Evaluate $b - 2a - C$ For $a = -3$, $b = 9$, And $c = -6$. A. 21 B. 6 C. 9 D. -3

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Introduction

In algebra, evaluating expressions is a crucial skill that helps us solve problems and make sense of mathematical equations. In this article, we will evaluate the expression $b - 2a - c$ for specific values of $a$, $b$, and $c$. We will use the given values of $a = -3$, $b = 9$, and $c = -6$ to substitute into the expression and simplify it.

Understanding the Expression

The expression $b - 2a - c$ is a linear expression that involves three variables: $a$, $b$, and $c$. The expression can be read as "b minus 2a minus c". To evaluate this expression, we need to substitute the given values of $a$, $b$, and $c$ into the expression and simplify it.

Substituting Values

To substitute the values of $a$, $b$, and $c$ into the expression, we will replace each variable with its corresponding value. We will start by substituting $a = -3$ into the expression.

Substituting $a = -3$

When we substitute $a = -3$ into the expression, we get:

$b - 2(-3) - c$

Simplifying the Expression

Now that we have substituted $a = -3$ into the expression, we can simplify it further. We will start by evaluating the term $2(-3)$.

Evaluating $2(-3)$

When we evaluate $2(-3)$, we get:

$-6$

So, the expression becomes:

$b - (-6) - c$

Further Simplification

Now that we have evaluated $2(-3)$, we can simplify the expression further. We will start by combining the terms $b$ and $-(-6)$.

Combining Terms

When we combine the terms $b$ and $-(-6)$, we get:

$b + 6 - c$

Substituting $b = 9$

Now that we have simplified the expression, we can substitute $b = 9$ into the expression.

Substituting $b = 9$

When we substitute $b = 9$ into the expression, we get:

$9 + 6 - c$

Further Simplification

Now that we have substituted $b = 9$ into the expression, we can simplify it further. We will start by combining the terms $9$ and $6$.

Combining Terms

When we combine the terms $9$ and $6$, we get:

$15 - c$

Substituting $c = -6$

Now that we have simplified the expression, we can substitute $c = -6$ into the expression.

Substituting $c = -6$

When we substitute $c = -6$ into the expression, we get:

$15 - (-6)$

Evaluating the Expression

Now that we have substituted $c = -6$ into the expression, we can evaluate it. We will start by evaluating the term $-(-6)$.

Evaluating $-(-6)$

When we evaluate $-(-6)$, we get:

$6$

So, the expression becomes:

$15 + 6$

Final Evaluation

Now that we have evaluated the expression, we can find the final answer. We will start by combining the terms $15$ and $6$.

Combining Terms

When we combine the terms $15$ and $6$, we get:

$21$

The final answer is $\boxed{21}$.

Conclusion

In this article, we evaluated the expression $b - 2a - c$ for specific values of $a$, $b$, and $c$. We used the given values of $a = -3$, $b = 9$, and $c = -6$ to substitute into the expression and simplify it. We found that the final answer is $\boxed{21}$. This demonstrates the importance of evaluating expressions in algebra and how it can be used to solve problems and make sense of mathematical equations.

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Introduction

In our previous article, we evaluated the expression $b - 2a - c$ for specific values of $a$, $b$, and $c$. We used the given values of $a = -3$, $b = 9$, and $c = -6$ to substitute into the expression and simplify it. In this article, we will answer some frequently asked questions (FAQs) related to evaluating the expression $b - 2a - c$.

Q&A

Q: What is the value of $b - 2a - c$ when $a = -3$, $b = 9$, and $c = -6$?

A: The value of $b - 2a - c$ when $a = -3$, $b = 9$, and $c = -6$ is $\boxed{21}$.

Q: How do I evaluate the expression $b - 2a - c$?

A: To evaluate the expression $b - 2a - c$, you need to substitute the given values of $a$, $b$, and $c$ into the expression and simplify it. You can start by substituting $a = -3$ into the expression, then substitute $b = 9$ and $c = -6$ into the expression.

Q: What is the first step in evaluating the expression $b - 2a - c$?

A: The first step in evaluating the expression $b - 2a - c$ is to substitute $a = -3$ into the expression. This will give you the expression $b - 2(-3) - c$.

Q: How do I simplify the expression $b - 2a - c$?

A: To simplify the expression $b - 2a - c$, you need to evaluate the term $2(-3)$ and then combine the terms $b$ and $-(-6)$. After that, you can substitute $b = 9$ and $c = -6$ into the expression and simplify it further.

Q: What is the final answer to the expression $b - 2a - c$ when $a = -3$, $b = 9$, and $c = -6$?

A: The final answer to the expression $b - 2a - c$ when $a = -3$, $b = 9$, and $c = -6$ is $\boxed{21}$.

Q: Can I use a calculator to evaluate the expression $b - 2a - c$?

A: Yes, you can use a calculator to evaluate the expression $b - 2a - c$. However, it's always a good idea to show your work and simplify the expression step by step to ensure that you get the correct answer.

Q: How do I check my answer to the expression $b - 2a - c$?

A: To check your answer to the expression $b - 2a - c$, you can plug in the values of $a$, $b$, and $c$ into the expression and simplify it. If you get the same answer as the one you found, then your answer is correct.

Conclusion

In this article, we answered some frequently asked questions (FAQs) related to evaluating the expression $b - 2a - c$. We provided step-by-step instructions on how to evaluate the expression and simplify it. We also provided the final answer to the expression when $a = -3$, $b = 9$, and $c = -6$. We hope that this article has been helpful in answering your questions and providing you with a better understanding of how to evaluate the expression $b - 2a - c$.