Let's go through the problem step-by-step.
### Step 1: Identify and Translate Key Words
We need to translate the given phrase into a mathematical expression using the key words provided in the table:
- "six" translates to 6
- "more than" translates to +
- "product" translates to ×
- "nine" translates to 9
- "a number" translates to [tex]\( q \)[/tex]
So, "six more than the product of nine and a number" translates to [tex]\( 6 + 9 \times q \)[/tex].
### Step 2: Insert the Known Value
We are asked to evaluate this expression when [tex]\( q = 6 \)[/tex].
So we replace [tex]\( q \)[/tex] with 6 in the expression [tex]\( 6 + 9 \times q \)[/tex]:
[tex]\[ 6 + 9 \times 6 \][/tex]
### Step 3: Simplify the Expression
Now, we need to perform the arithmetic operation:
[tex]\[ 9 \times 6 = 54 \][/tex]
Then add 6 to the result:
[tex]\[ 6 + 54 = 60 \][/tex]
### Step 4: State the Answer
Therefore, the answer to the problem is 60.
In summary:
The required expression is [tex]\( 6 + 9 \times q \)[/tex].
Replacing [tex]\( q \)[/tex] with 6 gives [tex]\( 6 + 9 \times 6 \)[/tex].
Simplifying the expression [tex]\( 6 + 54 \)[/tex], we get 60.
Hence, the answer is 60.
Let's fill in the blanks:
- First, write the expression: [tex]\( 6 + 9 \times q \)[/tex]
- Second, substitute 6 in for the variable [tex]\( q \)[/tex]: [tex]\( 6 + 9 \times 6 \)[/tex]
- Third, simplify by evaluating the multiplication first and then the addition: [tex]\( 54 + 6 = 60 \)[/tex]
So:
- The answer is 60.
