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Chapter 1: Problem 112

Translate from English to an algebraic expression or equation, whichever is appropriate. Let the variable \(x\) represent the number. The product of \(\frac{3}{4}\) and a number increased by 9

Short Answer

Expert verified
The translated algebraic expression is \(\frac{3x}{4} + 9\)

Step by step solution

01

Identifying the variable

Firstly, realize that the variable 'x' is representing the unknown number. This problem involves doing operations with this unknown number.
02

Translating 'the product of \(\frac{3}{4}\) and a number'

From this phrase, you must multiply \(\frac{3}{4}\) by the number (which we've defined as \(x\)). This leads to \(\frac{3}{4}x \) or \(\frac{3x}{4}\), both of which mean the same thing and can be used interchangeably.
03

Translating 'increased by 9'

This phrase means that you are to add 9. This part of the phrase brings '+9' to the expression we have formed already in Step 2. Thus the full expression becomes: \(\frac{3x}{4} + 9\)

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Most popular questions from this chapter

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