Given the description "six times the sum of nine and a number," we need to write the corresponding expression using the information provided in the table and then check all the applicable statements.

Step 1: Writing the Expression

Based on the keywords provided in the table:

• six: Replaced by 6
• times: Implies multiplication
• the sum of: Implies addition, represented by (+)
• nine: Replaced by 9
• a number: Replaced by n

Therefore, the expression for "six times the sum of nine and a number" is:

$6 \times (9 + n)$

Or simply:

$6(9 + n)$

Step 2: Checking Each Statement

1. Replace “a number” with the variable, n.

   • Correct, as the variable n is used for "a number."

2. The two operations are multiplication and addition.

   • Correct, since the expression involves multiplication (6 times) and addition (the sum of).

3. The two operations are multiplication and subtraction.

   • Incorrect, as there is no subtraction in the expression.

4. The constants are 6 and 9.

   • Correct, as the constants in the expression are 6 and 9.

5. The expression is written as 6n + 9.

   • Incorrect, as this expression would not correctly represent "six times the sum of nine and a number."

6. The expression is written as 6(9 + n).

   • Correct, as this matches the intended expression.

Final Correct Statements

• Replace “a number” with the variable, n.
• The two operations are multiplication and addition.
• The constants are 6 and 9.
• The expression is written as 6(9 + n).

Would you like more details on any step, or do you have any questions?

Related Questions

1. How do you simplify the expression $6(9 + n)$?
2. What happens if you replace addition with subtraction in the expression?
3. How would you write the expression for "six times the difference of nine and a number"?
4. How do you identify the constants and variables in an expression?
5. What are the steps to distribute multiplication over addition in an expression?

Tip: When translating word phrases to algebraic expressions, pay close attention to operation keywords like "sum," "difference," "product," and "quotient."