[tex]1.\\\$55\ 000-\$1\ 000=\$54\ 000\\\\\$54\ 000:2=\$27\ 000\\\\\\Answer:B[/tex][tex]2.\\-4(x-11)=16\\\\-4\cdot x-4\cdot(-11)=16\\\\-4x+44=16\ \ \ /:(-4)\\\\-4x:(-4)+44:(-4)=16:(-4)\\\\x-11=-4\\\\Answer:G[/tex]

Question #1:Since it is unknown how much they paid for the original painting, we'll use x to represent that. 2x+1000 is equal to 55,000, so that is our equation.2x+1000=55,0002x=54,000x=27,000 The Leungs originally paid $27,000 (answer choice B)Question #12:-4(x-11)=16Apply the distributive property. -4x+44=16-4x=--28x=7Since x=7, let's figure out which answer choice can be possible by subsituting the x in each answer choice with 7.Answer choice F: Does 7-11=4? No, so this answer can't be correct.Answer choice G: Does 7-11=-4? Yes! This answer is correct.Answer choice H: Does -28-11=16? No, so this answer can't be correct.Answer choice I: Does -28+44=64? No, so this answer can't be correct.It is answer choice G.