Answer :
To address the question, let's carefully examine the given expression:
[tex]\[ 9 + 4(x + 2) - 3x \][/tex]
We need to determine the term that best describes "3" in this expression.
1. Expression Breakdown:
- First, let's distribute the [tex]\(4\)[/tex] in the expression [tex]\(4(x + 2)\)[/tex]:
[tex]\[ 4(x + 2) = 4x + 8 \][/tex]
- Now, rewrite the original expression with this distribution applied:
[tex]\[ 9 + 4x + 8 - 3x \][/tex]
- Combine like terms:
[tex]\[ 17 + 4x - 3x \][/tex]
[tex]\[ 17 + x \][/tex]
2. Focus on the Term Involving "3":
- The expression after distribution and simplification is [tex]\( 17 + x \)[/tex].
- However, focusing on the term where "3" originally appeared:
- It’s in [tex]\[- 3x\][/tex].
3. Classify "3":
- The "3" appears in the context of [tex]\( -3x \)[/tex], which is a multiplication of the number 3 by the variable [tex]\( x \)[/tex].
- Therefore, "3" is multiplying the variable [tex]\( x \)[/tex].
Hence,
- A. Coefficient: This is correct because "3" is multiplying the variable [tex]\( x \)[/tex], making it the coefficient of [tex]\( x \)[/tex].
- B. Variable: This is incorrect since "3" is a number, not a variable.
- C. Exponent: This is incorrect as "3" is not positioned as an exponent.
- D. Constant: This is incorrect because constants are standalone numbers in the expression without any variables (such as "9" and "8" in the expression). "3" is attached to [tex]\( x \)[/tex], making it part of a term rather than a constant.
Therefore, the correct answer is:
A. coefficient.
[tex]\[ 9 + 4(x + 2) - 3x \][/tex]
We need to determine the term that best describes "3" in this expression.
1. Expression Breakdown:
- First, let's distribute the [tex]\(4\)[/tex] in the expression [tex]\(4(x + 2)\)[/tex]:
[tex]\[ 4(x + 2) = 4x + 8 \][/tex]
- Now, rewrite the original expression with this distribution applied:
[tex]\[ 9 + 4x + 8 - 3x \][/tex]
- Combine like terms:
[tex]\[ 17 + 4x - 3x \][/tex]
[tex]\[ 17 + x \][/tex]
2. Focus on the Term Involving "3":
- The expression after distribution and simplification is [tex]\( 17 + x \)[/tex].
- However, focusing on the term where "3" originally appeared:
- It’s in [tex]\[- 3x\][/tex].
3. Classify "3":
- The "3" appears in the context of [tex]\( -3x \)[/tex], which is a multiplication of the number 3 by the variable [tex]\( x \)[/tex].
- Therefore, "3" is multiplying the variable [tex]\( x \)[/tex].
Hence,
- A. Coefficient: This is correct because "3" is multiplying the variable [tex]\( x \)[/tex], making it the coefficient of [tex]\( x \)[/tex].
- B. Variable: This is incorrect since "3" is a number, not a variable.
- C. Exponent: This is incorrect as "3" is not positioned as an exponent.
- D. Constant: This is incorrect because constants are standalone numbers in the expression without any variables (such as "9" and "8" in the expression). "3" is attached to [tex]\( x \)[/tex], making it part of a term rather than a constant.
Therefore, the correct answer is:
A. coefficient.
The answer is A because a coefficient is a number that’s in front of the variable
