Juan ran the lemonade stand for 3 more days. Each day, he used the money from sales to purchase more lemons, cups, and sugar to make more lemonade.

Question

On day 2, he earned $16 and spent $7 on supplies. On day 3, he earned $22 and spent $12. The expression 16 - 7 + 22 - 12 can be used to model the situation for these 2 days.
Identify the expression that uses adding the additive inverse to rewrite the expression.
(1 point)
• 16 + (-7) + 22 + 12
) -16 + (-7) + (-22) + (-12)
-16 + 7 + (-22) + 12
• 16 + (-7) + 22 + (-12)

Answer 1

To rewrite the expression \(16 - 7 + 22 - 12\) using the additive inverse, we want to express the subtraction in terms of addition of a negative number. The additive inverse of a number \(x\) is \(-x\).

Rewriting the expression:

• The term \( -7\) can be written as \( + (-7)\)
• The term \( -12\) can be written as \( + (-12)\)

Thus, the expression \(16 - 7 + 22 - 12\) can be rewritten as:

\[16 + (-7) + 22 + (-12)\]

Therefore, the correct option is:

16 + (-7) + 22 + (-12).