Question
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Represent the following phrase as an algebraic expression, where "a number" is the letter x. You do not need to simplify. Nine times the cube of a number.

Ask by Gibson Curry. in the United States
Mar 12,2025

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Answer

The algebraic expression is \(9x^3\).

Solution

1. Let the number be represented by \(x\). 2. "The cube of a number" means raising \(x\) to the power of 3, which is written as \(x^3\). 3. "Nine times the cube of a number" means multiplying the cubed term by 9, written as \(9 \times x^3\) or \(9x^3\). The algebraic expression is: \[ 9x^3 \]

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Extra Insights

To represent "nine times the cube of a number" using the variable x, you would write it as 9x³. Now, let's dive into some historical tidbits! Did you know that the concept of algebra can be traced back to ancient civilizations, such as the Babylonians around 2000 BC? They used geometric methods to solve quadratic equations long before the formal development of algebraic notation! For real-world application, think about how algebra is used in various fields! Engineers utilize algebraic expressions to design structures, while economists apply them to model financial situations. So, those seemingly abstract equations are the foundation of innovations and decisions we encounter daily!

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