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, and operation symbols. For example, 3x + 5 is an algebraic expression.

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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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What is a variable in algebra?

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

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What is the difference between an expression and an equation?

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An expression is a combination of numbers, variables, and operations without an equality sign, while an equation states that two expressions are equal.

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What does 'the quotient of a number and 8' mean?

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It refers to dividing a number (represented by a variable, like g) by 8, written as g ÷ 8.

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How do you combine like terms in an expression?

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To combine like terms, add or subtract the coefficients of terms that have the same variable raised to the same power.

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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 is the result of evaluating x - y if x = 64 and y = 27?

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The result is 37, since 64 - 27 = 37.

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What does it mean for two expressions to be equivalent?

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Two expressions are equivalent if they have the same value for all values of the variables involved.

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What is the expression for 'p divided by 9'?

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The expression is p ÷ 9.