Write an equation to represent the sentence.

The product of five and the sum of a number x and three is twelve.

The equation representing the sentence is:

\[
5(x + 3) = 12
\]

This equation expresses that the product of 5 and the sum of a number \( x \) and 3 equals 12.

Would you like more details or have any questions about this equation?

Here are 5 related questions:
1. How do you solve the equation \(5(x + 3) = 12\) for \(x\)?
2. What happens to the equation if the product is changed to 15 instead of 12?
3. How would the equation change if the number 3 is replaced with another variable, say \(y\)?
4. What is the significance of the distributive property in solving the equation \(5(x + 3) = 12\)?
5. How can you graph the equation \(5(x + 3) = 12\) on a coordinate plane?

**Tip:** When translating word problems into equations, identify key phrases like "the sum of" or "the product of" to determine the mathematical operations involved.

Learn how to write an equation for the problem 'The product of five and the sum of a number x and three is twelve.' This equation involves using the distributive property in algebra to express the mathematical relationship. Suitable for Grades 6-8.

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