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

Expression: Six more than the product of nine and a number.
Evaluate when [tex]\( q = 6 \)[/tex].

1. Write the expression: [tex]\( 9q + 6 \)[/tex].
2. Substitute [tex]\( q = 6 \)[/tex] into the expression: [tex]\( 9 \times 6 + 6 \)[/tex].
3. Simplify the expression: [tex]\( 54 + 6 = 60 \)[/tex].

The answer is: 60

Sagot :

GinnyAnswer
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.
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