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Which algebraic expression has a term with a coefficient of [tex]$9$[/tex]?

A. [tex]$6(x+5)$[/tex]
B. [tex]$9 \div 6$[/tex]
C. [tex]$6 + x - 9$[/tex]
D. [tex]$6x - 9$[/tex]

Sagot :

GinnyAnsweridn
Let's analyze each option to determine if there is a term with a coefficient of 9.

A. [tex]\( 6(x + 5) \)[/tex]
- First, expand the expression:
[tex]\( 6(x + 5) = 6x + 30 \)[/tex]
- In the expanded form [tex]\( 6x + 30 \)[/tex], there is no term where the coefficient is 9.

B. [tex]\( 9 \times \div 6 \)[/tex]
- This is not a valid algebraic expression as it does not follow the standard rules of algebraic notation. Therefore, it does not contain any terms with any coefficient.

C. [tex]\( 6 + x - 9 \)[/tex]
- Simplify the expression:
[tex]\( 6 + x - 9 = x - 3 \)[/tex]
- In the simplified form [tex]\( x - 3 \)[/tex], there is no term where the coefficient is 9.

D. [tex]\( 6x - 9 \)[/tex]
- This expression is already simplified as [tex]\( 6x - 9 \)[/tex]
- The only terms are [tex]\( 6x \)[/tex] and [tex]\(-9\)[/tex], none of which have a coefficient of 9.

After evaluating all these options, none of the given expressions contain a term with a coefficient of 9. Therefore, the answer is:
[tex]\[ -1 \][/tex]
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