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.