Which situations can represent the expression 6 - x? Check the three that apply. (3 points)

Question

• Six servings of dinner were decreased by a number.
• Sydney increased her collection of coins by six.
• Naomi gives some of her six pencils away.
• Westville has 6 fewer schools than Eastville.
• Benjamin lost six of his stickers.
• Gabrielle decreased her 6-minute mile by an unknown amount of time.

Answer 1

The expression \( 6 - x \) can represent situations where you start with 6 and then take away a certain amount \( x \).

Based on that, the situations that apply are:

1. Six servings of dinner were decreased by a number. (This indicates you start with 6 servings and decrease it by some unknown number.)

2. Naomi gives some of her six pencils away. (This suggests she starts with 6 pencils and gives away an unknown number, which represents a decrease.)

3. Gabrielle decreased her 6-minute mile by an unknown amount of time. (This situation involves starting with a 6-minute mile and decreasing it by some unknown time, which also fits the expression.)

The other options do not properly reflect the expression \( 6 - x \):

• Sydney increased her collection of coins by six. (This involves an addition, not a subtraction.)

• Westville has 6 fewer schools than Eastville. (This compares two quantities but does not fit \( 6 - x \).)

• Benjamin lost six of his stickers. (This is a loss of 6, but it doesn't relate to a starting point of 6 minus an unknown amount.)

So the three situations that apply are: 1, 3, and 6.