Question

A hand of six integer cards has one matching set of two or more cards. If the matching set of cards is removed from the hand, the score of the hand will increase by eight. What are the possible values of these matching cards? Select all that apply.

Question 1 options:

4


-4


2


-2


1


-1

Answer 1

-4

Explanation:

Since the total score Increased by eight than the two matching cards must have been -4.

(total of four cards) + (two matching cards) = total score

(total of four cards) + (two cards × -4) = total score

(total of four cards) - 8 = total score

* take away two matching cards by adding 8 on both sides*

(total of four cards) = total score + 8