Answer:
Naomi gives some of her six pencils away
Six servings of dinner were decreased by a number
Gabrielle decreased her 6-minute mile by an unknown amount of time
Step-by-step explanation:
Verify each case
Part 1) Naomi gives some of her six pencils away
Let
x -----> some of Naomi's six pencils
The algebraic expression that represent this situation is
6-x
therefore
This situation can represent the given expression
Part 2) Sydney increased her collection of coins by six
Let
x -----> the number of coins in Sydney's collection
The algebraic expression that represent this situation is
x+6
therefore
This situation cannot represent the given expression
Part 3) Benjamin lost six of his stickers
Let
x -----> the number of stickers that Benjamin has
The algebraic expression that represent this situation is
x-6
therefore
This situation cannot represent the given expression
Part 4) Six servings of dinner were decreased by a number
Let
x -----> the number
The algebraic expression that represent this situation is
6-x
therefore
This situation can represent the given expression
Part 5) Westville has 6 fewer schools than Eastville
Let
x -----> the number of schools Eastville has
The algebraic expression that represent the number of schools Westville has is
x-6
therefore
This situation cannot represent the given expression
Part 6) Gabrielle decreased her 6-minute mile by an unknown amount of time
Let
x -----> an unknown amount of time
The algebraic expression that represent this situation is
6-x
therefore
This situation can represent the given expression
