https://file.aiquickdraw.com/mathbot/file/1729462442609ifpcmwfr.jpg

Here are the equations based on the sentences in the image, using \( n \) as the unknown number:

i. A certain number is multiplied by 8, then 11 is added, and the result is 39:
\[
8n + 11 = 39
\]

ii. I think of a number, double it, add 7, and the result is 5:
\[
2n + 7 = 5
\]

iii. I think of a number, add 4, and then divide the result by 10. The answer is 7:
\[
\frac{n + 4}{10} = 7
\]

Would you like me to solve these equations or provide more details? 

Here are some related questions for further practice:
1. How do you solve the equation \( 8n + 11 = 39 \)?
2. What steps are needed to isolate \( n \) in \( 2n + 7 = 5 \)?
3. How do you handle fractions in an equation like \( \frac{n + 4}{10} = 7 \)?
4. What happens if the number in equation (ii) is tripled instead of doubled?
5. How can you check if your solutions are correct after solving?

**Tip**: Always reverse the operations in the correct order when solving equations to isolate the variable.

Translate each sentence into an equation, using n as the unknown number: i) A certain number is multiplied by 8, then 11 is added and the result is 39. ii) I think of a number, double it, add 7 and the result is 5. iii) I think of a number, add 4 and then divide the result by 10. The answer is 7.

Learn how to translate word problems into linear equations. This example covers solving three different equations with unknowns, including working with fractions and basic operations. Suitable for students in Grades 6-8.

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