The Value Of The Expression $\frac{2x^2}{x} + X(100 - 15x)$ When $x = 5$ Is:A. 119 B. 129 C. 135 D. 145
Introduction
In mathematics, expressions are used to represent a value or a relationship between variables. Evaluating an expression involves substituting values for the variables and simplifying the resulting expression. In this article, we will evaluate the expression $\frac{2x^2}{x} + x(100 - 15x)$ when $x = 5$.
Understanding the Expression
The given expression is a combination of two terms: $\frac{2x^2}{x}$ and $x(100 - 15x)$. To evaluate this expression, we need to simplify each term separately.
Simplifying the First Term
The first term is $\frac{2x^2}{x}$. We can simplify this term by canceling out the common factor of $x$ in the numerator and denominator.
This simplification is possible because the variable $x$ is present in both the numerator and denominator.
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 simplification is possible because $x$ is a common factor in both terms.
Combining the Terms
Now that we have simplified each term, we can combine them to get the final expression.
Evaluating the Expression
We are given that $x = 5$. We can substitute this value into the expression and evaluate it.
Conclusion
In this article, we evaluated the expression $\frac{2x^2}{x} + x(100 - 15x)$ when $x = 5$. We simplified each term separately and then combined them to get the final expression. Finally, we substituted $x = 5$ into the expression and evaluated it to get the value of $135$.
Final Answer
The final answer is $\boxed{135}$.
Introduction
In our previous article, we evaluated the expression $\frac{2x^2}{x} + x(100 - 15x)$ when $x = 5$. We simplified each term separately and then combined them to get the final expression. Finally, we substituted $x = 5$ into the expression and evaluated it to get the value of $135$. In this article, we will answer some frequently asked questions related to this topic.
Q&A
Q: What is the value of the expression $\frac{2x^2}{x} + x(100 - 15x)$ when $x = 5$?
A: The value of the expression $\frac{2x^2}{x} + x(100 - 15x)$ when $x = 5$ is $135$.
Q: How do I simplify the first term $\frac{2x^2}{x}$?
A: You can simplify the first term $\frac{2x^2}{x}$ by canceling out the common factor of $x$ in the numerator and denominator. This simplification is possible because the variable $x$ is present in both the numerator and denominator.
Q: How do I simplify the second term $x(100 - 15x)$?
A: You can simplify the second term $x(100 - 15x)$ by distributing $x$ to the terms inside the parentheses. This simplification is possible because $x$ is a common factor in both terms.
Q: What is the final expression after combining the two terms?
A: The final expression after combining the two terms is $2x + 100x - 15x^2$.
Q: How do I evaluate the expression when $x = 5$?
A: You can evaluate the expression when $x = 5$ by substituting $x = 5$ into the expression and simplifying it. This involves multiplying and adding the terms as necessary.
Q: What is the value of the expression when $x = 5$?
A: The value of the expression when $x = 5$ is $135$.
Common Mistakes
When evaluating the expression $\frac{2x^2}{x} + x(100 - 15x)$, some common mistakes to avoid include:
- Not canceling out the common factor of $x$ in the first term
- Not distributing $x$ to the terms inside the parentheses in the second term
- Not combining the two terms correctly
- Not substituting $x = 5$ into the expression correctly
Conclusion
In this article, we answered some frequently asked questions related to the expression $\frac{2x^2}{x} + x(100 - 15x)$ when $x = 5$. We provided step-by-step instructions on how to simplify each term, combine the terms, and evaluate the expression when $x = 5$. We also highlighted some common mistakes to avoid when evaluating this expression.
Final Answer
The final answer is $\boxed{135}$.