INTRODUCTION TO ALGEBRA

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What is Algebra?

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Algebra is a branch of mathematics that uses symbols and letters to represent numbers and quantities in formulas and equations.

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What is a variable in algebra?

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A variable is a symbol, often a letter, that represents an unknown value in an equation or expression.

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What does it mean to simplify an expression?

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To simplify an expression means to combine like terms and reduce it to its simplest form.

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What is a coefficient?

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A coefficient is a numerical factor in a term of an algebraic expression, indicating how many times the variable is multiplied.

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What is an algebraic expression?

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An algebraic expression is a combination of numbers, variables, and operations (like addition and multiplication) without an equality sign.

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What is the distributive property?

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The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

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What does it mean to combine like terms?

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Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

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What is a constant in algebra?

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A constant is a fixed value that does not change, represented by a number in an expression.

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What is the difference between an equation and an expression?

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An equation contains an equality sign (=) and shows that two expressions are equal, while an expression does not.

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What is the solution of an equation?

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The solution of an equation is the value of the variable that makes the equation true.