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The given phrase is:

**"The difference between 4 times a number and 9 is equal to 17."**

Let the unknown number be represented by a variable, say \( x \).

- "4 times a number" is written as \( 4x \).
- The difference between 4 times a number and 9 is written as \( 4x - 9 \).
- This is equal to 17, so we set the equation as \( 4x - 9 = 17 \).

Thus, the algebraic equation is:

\[
4x - 9 = 17
\]

Would you like to see the steps to solve this equation or have any questions? Here are some related questions for further practice:

1. How do you solve \( 4x - 9 = 17 \)?
2. What happens if the phrase says "sum" instead of "difference"?
3. How would the equation change if it said "the product of 4 and a number"?
4. What if the number is squared instead of multiplied by 4?
5. How can you check your solution once you find \( x \)?

**Tip**: Always assign a variable (like \( x \)) to represent the unknown quantity in word problems to set up the equation correctly.

The difference between 4 times a number and 9 is equal to 17.

Learn how to solve the linear equation 4x - 9 = 17 step-by-step. This problem involves core algebraic concepts and is perfect for students in grades 6-8.

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