Eight less than the quotient of a number and 3 is 18.

Which equation models this sentence?

The sentence "Eight less than the quotient of a number and 3 is 18" can be modeled by the following equation:

\[
\frac{x}{3} - 8 = 18
\]

Where \( x \) represents the unknown number.

Would you like more details on how this equation is derived, or do you have any other questions?

Here are 5 related questions you might find interesting:
1. How do you solve the equation \(\frac{x}{3} - 8 = 18\) for \(x\)?
2. What happens if you change "eight less than" to "eight more than" in the original sentence?
3. How would the equation change if the quotient was with 4 instead of 3?
4. What if the sentence had said "twice the quotient" instead of "the quotient"?
5. How do you interpret the equation if \( x \) were a negative number?

**Tip:** When translating word problems into equations, focus on identifying key phrases like "less than," "quotient," and "is" to correctly structure the equation.

Understand how to model the equation \(\frac{x}{3} - 8 = 18\), where \( x \) represents an unknown number. This problem involves algebraic manipulation and understanding quotients in equations. Suitable for students in Grades 7-9.

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