Comprehensive Math Articles

Here you can find our latest math articles explaining everything math-related, from the easiest to the most complex.

Algebra

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Fundamentals of Algebra

Algebra is a branch of mathematics that uses symbols and letters to represent numbers and quantities in formulas and equations. It provides a systematic way to express mathematical relationships and solve problems.

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Understanding Variables and Expressions

In algebra, we use symbols to represent numbers and relationships. These symbols help us write equations and solve problems more efficiently. The three key components we will explore are variables, constants, and algebraic expressions.

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Order of Operations (PEMDAS)

When solving mathematical expressions, it is important to follow the correct sequence of operations. The order of operations ensures that everyone evaluates expressions the same way and gets the correct result.

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Simplifying Algebraic Expressions

In algebra, simplifying expressions makes them easier to work with by reducing complexity while keeping the value unchanged. Two key techniques for simplification are combining like terms and using the distributive property.

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Solving One-Step and Two-Step Equations

Solving basic linear equations involves isolating the variable to determine its value. These equations can be categorized as one-step or two-step equations.

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Multi-Step Equations and Variables on Both Sides

Solving multi-step equations requires performing multiple operations to isolate the variable. These equations may also include variables on both sides, which need to be combined before solving.

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Solving Absolute Value Equations

Absolute value represents the distance of a number from zero on the number line, always resulting in a non-negative value. Solving absolute value equations involves considering both positive and negative solutions.

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