In The Equation Q − 12 = 89 Q - 12 = 89 Q − 12 = 89 , What Is The Value Of Q Q Q ?A. 78 B. 101 C. 77 D. 102
Introduction
In mathematics, solving for a variable in an equation is a fundamental concept that is used to find the value of the variable. In this article, we will focus on solving for Q in the equation Q - 12 = 89. This equation is a simple linear equation that can be solved using basic algebraic techniques.
Understanding the Equation
The equation Q - 12 = 89 is a linear equation that involves a variable Q and a constant term -12. The equation states that the value of Q minus 12 is equal to 89. To solve for Q, we need to isolate the variable Q on one side of the equation.
Isolating the Variable Q
To isolate the variable Q, we need to add 12 to both sides of the equation. This will eliminate the constant term -12 and allow us to find the value of Q.
Q - 12 + 12 = 89 + 12
Simplifying the Equation
By adding 12 to both sides of the equation, we get:
Q = 89 + 12
Evaluating the Expression
Now, we need to evaluate the expression 89 + 12 to find the value of Q.
Q = 101
Conclusion
In conclusion, the value of Q in the equation Q - 12 = 89 is 101. This can be verified by plugging the value of Q back into the original equation and checking if it is true.
Final Answer
The final answer is 101.
Discussion
This equation is a simple linear equation that can be solved using basic algebraic techniques. The equation involves a variable Q and a constant term -12. To solve for Q, we need to isolate the variable Q on one side of the equation by adding 12 to both sides of the equation. This will eliminate the constant term -12 and allow us to find the value of Q.
Tips and Tricks
- When solving for a variable in an equation, make sure to isolate the variable on one side of the equation.
- Use basic algebraic techniques such as adding, subtracting, multiplying, and dividing to solve for the variable.
- Check your answer by plugging the value of the variable back into the original equation.
Related Topics
- Solving linear equations
- Isolating variables
- Basic algebraic techniques
References
- [1] Algebra for Dummies, by Mary Jane Sterling
- [2] Linear Equations, by Paul Dawkins
- [3] Basic Algebra, by Michael Artin
Additional Resources
- Khan Academy: Solving Linear Equations
- Mathway: Solving Linear Equations
- Wolfram Alpha: Solving Linear Equations
Introduction
In our previous article, we solved for Q in the equation Q - 12 = 89. In this article, we will answer some frequently asked questions related to solving for Q in the equation Q - 12 = 89.
Q: What is the value of Q in the equation Q - 12 = 89?
A: The value of Q in the equation Q - 12 = 89 is 101.
Q: How do I solve for Q in the equation Q - 12 = 89?
A: To solve for Q in the equation Q - 12 = 89, you need to add 12 to both sides of the equation. This will eliminate the constant term -12 and allow you to find the value of Q.
Q: What is the process of solving for Q in the equation Q - 12 = 89?
A: The process of solving for Q in the equation Q - 12 = 89 involves the following steps:
- Add 12 to both sides of the equation to eliminate the constant term -12.
- Simplify the equation by evaluating the expression on the right-hand side.
- Check your answer by plugging the value of Q back into the original equation.
Q: What are some common mistakes to avoid when solving for Q in the equation Q - 12 = 89?
A: Some common mistakes to avoid when solving for Q in the equation Q - 12 = 89 include:
- Not adding 12 to both sides of the equation.
- Not simplifying the equation after adding 12 to both sides.
- Not checking your answer by plugging the value of Q back into the original equation.
Q: How do I check my answer when solving for Q in the equation Q - 12 = 89?
A: To check your answer when solving for Q in the equation Q - 12 = 89, you need to plug the value of Q back into the original equation and verify that it is true.
Q: What are some real-world applications of solving for Q in the equation Q - 12 = 89?
A: Solving for Q in the equation Q - 12 = 89 has many real-world applications, including:
- Calculating the cost of goods sold in a business.
- Determining the amount of money needed to pay off a debt.
- Finding the value of a variable in a scientific equation.
Q: Can I use a calculator to solve for Q in the equation Q - 12 = 89?
A: Yes, you can use a calculator to solve for Q in the equation Q - 12 = 89. However, it is always a good idea to check your answer by plugging the value of Q back into the original equation.
Q: What are some tips for solving for Q in the equation Q - 12 = 89?
A: Some tips for solving for Q in the equation Q - 12 = 89 include:
- Read the equation carefully and understand what it is asking for.
- Use basic algebraic techniques such as adding, subtracting, multiplying, and dividing to solve for Q.
- Check your answer by plugging the value of Q back into the original equation.
Q: Can I solve for Q in the equation Q - 12 = 89 using a different method?
