Writing and Simplifying 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 simplify an algebraic expression?

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To simplify an algebraic expression means to combine like terms and reduce it to its simplest form.

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What is a term in an algebraic expression?

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A term is a single mathematical expression that can be a number, a variable, or a combination of both, separated by addition or subtraction.

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How do you identify like terms in an expression?

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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.

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What is the coefficient in an algebraic term?

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The coefficient is the numerical factor in a term. For example, in 4x, 4 is the coefficient.

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What does '9 less than a number' mean in algebraic terms?

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It means to subtract 9 from that number. If the number is represented by 't', it is written as t - 9.

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How do you express 'triple the difference of t and 11' in algebraic form?

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It is expressed as 3(t - 11).

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What is the total number of terms in the expression 3x - 6 + 4b + 5 + 7 - 2x?

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There are six terms in the expression.

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How do you evaluate the expression 3c + 7d when c = 3 and d = 2?

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Substituting the values gives 3(3) + 7(2) = 9 + 14 = 23.

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What is the number of terms in the expression -3c + 7d?

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There are two terms in the expression.