Translate this sentence into an equation.


*The product of* 

*8*

 *and Diane's savings is* 

*112*

*.*

Use the variable 

*d*

 to represent Diane's savings.

Let's represent Diane's savings with the variable \( d \).

The phrase "The product of 8 and Diane's savings" can be written as \( 8 \times d \) or simply \( 8d \).

The phrase "is 112" indicates that this expression is equal to 112.

Putting it all together, the equation is:

\[
8d = 112
\]

Would you like to solve this equation or have any other questions?

Here are 8 related questions:

1. How would you solve the equation \( 8d = 112 \)?
2. What would the equation be if the product of 5 and Diane's savings is 200?
3. How do you translate "the product of 10 and Diane's savings is 250" into an equation?
4. What does the equation \( 3d = 90 \) represent in words?
5. How would the equation change if "the product of 8 and Diane's savings is twice 112"?
6. What is the next step after writing an equation like \( 8d = 112 \)?
7. Can you express the sum of Diane's savings and another amount as an equation?
8. How would you write an equation if 8 times Diane's savings plus 20 equals 112?

**Tip:** When dealing with word problems involving multiplication, phrases like "the product of" typically signal that you should multiply the given number by the variable.

Learn how to translate word problems into equations using the example "The product of 8 and Diane's savings is 112." Understand the concept of representing unknown quantities with variables and solving simple equations. Suitable for students in Grades 5-6.

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