Work Out The Value Of B 3 \frac{b}{3} 3 B ​ When B = 12 B = 12 B = 12 .

Introduction

In algebra, we often encounter expressions that involve variables and constants. To solve for a variable, we need to isolate it on one side of the equation. In this article, we will work out the value of $\frac{b}{3}$ when $b = 12$. This problem involves a simple algebraic expression and requires us to substitute the given value of $b$ into the expression.

Understanding the Problem

The problem asks us to find the value of $\frac{b}{3}$ when $b = 12$. This means we need to substitute $b = 12$ into the expression $\frac{b}{3}$ and simplify it to find the final value.

Substituting the Value of $b$

To solve for $\frac{b}{3}$, we need to substitute $b = 12$ into the expression. This means we replace every instance of $b$ with $12$.

$\frac{b}{3} = \frac{12}{3}$

Simplifying the Expression

Now that we have substituted the value of $b$, we can simplify the expression by dividing $12$ by $3$.

$\frac{12}{3} = 4$

Conclusion

In this article, we worked out the value of $\frac{b}{3}$ when $b = 12$. We substituted the value of $b$ into the expression and simplified it to find the final value. The value of $\frac{b}{3}$ when $b = 12$ is $4$.

Why is this Important?

Solving for a variable in a simple algebraic expression is an important skill in mathematics. It helps us to understand how to manipulate expressions and solve equations. This skill is also essential in real-world applications, such as science, engineering, and economics.

Real-World Applications

Solving for a variable in a simple algebraic expression has many real-world applications. For example, in science, we use algebraic expressions to model the behavior of physical systems. In engineering, we use algebraic expressions to design and optimize systems. In economics, we use algebraic expressions to model the behavior of economic systems.

Tips and Tricks

Here are some tips and tricks to help you solve for a variable in a simple algebraic expression:

• Make sure to substitute the value of the variable into the expression correctly.
• Simplify the expression by combining like terms.
• Check your work by plugging the final value back into the original expression.

Common Mistakes

Here are some common mistakes to avoid when solving for a variable in a simple algebraic expression:

• Failing to substitute the value of the variable into the expression correctly.
• Not simplifying the expression by combining like terms.
• Not checking your work by plugging the final value back into the original expression.

Conclusion

Q: What is the value of $\frac{b}{3}$ when $b = 12$?

A: The value of $\frac{b}{3}$ when $b = 12$ is $4$. To find this value, we substitute $b = 12$ into the expression $\frac{b}{3}$ and simplify it.

Q: How do I substitute the value of $b$ into the expression?

A: To substitute the value of $b$ into the expression, we replace every instance of $b$ with the given value. In this case, we replace $b$ with $12$.

Q: What is the difference between a variable and a constant?

A: A variable is a symbol that represents a value that can change. A constant is a value that does not change. In the expression $\frac{b}{3}$, $b$ is a variable and $3$ is a constant.

Q: How do I simplify an algebraic expression?

A: To simplify an algebraic expression, we combine like terms and perform any necessary operations. In the expression $\frac{12}{3}$, we can simplify it by dividing $12$ by $3$.

Q: What is the importance of solving for a variable in a simple algebraic expression?

A: Solving for a variable in a simple algebraic expression is an important skill in mathematics that has many real-world applications. It helps us to understand how to manipulate expressions and solve equations.

Q: What are some common mistakes to avoid when solving for a variable in a simple algebraic expression?

A: Some common mistakes to avoid when solving for a variable in a simple algebraic expression include:

• Failing to substitute the value of the variable into the expression correctly.
• Not simplifying the expression by combining like terms.
• Not checking your work by plugging the final value back into the original expression.

Q: How can I practice solving for a variable in a simple algebraic expression?

A: You can practice solving for a variable in a simple algebraic expression by working through examples and exercises. You can also try solving for a variable in more complex expressions.

Q: What are some real-world applications of solving for a variable in a simple algebraic expression?

A: Some real-world applications of solving for a variable in a simple algebraic expression include:

• Science: We use algebraic expressions to model the behavior of physical systems.
• Engineering: We use algebraic expressions to design and optimize systems.
• Economics: We use algebraic expressions to model the behavior of economic systems.

Q: How can I use technology to help me solve for a variable in a simple algebraic expression?

A: You can use technology such as calculators or computer software to help you solve for a variable in a simple algebraic expression. These tools can perform calculations and simplify expressions for you.

Q: What are some tips for solving for a variable in a simple algebraic expression?

A: Some tips for solving for a variable in a simple algebraic expression include:

• Make sure to substitute the value of the variable into the expression correctly.
• Simplify the expression by combining like terms.
• Check your work by plugging the final value back into the original expression.

Conclusion

In this article, we have answered some frequently asked questions about solving for a variable in a simple algebraic expression. We have covered topics such as substituting the value of a variable, simplifying expressions, and real-world applications. By following the tips and tricks outlined in this article, you can become proficient in solving for variables in simple algebraic expressions.