Algebraic Expression for the Reduced Price

Oct 13, 2025 by recoveryshake.com 129 views

Understanding the Problem

In this problem, we are given that the original price of a motorcycle was reduced by $275. We need to find an algebraic expression that represents the reduced price, where $p$ represents the motorcycle's original price in dollars.

Breaking Down the Problem

To find the reduced price, we need to subtract the amount of the reduction from the original price. In this case, the reduction is $275, and the original price is represented by $p$ . Therefore, we need to subtract $275 from $p$ to find the reduced price.

Algebraic Expression for the Reduced Price

The algebraic expression that represents the reduced price is $p - 275$ . This expression subtracts $275 from the original price $p$ , resulting in the reduced price.

Why is the Correct Answer $p - 275$ ?

The correct answer is $p - 275$ because it accurately represents the reduction in the original price. By subtracting $275 from $p$ , we are essentially removing the reduction from the original price, resulting in the reduced price.

Why are the Other Options Incorrect?

The other options are incorrect because they do not accurately represent the reduction in the original price.

Option B: $275p$ is incorrect because it multiplies the reduction by the original price, rather than subtracting the reduction from the original price.
Option C: $275 - p$ is incorrect because it subtracts the original price from the reduction, rather than subtracting the reduction from the original price.
Option D is not provided, but it is likely incorrect for the same reasons as the other options.

Conclusion

In conclusion, the algebraic expression that represents the reduced price is $p - 275$ . This expression accurately represents the reduction in the original price by subtracting $275 from $p$ .

Reduced Price Formula

The reduced price formula is:

Reduced Price = Original Price - Reduction

In this case, the reduced price formula is:

Reduced Price = $p - 275$

Example Use Case

Suppose the original price of the motorcycle is $1000. To find the reduced price, we can plug in $p = 1000$ into the reduced price formula:

Reduced Price = $1000 - 275$ Reduced Price = $725$

Therefore, the reduced price of the motorcycle is $725.

Key Takeaways

The algebraic expression that represents the reduced price is $p - 275$ .
The reduced price formula is Reduced Price = Original Price - Reduction.
The reduced price can be found by subtracting the reduction from the original price.

Final Thoughts

Q: What is the original price of a motorcycle?

A: The original price of a motorcycle is represented by the variable $p$ .

Q: What is the reduction in the original price?

A: The reduction in the original price is $275.

Q: What is the algebraic expression that represents the reduced price?

A: The algebraic expression that represents the reduced price is $p - 275$ .

Q: Why is the correct answer $p - 275$ ?

A: The correct answer is $p - 275$ because it accurately represents the reduction in the original price. By subtracting $275 from $p$ , we are essentially removing the reduction from the original price, resulting in the reduced price.

Q: What is the reduced price formula?

A: The reduced price formula is:

Reduced Price = Original Price - Reduction

In this case, the reduced price formula is:

Reduced Price = $p - 275$

Q: How do I find the reduced price if I know the original price?

A: To find the reduced price, you can plug in the original price into the reduced price formula:

Reduced Price = Original Price - Reduction

For example, if the original price is $1000, the reduced price would be:

Reduced Price = $1000 - 275$ Reduced Price = $725$

Q: What if I want to find the original price if I know the reduced price?

A: To find the original price, you can rearrange the reduced price formula:

Original Price = Reduced Price + Reduction

For example, if the reduced price is $725 and the reduction is $275, the original price would be:

Original Price = $725 + 275$ Original Price = $1000$

Q: Can I use the reduced price formula to find the original price if the reduction is not $275?

A: Yes, you can use the reduced price formula to find the original price if the reduction is not $275. Simply plug in the reduced price and the new reduction into the formula:

Original Price = Reduced Price + New Reduction

For example, if the reduced price is $725 and the new reduction is $200, the original price would be:

Original Price = $725 + 200$ Original Price = $925$

Q: What if I want to find the reduction if I know the original price and the reduced price?

A: To find the reduction, you can rearrange the reduced price formula:

Reduction = Original Price - Reduced Price

For example, if the original price is $1000 and the reduced price is $725, the reduction would be:

Reduction = $1000 - 725$ Reduction = $275$

Q: Can I use the reduced price formula to find the reduction if the original price is not $1000?

A: Yes, you can use the reduced price formula to find the reduction if the original price is not $1000. Simply plug in the original price and the reduced price into the formula:

Reduction = Original Price - Reduced Price

For example, if the original price is $1200 and the reduced price is $875, the reduction would be:

Reduction = $1200 - 875$ Reduction = $325$

Conclusion

In this Q&A article, we answered common questions about the original price of a motorcycle and the reduced price formula. We explained how to use the reduced price formula to find the reduced price, the original price, and the reduction. We also provided examples to illustrate how to use the formula in different scenarios.