Algebraic Expressions

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What is an algebraic expression?

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An algebraic expression is a mathematical phrase that can include numbers, variables (like x or y), and operation symbols (like +, -, *, /). It does not have an equality sign.

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What does it mean to simplify an algebraic expression?

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To simplify an algebraic expression means to combine like terms and perform any operations to make the expression as compact as possible.

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What are like terms in algebra?

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Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 4y are not.

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How do you combine like terms?

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To combine like terms, add or subtract their coefficients. For example, 3x + 5x = 8x.

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What is the distributive property?

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The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a parenthesis.

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What is the formula to calculate a percentage discount?

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The sale price after a discount can be calculated using the formula: Sale Price = Original Price - (Discount Rate × Original Price).

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What does it mean to evaluate an expression?

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To evaluate an expression means to calculate its value by substituting the variables with specific numbers.

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