Evaluate The Expression When B = 9 B=9 B = 9 And C = 4 C=4 C = 4 .${ Bc + 12.3 = }$ {\square\}

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Introduction

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Algebraic expressions are a fundamental concept in mathematics, and evaluating them is a crucial skill for students to master. In this article, we will focus on evaluating the expression $bc + 12.3$ when $b=9$ and $c=4$. We will break down the process into manageable steps and provide a clear explanation of each step.

Understanding the Expression

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The given expression is $bc + 12.3$. This expression consists of two terms: $bc$ and $12.3$. The term $bc$ is a product of two variables, $b$ and $c$, while $12.3$ is a constant.

What are Variables and Constants?

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In algebra, variables are letters or symbols that represent unknown values, while constants are numbers that do not change value. In this expression, $b$ and $c$ are variables, and $12.3$ is a constant.

What is the Product of Two Variables?

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The product of two variables, $b$ and $c$, is denoted by $bc$. To evaluate this product, we need to multiply the values of $b$ and $c$.

Evaluating the Expression

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Now that we have a clear understanding of the expression, let's evaluate it when $b=9$ and $c=4$.

Step 1: Substitute the Values of $b$ and $c$

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We are given that $b=9$ and $c=4$. To evaluate the expression, we need to substitute these values into the expression.

${ bc + 12.3 = (9)(4) + 12.3 }$

Step 2: Multiply the Values of $b$ and $c$

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Now that we have substituted the values of $b$ and $c$, let's multiply them.

${ (9)(4) = 36 }$

Step 3: Add the Product to the Constant

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Finally, let's add the product of $b$ and $c$ to the constant $12.3$.

${ 36 + 12.3 = 48.3 }$

Conclusion

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In this article, we evaluated the expression $bc + 12.3$ when $b=9$ and $c=4$. We broke down the process into manageable steps and provided a clear explanation of each step. By following these steps, we were able to evaluate the expression and find the final answer.

Frequently Asked Questions

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Q: What is the value of $bc$ when $b=9$ and $c=4$?

A: The value of $bc$ when $b=9$ and $c=4$ is $36$.

Q: What is the value of the expression $bc + 12.3$ when $b=9$ and $c=4$?

A: The value of the expression $bc + 12.3$ when $b=9$ and $c=4$ is $48.3$.

Final Answer

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The final answer is $\boxed{48.3}$.

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Introduction

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In our previous article, we evaluated the expression $bc + 12.3$ when $b=9$ and $c=4$. We broke down the process into manageable steps and provided a clear explanation of each step. In this article, we will provide a Q&A guide to help you better understand the concept of evaluating algebraic expressions.

Q&A Guide

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Q: What is an algebraic expression?

A: An algebraic expression is a mathematical expression that consists of variables, constants, and mathematical operations.

Q: What are variables and constants?

A: Variables are letters or symbols that represent unknown values, while constants are numbers that do not change value.

Q: What is the product of two variables?

A: The product of two variables is denoted by the symbol $\times$ or no symbol at all, and it represents the result of multiplying the two variables together.

Q: How do I evaluate an algebraic expression?

A: To evaluate an algebraic expression, you need to follow the order of operations (PEMDAS):

1. Parentheses: Evaluate any expressions inside parentheses first.
2. Exponents: Evaluate any exponential expressions next.
3. Multiplication and Division: Evaluate any multiplication and division operations from left to right.
4. Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.

Q: What is the order of operations (PEMDAS)?

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

1. Parentheses: Evaluate any expressions inside parentheses first.
2. Exponents: Evaluate any exponential expressions next.
3. Multiplication and Division: Evaluate any multiplication and division operations from left to right.
4. Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.

Q: How do I evaluate an expression with multiple variables?

A: To evaluate an expression with multiple variables, you need to substitute the values of the variables into the expression and then follow the order of operations.

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

A: A variable is a letter or symbol that represents an unknown value, while a constant is a number that does not change value.

Q: How do I simplify an algebraic expression?

A: To simplify an algebraic expression, you need to combine like terms and eliminate any unnecessary operations.

Q: What is a like term?

A: A like term is a term that has the same variable(s) raised to the same power.

Q: How do I combine like terms?

A: To combine like terms, you need to add or subtract the coefficients of the like terms.

Example Questions

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Q: Evaluate the expression $2x + 5$ when $x=3$.

A: To evaluate the expression, we need to substitute the value of $x$ into the expression and then follow the order of operations.

${ 2x + 5 = 2(3) + 5 = 6 + 5 = 11 }$

Q: Simplify the expression $3x^2 + 2x^2$.

A: To simplify the expression, we need to combine like terms.

${ 3x^2 + 2x^2 = 5x^2 }$

Conclusion

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In this article, we provided a Q&A guide to help you better understand the concept of evaluating algebraic expressions. We covered topics such as variables and constants, the product of two variables, and the order of operations. We also provided example questions to help you practice evaluating and simplifying algebraic expressions.

Frequently Asked Questions

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Q: What is the value of $2x + 5$ when $x=3$?

A: The value of $2x + 5$ when $x=3$ is $11$.

Q: What is the simplified form of $3x^2 + 2x^2$?

A: The simplified form of $3x^2 + 2x^2$ is $5x^2$.

Final Answer

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The final answer is $\boxed{11}$ for the first question and $\boxed{5x^2}$ for the second question.