Question

the ship starts with 4 balloons.
which two expressions represent how the
ship’s location will change after removing all
4 balloons? choose both correct expressions.
-3 - 3 -3 - 3 - 3 - 3
4 + 4 + 4 -4 - (-4) - (-4)
-4 · 3 4 · 3

Explanation:

Step1: Analyze the effect of one balloon

Each balloon removal likely causes a change of -3 (assuming each balloon's removal decreases the location by 3). With 4 balloons, we need to represent the total change.

Step2: Evaluate each expression

• Expression 1: \(-3 - 3\) represents change from 2 balloons, not 4. Incorrect.
• Expression 2: \(-3 - 3 - 3 - 3\) is 4 subtractions of 3, matching 4 balloons. Correct.
• Expression 3: \(4 + 4 + 4\) is addition of positive numbers, doesn't match negative change. Incorrect.
• Expression 4: \(-4 - (-4) - (-4)\) simplifies to \(-4 + 4 + 4 = 4\), not related. Incorrect.
• Expression 5: \(-4 \cdot 3\) (or \(-4 \times 3\)) is equivalent to \(-3 - 3 - 3 - 3\) (since multiplying -4 by 3 is same as adding -3 four times). Correct.
• Expression 6: \(4 - 3\) is a single subtraction, not for 4 balloons. Incorrect.

Answer:

• \(-3 - 3 - 3 - 3\)
• \(-4 \cdot 3\) (or \(-4 \times 3\))