Algebraic Expressions

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What is an algebraic expression?

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An algebraic expression is a mathematical phrase that includes numbers, variables, and operation symbols. For example, 3x + 5 is an algebraic expression.

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What is a coefficient in an algebraic expression?

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A coefficient is a numerical factor that multiplies a variable in an algebraic expression. For example, in 7c, 7 is the coefficient.

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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 expression or equation. For example, in the expression 4x, 'x' is the variable.

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How do you identify the number of terms in an expression?

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To identify the number of terms in an expression, count the number of separate parts that are added or subtracted. For example, in 5^2 + 7n - 2f, there are 3 terms.

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What does it mean to simplify an algebraic expression?

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Simplifying an algebraic expression means to combine like terms and reduce it to its simplest form. For example, 2x + 3x simplifies to 5x.

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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, using an equality sign.

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What does the term 'like terms' mean?

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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, but 3x and 4y are not.

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What does 'evaluate' an expression mean?

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To evaluate an expression means to calculate its value by substituting the variables with specific numbers. For example, to evaluate 2x + 3 when x = 2, substitute 2 for x to get 2(2) + 3 = 7.

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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 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 and exponent. For example, 4x + 2x = 6x.