Writing Algebraic Expressions

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What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 2x + 3 is an algebraic expression.

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What does 'twice a number' mean in algebra?

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'Twice a number' means to multiply that number by 2. If the number is represented by the variable t, then 'twice t' is written as 2t.

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How do you express '6 fewer than twice t' in algebraic form?

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The expression is 2t - 6.

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What does 'subtracted from' indicate in an expression?

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'Subtracted from' indicates that the number following this phrase is being taken away from the number before it. For example, '13 subtracted from t' is written as t - 13.

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How do you represent a rental fee plus an hourly rate in an expression?

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The expression combines the fixed rental fee and the variable hourly rate. For example, if the rental fee is $10 and the hourly rate is $2 per hour, the expression is 10 + 2h.

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What does the variable 'h' represent in the context of a rental fee?

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In this context, 'h' represents the number of hours the bicycle is rented.

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If c represents the number of CDs Emily has, how do you express the number of CDs Nate has if he has 6 fewer?

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Nate's number of CDs is expressed as c - 6.

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What does 'saves $50 per month' mean in an algebraic expression?

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It means that for each month, $50 is added to the total savings. If m represents the number of months, the expression is 50m.

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How do you express Gerson's total savings after m months if he starts with $200?

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Gerson's total savings after m months is expressed as 200 + 50m.

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What is the difference between a variable and a constant in algebra?

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A variable is a symbol (like x or t) that represents an unknown value, while a constant is a fixed value (like 5 or 200).