Identifying the Key Components of the Solution

Oct 13, 2025 by magicalceylontours.com 137 views

Introduction

In this article, we will delve into the world of mathematics and explore how Steve uses algebra to solve a real-world problem. Steve biked 8.4 miles, which was 1.8 miles fewer than Rhonda biked. He wants to write and solve an equation to find ${$ r $}$, the number of miles that Rhonda biked. We will examine the steps Steve takes to solve this problem and identify the key components of the solution.

Understanding the Problem

Steve knows that he biked 8.4 miles, and he also knows that Rhonda biked 1.8 miles more than he did. To find the number of miles Rhonda biked, Steve needs to add 1.8 miles to the number of miles he biked. This can be represented by the equation:

r = 8.4 + 1.8

Identifying the Key Components of the Solution

To solve this problem, Steve needs to identify the key components of the solution. These components include:

The variable: The variable is the unknown value that Steve is trying to find. In this case, the variable is ${$ r $}$, which represents the number of miles that Rhonda biked.
The equation: The equation is a mathematical statement that represents the relationship between the variable and the known values. In this case, the equation is r = 8.4 + 1.8.
The constant: The constant is a value that does not change. In this case, the constant is 1.8, which represents the number of miles that Rhonda biked more than Steve.
The operation: The operation is the mathematical operation that is performed on the variable and the constant. In this case, the operation is addition.

Solving the Equation

To solve the equation, Steve needs to perform the operation on the variable and the constant. In this case, the operation is addition, so Steve needs to add 1.8 to 8.4.

r = 8.4 + 1.8 r = 10.2

Conclusion

In this article, we explored how Steve uses algebra to solve a real-world problem. Steve biked 8.4 miles, which was 1.8 miles fewer than Rhonda biked. He wants to write and solve an equation to find ${$ r $}$, the number of miles that Rhonda biked. We identified the key components of the solution, including the variable, the equation, the constant, and the operation. We then solved the equation by performing the operation on the variable and the constant. The solution to the equation is r = 10.2, which represents the number of miles that Rhonda biked.

Key Takeaways

To solve an equation, you need to identify the key components of the solution, including the variable, the equation, the constant, and the operation.
The variable is the unknown value that you are trying to find.
The equation is a mathematical statement that represents the relationship between the variable and the known values.
The constant is a value that does not change.
The operation is the mathematical operation that is performed on the variable and the constant.
To solve an equation, you need to perform the operation on the variable and the constant.

Additional Resources

For more information on algebra and solving equations, please visit the following resources:
- Khan Academy: Algebra
- Mathway: Algebra Solver
- Wolfram Alpha: Algebra Calculator

Frequently Asked Questions

Q: What is the variable in the equation r = 8.4 + 1.8? A: The variable is ${$ r $}$, which represents the number of miles that Rhonda biked.
Q: What is the equation in the problem? A: The equation is r = 8.4 + 1.8.
Q: What is the constant in the equation? A: The constant is 1.8, which represents the number of miles that Rhonda biked more than Steve.
Q: What is the operation in the equation? A: The operation is addition.

Conclusion

$In this article, we explored how Steve uses algebra to solve a real-world problem. Steve biked 8.4 miles, which was 1.8 miles fewer than Rhonda biked. He wants to write and solve an equation to find ${$ r \$}$, the number of miles that Rhonda biked. We identified the key components of the solution, including the variable, the equation, the constant, and the operation. We then solved the equation by performing the operation on the variable and the constant. The solution to the equation is r = 10.2, which represents the number of miles that Rhonda biked.<br/> **Q&A: Solving the Mystery of Rhonda's Bike Ride**$

Introduction

In our previous article, we explored how Steve uses algebra to solve a real-world problem. Steve biked 8.4 miles, which was 1.8 miles fewer than Rhonda biked. He wants to write and solve an equation to find ${$ r $}$, the number of miles that Rhonda biked. We identified the key components of the solution, including the variable, the equation, the constant, and the operation. We then solved the equation by performing the operation on the variable and the constant. The solution to the equation is r = 10.2, which represents the number of miles that Rhonda biked.

Q&A Session

Q: What is the variable in the equation r = 8.4 + 1.8? A: The variable is ${$ r $}$, which represents the number of miles that Rhonda biked.

Q: What is the equation in the problem? A: The equation is r = 8.4 + 1.8.

Q: What is the constant in the equation? A: The constant is 1.8, which represents the number of miles that Rhonda biked more than Steve.

Q: What is the operation in the equation? A: The operation is addition.

Q: How do I solve an equation like r = 8.4 + 1.8? A: To solve an equation like r = 8.4 + 1.8, you need to perform the operation on the variable and the constant. In this case, the operation is addition, so you need to add 1.8 to 8.4.

Q: What is the solution to the equation r = 8.4 + 1.8? A: The solution to the equation r = 8.4 + 1.8 is r = 10.2, which represents the number of miles that Rhonda biked.

Q: Can I use this method to solve other equations? A: Yes, you can use this method to solve other equations. The key is to identify the variable, the equation, the constant, and the operation, and then perform the operation on the variable and the constant.

Q: What if I have a more complex equation, like r = 8.4 + 1.8 + 2.5? A: If you have a more complex equation, like r = 8.4 + 1.8 + 2.5, you can still use the same method. First, identify the variable, the equation, the constant, and the operation. Then, perform the operation on the variable and the constant. In this case, you would add 2.5 to 8.4 + 1.8.

Q: Can I use a calculator to solve equations like r = 8.4 + 1.8? A: Yes, you can use a calculator to solve equations like r = 8.4 + 1.8. In fact, calculators can be very helpful when solving equations, especially complex ones.

Conclusion

In this Q&A article, we answered some common questions about solving equations like r = 8.4 + 1.8. We identified the key components of the solution, including the variable, the equation, the constant, and the operation. We then solved the equation by performing the operation on the variable and the constant. The solution to the equation is r = 10.2, which represents the number of miles that Rhonda biked. We also discussed how to use this method to solve other equations and how to use a calculator to solve equations.

Additional Resources

For more information on algebra and solving equations, please visit the following resources:
- Khan Academy: Algebra
- Mathway: Algebra Solver
- Wolfram Alpha: Algebra Calculator

Frequently Asked Questions

Q: What is the variable in the equation r = 8.4 + 1.8? A: The variable is ${$ r $}$, which represents the number of miles that Rhonda biked.
Q: What is the equation in the problem? A: The equation is r = 8.4 + 1.8.
Q: What is the constant in the equation? A: The constant is 1.8, which represents the number of miles that Rhonda biked more than Steve.
Q: What is the operation in the equation? A: The operation is addition.