Evaluate The Expression $x^3 - 2y + 3$ If $x = -5$ And $y = -2$.

Introduction

In mathematics, evaluating an expression involves substituting given values for the variables in the expression and then simplifying the resulting expression. In this article, we will evaluate the expression $x^3 - 2y + 3$ if $x = -5$ and $y = -2$. This involves substituting the given values of $x$ and $y$ into the expression and then simplifying the resulting expression.

Substituting the Given Values

To evaluate the expression $x^3 - 2y + 3$, we need to substitute the given values of $x$ and $y$ into the expression. The given values are $x = -5$ and $y = -2$. Substituting these values into the expression, we get:

$$(-5)^3 - 2(-2) + 3$$

Simplifying the Expression

Now that we have substituted the given values into the expression, we need to simplify the resulting expression. To simplify the expression, we need to follow the order of operations (PEMDAS):

1. Evaluate the exponentiation: $(-5)^3 = -125$
2. Evaluate the multiplication: $-2(-2) = 4$
3. Add and subtract from left to right: $-125 + 4 + 3 = -118$

Conclusion

In conclusion, the value of the expression $x^3 - 2y + 3$ if $x = -5$ and $y = -2$ is $-118$. This involves substituting the given values of $x$ and $y$ into the expression and then simplifying the resulting expression.

Step-by-Step Solution

Here is the step-by-step solution to evaluate the expression $x^3 - 2y + 3$ if $x = -5$ and $y = -2$:

1. Substitute the given values of $x$ and $y$ into the expression: $(-5)^3 - 2(-2) + 3$
2. Evaluate the exponentiation: $(-5)^3 = -125$
3. Evaluate the multiplication: $-2(-2) = 4$
4. Add and subtract from left to right: $-125 + 4 + 3 = -118$

Frequently Asked Questions

Here are some frequently asked questions about evaluating the expression $x^3 - 2y + 3$ if $x = -5$ and $y = -2$:

• Q: What is the value of the expression $x^3 - 2y + 3$ if $x = -5$ and $y = -2$? A: The value of the expression $x^3 - 2y + 3$ if $x = -5$ and $y = -2$ is $-118$.
• Q: How do I evaluate the expression $x^3 - 2y + 3$ if $x = -5$ and $y = -2$? A: To evaluate the expression $x^3 - 2y + 3$ if $x = -5$ and $y = -2$, you need to substitute the given values of $x$ and $y$ into the expression and then simplify the resulting expression.

Example Problems

Here are some example problems to evaluate the expression $x^3 - 2y + 3$ if $x = -5$ and $y = -2$:

• Evaluate the expression $x^3 - 2y + 3$ if $x = 2$ and $y = 3$.
• Evaluate the expression $x^3 - 2y + 3$ if $x = -2$ and $y = -1$.

Tips and Tricks

Here are some tips and tricks to evaluate the expression $x^3 - 2y + 3$ if $x = -5$ and $y = -2$:

• Make sure to substitute the given values of $x$ and $y$ into the expression correctly.
• Follow the order of operations (PEMDAS) to simplify the resulting expression.
• Check your work by plugging in the values of $x$ and $y$ into the expression and simplifying it.

Conclusion

In conclusion, evaluating the expression $x^3 - 2y + 3$ if $x = -5$ and $y = -2$ involves substituting the given values of $x$ and $y$ into the expression and then simplifying the resulting expression. By following the order of operations (PEMDAS) and checking your work, you can ensure that you get the correct answer.

Introduction

Evaluating the expression $x^3 - 2y + 3$ can be a challenging task, especially when dealing with negative values of $x$ and $y$. In this article, we will answer some frequently asked questions about evaluating the expression $x^3 - 2y + 3$.

Q&A

Q: What is the value of the expression $x^3 - 2y + 3$ if $x = -5$ and $y = -2$?

A: The value of the expression $x^3 - 2y + 3$ if $x = -5$ and $y = -2$ is $-118$. This is obtained by substituting the given values of $x$ and $y$ into the expression and then simplifying the resulting expression.

Q: How do I evaluate the expression $x^3 - 2y + 3$ if $x = -5$ and $y = -2$?

A: To evaluate the expression $x^3 - 2y + 3$ if $x = -5$ and $y = -2$, you need to substitute the given values of $x$ and $y$ into the expression and then simplify the resulting expression. This involves following the order of operations (PEMDAS) and checking your work.

Q: What is the order of operations (PEMDAS) and how do I use it to evaluate the expression $x^3 - 2y + 3$?

A: The order of operations (PEMDAS) is a set of rules that tells you which operations to perform first when evaluating an expression. The acronym PEMDAS stands for:

• Parentheses: Evaluate expressions inside parentheses first.
• Exponents: Evaluate any exponential expressions next (e.g., $x^3$).
• Multiplication and Division: Evaluate any multiplication and division operations from left to right.
• Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.

To use the order of operations to evaluate the expression $x^3 - 2y + 3$, you need to follow these steps:

1. Evaluate any expressions inside parentheses.
2. Evaluate any exponential expressions.
3. Evaluate any multiplication and division operations from left to right.
4. Finally, evaluate any addition and subtraction operations from left to right.

Q: How do I handle negative values of $x$ and $y$ when evaluating the expression $x^3 - 2y + 3$?

A: When evaluating the expression $x^3 - 2y + 3$, you need to handle negative values of $x$ and $y$ carefully. To do this, you need to follow the rules of exponents and the order of operations (PEMDAS).

For example, if $x = -5$, then $x^3 = (-5)^3 = -125$. Similarly, if $y = -2$, then $-2y = -2(-2) = 4$.

Q: Can I use a calculator to evaluate the expression $x^3 - 2y + 3$?

A: Yes, you can use a calculator to evaluate the expression $x^3 - 2y + 3$. However, you need to make sure that you enter the values of $x$ and $y$ correctly and follow the order of operations (PEMDAS).

Tips and Tricks

Here are some tips and tricks to help you evaluate the expression $x^3 - 2y + 3$:

• Make sure to substitute the given values of $x$ and $y$ into the expression correctly.
• Follow the order of operations (PEMDAS) to simplify the resulting expression.
• Check your work by plugging in the values of $x$ and $y$ into the expression and simplifying it.
• Use a calculator to evaluate the expression $x^3 - 2y + 3$ if you are unsure of the correct answer.

Conclusion

In conclusion, evaluating the expression $x^3 - 2y + 3$ can be a challenging task, especially when dealing with negative values of $x$ and $y$. However, by following the order of operations (PEMDAS) and checking your work, you can ensure that you get the correct answer.