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\begin{tabular}{|c|c|}
\hline Key Words & Replace With \\
\hline three & 3 \\
\hline times & [tex]$\times$[/tex] \\
\hline the difference of & [tex]$(-$[/tex] \\
\hline nine & [tex]$9$[/tex] \\
\hline a number & [tex]$h$[/tex] \\
\hline
\end{tabular}

Write and evaluate the expression. Then, complete the statement.

Three times the difference of nine and a number.

The value of the expression when [tex]$h=5$[/tex] is [tex]$\square$[/tex].



Answer :

GinnyAnswer
To write and evaluate the expression "three times the difference of nine and a number," we follow these steps:

1. Identify the key terms and replace them with their values:

- "three" is replaced with [tex]\( 3 \)[/tex].
- "times" is represented by multiplication, [tex]\( \times \)[/tex].
- "the difference of" represents subtraction, [tex]\( (- \)[/tex].
- "nine" is replaced with [tex]\( 9 \)[/tex].
- "a number" is represented by [tex]\( h \)[/tex].

2. Construct the mathematical expression:

- "three times" translates to [tex]\( 3 \times \)[/tex].
- "the difference of nine and a number" translates to [tex]\( (9 - h) \)[/tex].

So, the expression in mathematical terms is:
[tex]\[ 3 \times (9 - h) \][/tex]

3. Substitute [tex]\( h = 5 \)[/tex] into the expression:

[tex]\[ 3 \times (9 - 5) \][/tex]

4. Evaluate the expression step-by-step:

- First, calculate the difference inside the parentheses: [tex]\( 9 - 5 = 4 \)[/tex].
- Now multiply the result by [tex]\( 3 \)[/tex]: [tex]\( 3 \times 4 = 12 \)[/tex].

Therefore, the value of the expression when [tex]\( h = 5 \)[/tex] is:

[tex]\[ 12 \][/tex]

The value of the expression when [tex]\( h = 5 \)[/tex] is [tex]\(\boxed{12}\)[/tex].

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