Matt is playing a game. He gains 7 points, loses 10 points, gains 2 points, and then loses 8 points. What is his final score?

1 Answer
Mar 3, 2018

Matt's final score is #-9# points.

Explanation:

Translate the sentence from English to math. Assume that Matt is starting with #0# points:

# stackrel0 overbrace"Matt is playing a game"". " stackrel+ overbrace"He gains"" " stackrel7 overbrace"7 points"", " stackrel- overbrace"loses"" " stackrel10 overbrace"10 points"", " stackrel+ overbrace"gains"" " stackrel2 overbrace"2 points"", " stackrel- overbrace"and then loses"" " stackrel8 overbrace"8 points"". " stackrel= overbrace"What is"" " stackrel? overbrace"his final score?" #

Now copy down that math and compute it (I color-coded each action so it's easier to follow):

#color(white)=color(red)(0+7)-10+2-8#

#=color(red)7-10+2-8#

#=color(blue)(7-10)+2-8#

#=color(blue)(-3)+2-8#

#=color(green)(-3+2)-8#

#=color(green)(-1)-8#

#=color(orange)(-1-8)#

#=color(orange)(-9)#

Matt ended the game with #-9# points.