They represent relationships and allow for the formulation of equations and inequalities.

beginner
2 hours
Mathematics
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Overview

Algebraic expressions are foundational in mathematics, allowing us to represent relationships and solve problems. They consist of variables, coefficients, and operations, which can be manipulated using algebraic rules. Understanding how to work with these expressions is crucial for progressing in ma...

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Key Terms

Variable
A symbol used to represent an unknown value.

Example: In the expression x + 5, x is a variable.

Coefficient
A numerical factor in a term.

Example: In 3x, 3 is the coefficient.

Term
A single mathematical expression that can be a number, variable, or the product of both.

Example: In 4x + 7, 4x and 7 are terms.

Expression
A combination of numbers, variables, and operations.

Example: 2x + 3 is an algebraic expression.

Like Terms
Terms that have the same variable raised to the same power.

Example: 3x and 5x are like terms.

Distributive Property
A property that allows you to multiply a sum by multiplying each addend separately.

Example: a(b + c) = ab + ac.

Related Topics

Linear Equations
Linear equations involve expressions that equal a value and can be solved for variables.
intermediate
Polynomials
Polynomials are algebraic expressions that consist of multiple terms and can be added, subtracted, or multiplied.
intermediate
Factoring
Factoring involves breaking down expressions into simpler components, often used in solving equations.
advanced

Key Concepts

VariablesCoefficientsTermsOperations