A: Yes, you can solve for Q in the equation Q - 12 = 89 using a different method, such as using a graphing calculator or a computer algebra system. However, the basic steps of adding 12 to both sides of the equation and simplifying the equation remain the same.
Q: What are some common errors to watch out for when solving for Q in the equation Q - 12 = 89?
A: Some common errors to watch out for when solving for Q in the equation Q - 12 = 89 include:
- Not adding 12 to both sides of the equation.
- Not simplifying the equation after adding 12 to both sides.
- Not checking your answer by plugging the value of Q back into the original equation.
Q: Can I use a word problem to solve for Q in the equation Q - 12 = 89?
A: Yes, you can use a word problem to solve for Q in the equation Q - 12 = 89. For example, if you have a savings account with a balance of $89 and you deposit $12, how much money will you have in your account?
Q: What are some real-world examples of solving for Q in the equation Q - 12 = 89?
A: Some real-world examples of solving for Q in the equation Q - 12 = 89 include:
- Calculating the cost of goods sold in a business.
- Determining the amount of money needed to pay off a debt.
- Finding the value of a variable in a scientific equation.
Q: Can I use a calculator to check my answer when solving for Q in the equation Q - 12 = 89?
A: Yes, you can use a calculator to check your answer when solving for Q in the equation Q - 12 = 89. However, it is always a good idea to plug the value of Q back into the original equation to verify that it is true.
Q: What are some tips for checking your answer when solving for Q in the equation Q - 12 = 89?
A: Some tips for checking your answer when solving for Q in the equation Q - 12 = 89 include:
- Plug the value of Q back into the original equation.
- Verify that the equation is true.
- Check your work to make sure that you did not make any mistakes.
Q: Can I use a computer algebra system to solve for Q in the equation Q - 12 = 89?
A: Yes, you can use a computer algebra system to solve for Q in the equation Q - 12 = 89. However, it is always a good idea to check your answer by plugging the value of Q back into the original equation.
Q: What are some real-world applications of using a computer algebra system to solve for Q in the equation Q - 12 = 89?
A: Some real-world applications of using a computer algebra system to solve for Q in the equation Q - 12 = 89 include:
- Calculating the cost of goods sold in a business.
- Determining the amount of money needed to pay off a debt.
- Finding the value of a variable in a scientific equation.
Q: Can I use a graphing calculator to solve for Q in the equation Q - 12 = 89?
A: Yes, you can use a graphing calculator to solve for Q in the equation Q - 12 = 89. However, it is always a good idea to check your answer by plugging the value of Q back into the original equation.
Q: What are some real-world applications of using a graphing calculator to solve for Q in the equation Q - 12 = 89?
A: Some real-world applications of using a graphing calculator to solve for Q in the equation Q - 12 = 89 include:
- Calculating the cost of goods sold in a business.
- Determining the amount of money needed to pay off a debt.
- Finding the value of a variable in a scientific equation.
Q: Can I use a spreadsheet to solve for Q in the equation Q - 12 = 89?
A: Yes, you can use a spreadsheet to solve for Q in the equation Q - 12 = 89. However, it is always a good idea to check your answer by plugging the value of Q back into the original equation.
Q: What are some real-world applications of using a spreadsheet to solve for Q in the equation Q - 12 = 89?
A: Some real-world applications of using a spreadsheet to solve for Q in the equation Q - 12 = 89 include:
- Calculating the cost of goods sold in a business.
- Determining the amount of money needed to pay off a debt.
- Finding the value of a variable in a scientific equation.
Q: Can I use a programming language to solve for Q in the equation Q - 12 = 89?
A: Yes, you can use a programming language to solve for Q in the equation Q - 12 = 89. However, it is always a good idea to check your answer by plugging the value of Q back into the original equation.
Q: What are some real-world applications of using a programming language to solve for Q in the equation Q - 12 = 89?
A: Some real-world applications of using a programming language to solve for Q in the equation Q - 12 = 89 include:
- Calculating the cost of goods sold in a business.
- Determining the amount of money needed to pay off a debt.
- Finding the value of a variable in a scientific equation.
Q: Can I use a computer to solve for Q in the equation Q - 12 = 89?
A: Yes, you can use a computer to solve for Q in the equation Q - 12 = 89. However, it is always a good idea to check your answer by plugging the value of Q back into the original equation.
Q: What are some real-world applications of using a computer to solve for Q in the equation Q - 12 = 89?
A: Some real-world applications of using a computer to solve for Q in the equation Q - 12 = 89 include:
- Calculating the cost of goods sold in a business.
- Determining the amount of money needed to pay off a debt.
- Finding the value of a variable in a scientific equation.