Algebra
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Abstract algebra
Abstract algebra is a branch of mathematics that studies algebraic structures and their properties without getting bogged down in specific numbers or calculations. It’s like looking at the rules of the game without actually playing it. It explores sets of numbers with special rules, such as groups, rings, and fields. These rules help us understand…
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Elementary algebra – polynomials
Polynomials are mathematical expressions made up of variables, coefficients, and exponentiation. They can have one or more terms, where each term consists of a coefficient multiplied by one or more variables raised to non-negative integer exponents. Here’s a general form of a polynomial: In this expression: Here are some basic operations and concepts related to…
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Elementary algebra -equations
In mathematics, an equation is a statement that shows the equality of two mathematical expressions. It contains variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, and more. The goal of solving an equation is to find the values of the variables that make the equation true. Equations are used to model…
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Elementary algebra -inequalities
In mathematics, inequalities are statements that describe the relationship between two expressions, indicating that one expression is greater than, less than, greater than or equal to, less than or equal to, or not equal to the other expression. Inequalities are used to compare quantities and establish constraints or bounds on variables. The symbols commonly used…
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Elementary algebra -exponents
In elementary algebra, exponents are a fundamental concept used to represent repeated multiplication of a number by itself. An exponent is a small number written above and to the right of a base number, indicating how many times the base is multiplied by itself. The exponent tells us the power to which the base is…
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Elementary algebra -variables
In mathematics, variables are symbols or letters used to represent unknown or changing quantities in mathematical expressions, equations, and formulas. They allow us to generalize mathematical relationships and describe patterns and rules without specifying specific numerical values. Variables serve as placeholders for numbers or other mathematical entities, and their values can vary depending on the…
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Branches of algebra
Algebra is a broad field of mathematics that deals with operations and structures involving symbols and variables. It encompasses several branches, each focusing on different aspects of algebraic systems and their applications. Here are some of the main branches of algebra: Elementary Algebra: This is the foundational level of algebra taught in schools and introduces…
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Meet the Algebra
Algebra is a branch of mathematics that deals with the manipulation of symbols and equations to solve problems. It is often used to represent and analyze mathematical relationships, and to solve equations and find unknown values. In algebra, letters or symbols are used to represent unknown or variable quantities. For example, in the equation “2x…