How would you express 9 times some number plus the sum of 5 and y?

How would you express 9 times some number plus the sum of 5 and y?

• A. 9x + 5 + y
• B. 9x + (5y)
• C. 9 + (x + 5y)
• D. 9x + (5 + y)

Answer: (D)

The expression "9 times some number plus the sum of 5 and y" translates mathematically to taking a number, multiplying it by 9, and then adding the result of 5 plus y. Starting with "9 times some number," if we denote that number as x, we can express this as 9x. The phrase "the sum of 5 and y" means we will add 5 and y together, resulting in (5 + y). When we combine these parts, we have 9x, which represents the 9 times the number, and we add the sum of 5 and y to this, creating the expression 9x + (5 + y). Looking at the choices, the option that accurately reflects this combination of multiplying the number by 9 and then adding 5 and y is expressed correctly as 9x + (5 + y), confirming that this choice captures the intended operation and arrangement of the terms properly. This makes the expression a clear representation of the problem as given.

The expression "9 times some number plus the sum of 5 and y" translates mathematically to taking a number, multiplying it by 9, and then adding the result of 5 plus y.

Starting with "9 times some number," if we denote that number as x, we can express this as 9x. The phrase "the sum of 5 and y" means we will add 5 and y together, resulting in (5 + y).

When we combine these parts, we have 9x, which represents the 9 times the number, and we add the sum of 5 and y to this, creating the expression 9x + (5 + y).

Looking at the choices, the option that accurately reflects this combination of multiplying the number by 9 and then adding 5 and y is expressed correctly as 9x + (5 + y), confirming that this choice captures the intended operation and arrangement of the terms properly.

This makes the expression a clear representation of the problem as given.