The Value Of The Expression 2 X 2 X + X ( 100 − 15 X \frac{2 X^2}{x} + X(100 - 15x X 2 X 2 ​ + X ( 100 − 15 X ] When X = 5 X = 5 X = 5 Is:A. 119 B. 129 C. 135 D. 145

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Introduction

In mathematics, evaluating expressions is a crucial skill that helps us solve problems and make informed decisions. When given an expression and a specific value for the variable, we need to substitute the value into the expression and simplify it to find the final result. In this article, we will explore the value of the expression $\frac{2 x^2}{x} + x(100 - 15x)$ when $x = 5$.

Understanding the Expression

The given expression is a combination of two terms: $\frac{2 x^2}{x}$ and $x(100 - 15x)$. To evaluate this expression, we need to simplify each term separately and then combine them.

Simplifying the First Term

The first term is $\frac{2 x^2}{x}$. We can simplify this term by canceling out the common factor of $x$ in the numerator and denominator. This leaves us with $2x$.

Simplifying the Second Term

The second term is $x(100 - 15x)$. We can simplify this term by distributing $x$ to the terms inside the parentheses. This gives us $100x - 15x^2$.

Combining the Terms

Now that we have simplified each term, we can combine them to get the final expression: $2x + 100x - 15x^2$.

Evaluating the Expression when $x = 5$

To find the value of the expression when $x = 5$, we need to substitute $x = 5$ into the expression and simplify it.

Substituting $x = 5$ into the Expression

When we substitute $x = 5$ into the expression, we get:

$2(5) + 100(5) - 15(5)^2$

Simplifying the Expression

Now, we can simplify the expression by evaluating the terms:

$2(5) = 10$ $100(5) = 500$ $15(5)^2 = 15(25) = 375$

Substituting these values back into the expression, we get:

$10 + 500 - 375$

Evaluating the Final Result

Now, we can evaluate the final result by adding and subtracting the terms:

$10 + 500 = 510$ $510 - 375 = 135$

Therefore, the value of the expression $\frac{2 x^2}{x} + x(100 - 15x)$ when $x = 5$ is 135.

Conclusion

In this article, we evaluated the expression $\frac{2 x^2}{x} + x(100 - 15x)$ when $x = 5$. We simplified each term separately and then combined them to get the final expression. By substituting $x = 5$ into the expression and simplifying it, we found that the value of the expression is 135. This demonstrates the importance of following the order of operations and simplifying expressions to find the final result.

Frequently Asked Questions

• What is the value of the expression $\frac{2 x^2}{x} + x(100 - 15x)$ when $x = 5$?
• How do we simplify the expression $\frac{2 x^2}{x} + x(100 - 15x)$?
• What is the final result when we substitute $x = 5$ into the expression?

Final Answer

The final answer is $\boxed{135}$.

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Introduction

In our previous article, we evaluated the expression $\frac{2 x^2}{x} + x(100 - 15x)$ when $x = 5$ and found that the value of the expression is 135. In this article, we will answer some frequently asked questions related to the expression and provide additional insights.

Q&A

Q: What is the value of the expression $\frac{2 x^2}{x} + x(100 - 15x)$ when $x = 5$?

A: The value of the expression $\frac{2 x^2}{x} + x(100 - 15x)$ when $x = 5$ is 135.

Q: How do we simplify the expression $\frac{2 x^2}{x} + x(100 - 15x)$?

A: To simplify the expression, we need to cancel out the common factor of $x$ in the numerator and denominator of the first term, and then distribute $x$ to the terms inside the parentheses of the second term.

Q: What is the final result when we substitute $x = 5$ into the expression?

A: When we substitute $x = 5$ into the expression, we get $2(5) + 100(5) - 15(5)^2$. Simplifying this expression, we get $10 + 500 - 375$, which equals 135.

Q: Can we use a calculator to evaluate the expression?

A: Yes, we can use a calculator to evaluate the expression. However, it's always a good idea to understand the underlying math and simplify the expression manually to ensure accuracy.

Q: What if we make a mistake in simplifying the expression?

A: If we make a mistake in simplifying the expression, we may get an incorrect result. To avoid this, it's essential to double-check our work and ensure that we follow the order of operations correctly.

Q: Can we use this method to evaluate other expressions?

A: Yes, we can use this method to evaluate other expressions. The key is to simplify the expression by canceling out common factors, distributing terms, and following the order of operations.

Additional Insights

• When evaluating expressions, it's essential to follow the order of operations (PEMDAS) to ensure accuracy.
• Simplifying expressions can help us avoid errors and make calculations easier.
• Understanding the underlying math is crucial to evaluating expressions correctly.

Conclusion

In this article, we answered some frequently asked questions related to the expression $\frac{2 x^2}{x} + x(100 - 15x)$ and provided additional insights. By following the order of operations and simplifying expressions, we can evaluate expressions accurately and make informed decisions.

Frequently Asked Questions

• How do I simplify the expression $\frac{2 x^2}{x} + x(100 - 15x)$?
• What is the final result when I substitute $x = 5$ into the expression?
• Can I use a calculator to evaluate the expression?
• What if I make a mistake in simplifying the expression?

Final Answer

The final answer is $\boxed{135}$.