Question

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

Which equation models this sentence?

8 – *n* ÷ 3 = 18

n ÷ 3 – 8 = 18

8 = *n* – 3 ÷ 18

n ÷ (3 – 8) = 18

The correct equation that models the sentence "Eight less than the quotient of a number and 3 is 18" is:

\[
n \div 3 - 8 = 18
\]

This matches the option:

**\( n \div 3 - 8 = 18 \)**

Would you like more details on how this equation corresponds to the sentence, or do you have any other questions?

Here are 5 related questions you might find helpful:
1. How do you solve the equation \( n \div 3 - 8 = 18 \) for \( n \)?
2. What would the equation look like if it said "eight more than the quotient of a number and 3"?
3. How do you check if a given value of \( n \) satisfies the equation \( n \div 3 - 8 = 18 \)?
4. What is the importance of the order of operations in interpreting this problem?
5. How would the equation change if instead of "less than," the problem used "more than"?

**Tip:** Carefully match each part of the sentence to the corresponding mathematical operation to ensure the equation accurately models the given situation.

Understand how to model the sentence "Eight less than the quotient of a number and 3 is 18" with a detailed explanation of the equation n ÷ 3 - 8 = 18. This problem involves equations and quotients, suitable for students in Grades 7-9.

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