Question

ANSWER FAST Which situations can represent the expression 6 - x ? Check all that apply.

Naomi gives some of her six pencils away.

Sydney increased her collection of coins by six.

Benjamin lost six of his stickers.

Six servings of dinner were decreased by a number.

Westville has 6 fewer schools than Eastville.

Gabrielle decreased her 6-minute mile by an unknown amount of time.

Answer 1

A D F

Explanation:

Answer 2

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

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