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HomeHomework HelpmathematicsRules of Algebra

Rules of Algebra

The rules of algebra are a set of mathematical principles that govern the manipulation of algebraic expressions and equations, including operations like addition, subtraction, multiplication, and division, as well as properties like distributivity and the handling of negative numbers.

beginner
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Mathematics
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The rules of algebra are essential for solving mathematical problems involving variables and equations. Understanding these rules, such as the order of operations, combining like terms, and the distributive property, allows students to manipulate expressions effectively. Mastery of these concepts is...

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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 expression.

Equation
A mathematical statement that two expressions are equal.

Example: 2x + 3 = 7 is an equation.

Coefficient
A number that multiplies a variable.

Example: In 4x, 4 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.

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Functions
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Key Concepts

Order of OperationsCombining Like TermsDistributive PropertySolving Equations