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# ﻿Algebraic Operations

In algebra, there are various operations that are commonly used to manipulate and solve equations. These operations include:

• Addition: Combining two or more numbers to find their sum.
• Subtraction: Finding the difference between two numbers.
2. Multiplication and Division:

• Multiplication: Combining two or more numbers to find their product.
• Division: Splitting a number into equal parts or finding the quotient of two numbers.

• Exponents: Representing repeated multiplication of a number by itself.
• Radicals: Finding the root of a number, such as square roots or cube roots.
4. Equations and Inequalities:

• Equations: Mathematical statements that assert the equality of two expressions.
• Inequalities: Mathematical statements that assert the relationship between two expressions using symbols like <, >, ≤, or ≥.
5. Factoring and Simplifying:

• Factoring: Breaking down an expression into its factors.
• Simplifying: Reducing an expression to its simplest form by combining like terms or using algebraic properties.
6. Solving Linear Equations:

• Linear equations: Equations that involve variables raised to the power of 1.
• Steps to solve linear equations: Isolate the variable, perform inverse operations, and simplify to find the solution.

• Quadratic equations: Equations that involve variables raised to the power of 2.
• Methods to solve quadratic equations: Factoring, completing the square, or using the quadratic formula.
8. Systems of Equations:

• Systems of equations: A set of equations with multiple variables.
• Methods to solve systems of equations: Substitution, elimination, or using matrices.

By understanding and applying these algebraic operations, you can solve various mathematical problems and equations.

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