Eighteen Less Than A Number Is Twelve. What Is The Number?Equation: $\[ X - 18 = 12 \\]Options:A. 6B. 30C. 216

Introduction

Mathematics is a fascinating subject that involves solving equations, inequalities, and other mathematical problems. In this article, we will focus on solving a simple algebraic equation that involves a variable and a constant. The equation is: $x - 18 = 12$. Our goal is to find the value of the variable $x$ that satisfies this equation.

Understanding the Equation

The given equation is a linear equation in one variable, which means it has only one solution. The equation is in the form of $ax + b = c$, where $a$, $b$, and $c$ are constants. In this case, $a = 1$, $b = -18$, and $c = 12$. Our task is to isolate the variable $x$ and find its value.

Solving the Equation

To solve the equation, we need to isolate the variable $x$ on one side of the equation. We can do this by adding $18$ to both sides of the equation. This will cancel out the $-18$ on the left-hand side and leave us with the variable $x$ on the left-hand side.

$x - 18 + 18 = 12 + 18$

Simplifying the equation, we get:

$x = 30$

Checking the Solution

To verify that our solution is correct, we can plug it back into the original equation and check if it satisfies the equation.

$x - 18 = 12$

Substituting $x = 30$ into the equation, we get:

$30 - 18 = 12$

Simplifying the equation, we get:

$12 = 12$

Since the equation is true, we can conclude that our solution is correct.

Conclusion

In this article, we solved a simple algebraic equation that involved a variable and a constant. We used basic algebraic manipulations to isolate the variable $x$ and find its value. Our solution was $x = 30$, which we verified by plugging it back into the original equation. This equation is a great example of how algebra can be used to solve real-world problems.

Frequently Asked Questions

• What is the value of $x$ in the equation $x - 18 = 12$?
• How do you solve a linear equation in one variable?
• What is the difference between a linear equation and a quadratic equation?

Answer Key

• The value of $x$ in the equation $x - 18 = 12$ is $30$.
• To solve a linear equation in one variable, you need to isolate the variable on one side of the equation using basic algebraic manipulations.
• A linear equation is an equation in which the highest power of the variable is $1$, while a quadratic equation is an equation in which the highest power of the variable is $2$.

Options

A. 6 B. 30 C. 216

Discussion

The correct answer is B. 30. This is because we solved the equation $x - 18 = 12$ and found that $x = 30$. The other options, A. 6 and C. 216, are not correct solutions to the equation.

Related Topics

• Solving linear equations in one variable
• Basic algebraic manipulations
• Real-world applications of algebra

References

• [1] "Algebra" by Michael Artin
• [2] "Linear Algebra" by Jim Hefferon
• [3] "Mathematics for the Nonmathematician" by Morris Kline
  

Introduction

In our previous article, we solved a simple algebraic equation that involved a variable and a constant. The equation was: $x - 18 = 12$. Our goal was to find the value of the variable $x$ that satisfies this equation. In this article, we will answer some frequently asked questions related to this equation and provide additional information to help readers understand the concept better.

Q&A

Q: What is the value of $x$ in the equation $x - 18 = 12$?

A: The value of $x$ in the equation $x - 18 = 12$ is $30$. This is because we solved the equation by adding $18$ to both sides of the equation, which resulted in $x = 30$.

Q: How do you solve a linear equation in one variable?

A: To solve a linear equation in one variable, you need to isolate the variable on one side of the equation using basic algebraic manipulations. This can be done by adding or subtracting the same value to both sides of the equation, or by multiplying or dividing both sides of the equation by the same non-zero value.

Q: What is the difference between a linear equation and a quadratic equation?

A: A linear equation is an equation in which the highest power of the variable is $1$, while a quadratic equation is an equation in which the highest power of the variable is $2$. For example, the equation $x - 18 = 12$ is a linear equation, while the equation $x^2 + 4x + 4 = 0$ is a quadratic equation.

Q: Can you provide more examples of linear equations?

A: Yes, here are a few more examples of linear equations:

• $2x + 3 = 7$
• $x - 2 = 9$
• $4x = 24$

Q: How do you check if a solution is correct?

A: To check if a solution is correct, you need to plug it back into the original equation and check if it satisfies the equation. For example, if we want to check if $x = 30$ is a solution to the equation $x - 18 = 12$, we can plug it back into the equation and check if it is true.

Q: What are some real-world applications of algebra?

A: Algebra has many real-world applications, including:

• Solving problems in physics and engineering
• Modeling population growth and decline
• Analyzing data and making predictions
• Creating computer algorithms and programs

Conclusion

In this article, we answered some frequently asked questions related to the equation $x - 18 = 12$ and provided additional information to help readers understand the concept better. We also discussed the difference between linear and quadratic equations, and provided some examples of linear equations. We hope that this article has been helpful in clarifying any confusion and providing a better understanding of algebra.

Frequently Asked Questions

• What is the value of $x$ in the equation $x - 18 = 12$?
• How do you solve a linear equation in one variable?
• What is the difference between a linear equation and a quadratic equation?
• Can you provide more examples of linear equations?
• How do you check if a solution is correct?
• What are some real-world applications of algebra?

Answer Key

• The value of $x$ in the equation $x - 18 = 12$ is $30$.
• To solve a linear equation in one variable, you need to isolate the variable on one side of the equation using basic algebraic manipulations.
• A linear equation is an equation in which the highest power of the variable is $1$, while a quadratic equation is an equation in which the highest power of the variable is $2$.
• Here are a few more examples of linear equations: $2x + 3 = 7$, $x - 2 = 9$, $4x = 24$.
• To check if a solution is correct, you need to plug it back into the original equation and check if it satisfies the equation.
• Algebra has many real-world applications, including solving problems in physics and engineering, modeling population growth and decline, analyzing data and making predictions, and creating computer algorithms and programs.

Related Topics

• Solving linear equations in one variable
• Basic algebraic manipulations
• Real-world applications of algebra
• Linear and quadratic equations

References

• [1] "Algebra" by Michael Artin
• [2] "Linear Algebra" by Jim Hefferon
• [3] "Mathematics for the Nonmathematician" by Morris Kline