Algebra Review: Simplify and Solve Equations

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What is the distributive property in algebra?

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The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

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What is the first step to solve the equation: 30 = 5(x + 8)?

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Divide both sides by 5 to isolate the term with x.

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What does it mean to isolate a variable in an equation?

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Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the opposite side.

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What is an equation?

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An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

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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 mathematical expressions and equations.

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What does it mean to simplify an expression?

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To simplify an expression means to reduce it to its simplest form by combining like terms and eliminating unnecessary parentheses.