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Solve equations with variables on both sides: word problems

 \space \space \spaceSystem A  \space \space \space \space \space \space \space \space \space \space \space \space \space \space \spaceSystem B\newline\newline{[6x−5y=1]}\{[6x-5y=1]\}, \space \space \space \space \space{[4x−3y=0]}\{[4x-3y=0]\}\newline{[−2x+2y=−1]}\{[-2x+2y=-1]\},{[−2x+2y=−1]}\{[-2x+2y=-1]\}\newline\newlineHow can we get System B from System A ?\newlineChoose 11 answer:\newlineA) Replace one equation with the sum/difference of both equations\newlineB) Replace only the left-hand side of one equation with the sum/difference of the left-hand sides of both equations\newlineC) Replace one equation with a multiple of itself\newlineD) Replace one equation with a multiple of the other equation
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Vera studies the extinction of the bear population of Siberia over time. The following function gives the number of bears t t years since Vera started tracking it:\newlineB(t)=2190⋅e−0.3t B(t)=2190 \cdot e^{-0.3 t} \newlineWhat is the instantaneous rate of change of the number of bears after 22 years?\newlineChoose 11 answer:\newline(A) 12021202 years per bear\newline(B) 12021202 bears per year\newline(C) −361-361 years per bear\newline(D) −361-361 bears per year
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Julia and Lena started reading a science fiction book at the same time. During the first week, Lena read 1010 more pages than Julia. The following week, Lena read 1414 pages, and Julia read the same number of pages she read the first week. Now they are on the same page.\newlineWhich equation can you use to find jj, the number of pages Julia read during the first week?\newlineChoices:\newline(A) j+10+14=j+jj + 10 + 14 = j + j\newline(B) j+10=j+j+14j + 10 = j + j + 14\newlineHow many pages did Julia read during the first week?\newline___\_\_\_ pages
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A plane and a helicopter are both flying toward Clover City Airport. The plane is 1,2001,200 miles from the airport, and it is flying at a constant speed of 510510 miles per hour. The helicopter is 500500 miles from the airport, and it is flying at a constant speed of 160160 miles per hour.\newlineWhich equation can you use to find hh, the number of hours it will take for the plane and the helicopter to be the same distance from the airport?\newlineChoices:\newline(A) 1,200−500h=510−160h1,200 - 500h = 510 - 160h\newline(B) 1,200−510h=500−160h1,200 - 510h = 500 - 160h\newlineHow many hours will it take for the plane and the helicopter to be the same distance from the airport?\newlineSimplify any fractions.\newline____ hours\newline
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A plane and a helicopter are both flying toward Clover City Airport. The plane is 1,2001,200 miles from the airport, and it is flying at a constant speed of 510510 miles per hour. The helicopter is 500500 miles from the airport, and it is flying at a constant speed of 160160 miles per hour.\newlineWhich equation can you use to find hh, the number of hours it will take for the plane and the helicopter to be the same distance from the airport?\newlineChoices:\newline(A) 1,200−510h=500−160h1,200 - 510h = 500 - 160h\newline(B) 1,200−500h=510−160h1,200 - 500h = 510 - 160h\newlineHow many hours will it take for the plane and the helicopter to be the same distance from the airport?\newlineSimplify any fractions.\newline____ hours\newline
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