Simplify The Expression: { Jk - 6 - 3 $}$.A. { 18jk $}$ B. { 18jkl $}$ C. { 6jk + 3 $}$

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Understanding the Expression

The given expression is $jk - 6 - 3$. To simplify this expression, we need to follow the order of operations (PEMDAS), which stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction.

Step 1: Simplify the Constants

The expression contains two constants, $-6$ and $-3$. We can simplify these constants by combining them.

Step 2: Combine Like Terms

We can combine the constants by adding them together. $-6 + (-3) = -9$. So, the expression becomes $jk - 9$.

Step 3: Simplify the Expression

Now, we need to simplify the expression $jk - 9$. Since there are no like terms, we cannot combine any further.

Step 4: Compare with the Options

Let's compare the simplified expression with the given options.

Option A: $18jk$

This option is incorrect because the simplified expression is $jk - 9$, not $18jk$.

Option B: $18jkl$

This option is also incorrect because the simplified expression is $jk - 9$, not $18jkl$. Additionally, the variable $l$ is not present in the original expression.

Option C: $6jk + 3$

This option is incorrect because the simplified expression is $jk - 9$, not $6jk + 3$.

Conclusion

The correct answer is not among the given options. The simplified expression is $jk - 9$.

Final Answer

The final answer is $\boxed{jk - 9}$.

Explanation

The expression $jk - 6 - 3$ can be simplified by combining the constants and then simplifying the resulting expression. The correct answer is $jk - 9$, which is not among the given options.

Tips and Tricks

• When simplifying expressions, always follow the order of operations (PEMDAS).
• Combine like terms to simplify the expression.
• Check the options carefully to ensure that the correct answer is not among them.

Related Topics

• Simplifying expressions with variables
• Combining like terms
• Order of operations (PEMDAS)

Practice Problems

• Simplify the expression: $2x - 4 - 2$
• Simplify the expression: $3y + 2 + 1$
• Simplify the expression: $4z - 6 - 3$

Solutions

• $2x - 6$
• $3y + 3$
• $4z - 9$

Conclusion

Simplifying expressions is an important skill in mathematics. By following the order of operations and combining like terms, we can simplify expressions and make them easier to work with. Remember to check the options carefully to ensure that the correct answer is not among them.

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Frequently Asked Questions

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

A: The order of operations (PEMDAS) is a set of rules that tells us which operations to perform first when we have multiple operations in an expression. PEMDAS stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction.

Q: How do I simplify an expression with variables?

A: To simplify an expression with variables, follow the order of operations (PEMDAS) and combine like terms. Like terms are terms that have the same variable(s) raised to the same power.

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

A: A variable is a letter or symbol that represents a value that can change. A constant is a value that does not change.

Q: How do I combine like terms?

A: To combine like terms, add or subtract the coefficients of the terms. The coefficients are the numbers in front of the variables.

Q: What is the correct answer to the expression $jk - 6 - 3$?

A: The correct answer to the expression $jk - 6 - 3$ is $jk - 9$.

Q: Why is the correct answer not among the given options?

A: The correct answer is not among the given options because the options were incorrect. The correct answer is $jk - 9$, not $18jk$, $18jkl$, or $6jk + 3$.

Q: What are some tips and tricks for simplifying expressions?

A: Some tips and tricks for simplifying expressions include:

• Always follow the order of operations (PEMDAS)
• Combine like terms to simplify the expression
• Check the options carefully to ensure that the correct answer is not among them

Q: What are some related topics to simplifying expressions?

A: Some related topics to simplifying expressions include:

• Simplifying expressions with variables
• Combining like terms
• Order of operations (PEMDAS)

Q: What are some practice problems for simplifying expressions?

A: Some practice problems for simplifying expressions include:

• Simplify the expression: $2x - 4 - 2$
• Simplify the expression: $3y + 2 + 1$
• Simplify the expression: $4z - 6 - 3$

Q: What are the solutions to the practice problems?

A: The solutions to the practice problems are:

• $2x - 6$
• $3y + 3$
• $4z - 9$

Conclusion

Simplifying expressions is an important skill in mathematics. By following the order of operations and combining like terms, we can simplify expressions and make them easier to work with. Remember to check the options carefully to ensure that the correct answer is not among them.