Simplifying Algebraic Expressions

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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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6 + 24x or 24x + 6

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What does it mean to combine like terms?

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Combining like terms means to add or subtract terms that have the same variable raised to the same power.

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40x

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What is a coefficient in an algebraic expression?

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A coefficient is a numerical factor in a term of an algebraic expression. For example, in 5x, 5 is the coefficient.

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-7d

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What is the difference between a positive and a negative coefficient?

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A positive coefficient indicates a positive value, while a negative coefficient indicates a negative value, affecting the overall sign of the term.

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-6x + 4y or 4y - 6x

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What is the additive inverse?

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The additive inverse of a number is what you add to that number to get zero. For example, the additive inverse of 5 is -5.

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-8x