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HomeHomework HelpmathematicsFundamental Operations in Algebra

Fundamental Operations in Algebra

Fundamental operations in algebra refer to the basic mathematical processes, such as addition, subtraction, multiplication, and division, that form the foundation for solving algebraic expressions and equations.

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Mathematics
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Overview

Fundamental operations in algebra are the building blocks for solving equations and manipulating expressions. These operations include addition, subtraction, multiplication, and division, which can be applied to variables and constants. Understanding these operations is crucial for progressing in al...

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Key Terms

Variable
A symbol used to represent an unknown value.

Example: In the equation x + 2 = 5, x is a variable.

Expression
A combination of numbers, variables, and operations.

Example: 3x + 4 is an algebraic expression.

Coefficient
A numerical factor in a term of an expression.

Example: In 5x, 5 is the coefficient.

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.

Polynomial
An expression that consists of variables and coefficients, combined using addition, subtraction, and multiplication.

Example: x^2 + 3x + 2 is a polynomial.

Related Topics

Solving Linear Equations
Learn how to find the value of variables in linear equations using fundamental operations.
intermediate
Factoring Polynomials
Explore methods to factor polynomials, which is essential for simplifying expressions and solving equations.
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Graphing Linear Functions
Understand how to graph linear functions based on algebraic expressions and operations.
intermediate

Key Concepts

AdditionSubtractionMultiplicationDivision