Translate each of the following mathematical sentences into an equation. Use *n* to represent the variable.
 

Select one:

a.

36 + 90 = n3

b.

36 + 3n = 90

c.

36 + n3 = 90

d.

36 + 90 = 3n

The mathematical sentence "The sum of 36 and three times a number is 90" can be translated into the equation:

**36 + 3n = 90**

So, the correct answer is **b**.

Would you like a detailed explanation or have any further questions?

Here are 5 related questions to expand your understanding:
1. How would you solve the equation \(36 + 3n = 90\) for \(n\)?
2. How would the equation change if the sentence were "The difference between 90 and three times a number is 36"?
3. How does the equation change if you replace "three times a number" with "four times a number"?
4. How can you graph the equation \(36 + 3n = 90\) on a coordinate plane?
5. What does the variable \(n\) represent in real-world contexts?

**Tip:** When translating verbal expressions to equations, pay close attention to key terms like "sum," "difference," and "times," which correspond to addition, subtraction, and multiplication.

Translate each of the following mathematical sentences into an equation. Use *n* to represent the variable.

Select one:

a.
36 + 90 = n3

b.
36 + 3n = 90

c.
36 + n3 = 90

d.
36 + 90 = 3n

Learn how to translate the verbal mathematical sentence 'The sum of 36 and three times a number is 90' into an algebraic equation. This lesson covers key algebraic concepts, such as translating verbal expressions into equations and solving linear equations. Suitable for students in Grades 6-8.

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