Problems to study for Math 115 Exam 1

Here is a breakdown of Math 115 Exam 1 by topic. Each problem reference is a link, so you can click on it to see the problem. Your browser should take you to the right page of the exam, but keep in mind that the problem you're looking for might be toward the bottom of the page. Next to each problem you'll see a # character. If you click on that, it should take you to the solution.

Old exam problems should not be the only thing you study. They are designed to test knowledge, not teach it. And there's a danger that you might start thinking you know exactly what will be on the test. While there are some predictable topics, there will undoubtedly be questions on this year's exam which are different from any that have appeared before. So keep in mind that you're training yourself to approach hard problems, not memorizing how to do particular types.

Here's my suggestion for how to use this page:

  1. Try a sampling of problems to identify an area that you need help with.
  2. Go to your book to read about the topic.
  3. Come back here and find more problems on the same topic, to see if you got it.

Don't omit step 2.

I'm not entirely happy with the topics shown below. Please make suggestions on how to better categorize problems.

Let me know any errors you find, and any other feedback you have on how well it works and how to make it more useful. Links to all the exams are at the bottom of the page.

Topic 2001–2012 2013–present
True-False/Multiple Choice [1#] [1#] [1#] [6#] [1#] [1#] [1#] [1#] [1#] [5#] [1#] [6#] [1#] [1#] [3#] [1#] [1#] [forecast(6b)#] [4#] [10#]
Interpret the meaning of ƒ,ƒ′,ƒ−1,(ƒ−1)′ [Michigan Arizona(7e)#] [cable(7ac)#] [race(9e)#] [home prices(4)#] [parachute(7)#] [gasoline(8)#] [bicycle(11)#] [college loan(6)#] [particle(10abc)#] [Sunny(12ad)#] [cell phones(4c)#] [baskets(9)#] [salary(8)#] [sweetest(8)#] [arb(9)#] [chocolate(4c)#] [marathon(8ace)#] [sunset(5bc)#] [potential energy(8)#] [calc book(1)#] [Mexico(7)#] [balloon(8)#] [invasive tree(4)#] [Shakespeare(9)#] [woot2(5abc)#] [Big Bang(9)#] [fluorescent(6)#] [Detroit(3a)#] [gypsy punk(7)#] [census(8)#] [deer(1)#] [sonic boom(4)#] [Lehman(5)#] [8#] [socks(2)#] [H1N1(4)#] [nuclear forces(6ac)#] [oak trees(9)#] [mpg(3bc)#] [forecast(6bc)#] [solar array(8)#] [Twitter(4)#] [juice bar(1ab)#] [cheese(3a)#] [soup(5cd)#] [advertising(8)#] [reubens(2ab)#] [Tempo(6)#] [caffeine soap(3ab)#] [bacon soda(2)#] [property values(8d)#] [mold(2)#] [Waterville(7)#] [caffeine(5)#] [squirrel eye contact(3)#] [talking kangaroo(9b)#] [race(2)#] [scones(4)#] [chemical spill(2e)#] [train(5)#] [Crisler(10)#] [deep temp(5)#] [cats(7cd)#] [9c#] [1e#] [trash(5)#] [submerged caverns(2)#] [heater(5)#] [infections(7)#] [kale(8)#] [5 mile run(1a)#] [sheep and cows(7)#] [airplane(6)#] [soybeans(5)#] [carrot juice(7)#] [inchworm(3)#] [turbine(5)#] [compressor(2)#] [apartments(2)#] [Stan Lee(2)#] [solar power(4)#]
Definition of the Derivative [10#] [9#] [11#] [6#] [6cd#] [7#] [6#] [9#] [3#] [6ab#] [7#] [SOS(7)#] [8#] [6#] [internet(5d)#] [7#] [3#] [electric cars(5a)#] [China(9b)#] [6#] [advertising(8c)#] [bird(8c)#] [6a#] [3#] [4#] [bungee(4c)#] [helicopter(7a)#] [6#] [4#] [7a#] [2#] [3#] [6a#] [emissions(6)#] [2#] [7#] [2#] [6c#] [5#] [7g#] [8b#] [2#] [2e#] [6#] [1b#] [6a#] [4#] [3#] [6#]
Draw a graph with certain properties [3#] [2#] [4#] [2#] [2#] [2#] [7#] [4#] [5#] [7#] [9#] [9#] [2#] [2#] [7#] [7#] [9#] [5#] [8#] [10#] [6#] [6#] [8#] [6#] [5#] [2#] [4#] [2#] [4#] [6#] [4#] [8#] [7#] [6a#] [6a#] [balloon(7)#]
Trig Functions [climate(8)#] [foam(6)#] [Hankytown(12b)#] [2#] [7#] [candy corn(5)#] [swing(10)#] [US23(10)#] [chocolate(7)#] [sunset(5)#] [temperature(2b)#] [2cd#] [woot1(4)#] [CO2a(2)#] [guitar(2)#] [hurricane(2)#] [ferris wheel(4)#] [baby names(3)#] [ferris wheel(6)#] [7c#] [CO2c(4)#] [blue car(3)#] [football status(2)#] [ship(7)#] [squirrels(1)#] [7a#] [peppermint soda(4)#] [coffee(5)#] [bungee(4)#] [8#] [squirrel ferris wheel(6)#] [jumping rope(9)#] [8#] [glow toy(2)#] [chambers(6)#] [globe(2)#] [orchard robots(7)#] [submarine(9)#] [turbine(6)#] [helicopters(3)#] [lake(5)#] [waterwheels(3)#] [temperature(4)#] [ride(3)#] [giraffes(7)#] [Mars(2)#] [4b#] [spaceship(8)#] [sand castle(8)#] [jet engine(5)#]
Linear, Exponential, Power funcs [2#] [4#] [Michigan Arizona(7)#] [3#] [cable(7)#] [Hankytown(12a)#] [1#] [1#] [Sunny(12)#] [2#] [cell phones(4)#] [scale(10)#] [car insurance(3)#] [mummy(4)#] [socks(5)#] [chocolate(4)#] [chocolate(5)#] [gasoline(4)#] [6bc#] [temperature(2ac)#] [fresco(6)#] [invasive tree(4)#] [gas prices(1)#] [2#] [CO2b(3)#] [Detroit(3d)#] [primary(4)#] [deer(1)#] [Lehman(5)#] [Golden Gate(9)#] [air pressure(1)#] [internet(5)#] [7b#] [Detroit population(10b)#] [mpg(3a)#] [cyanide(1)#] [China(9a)#] [zombies(3)#] [juice bar(1cde)#] [cheese(3)#] [4a#] [reubens(2cd)#] [Dow Jones(4)#] [caffeine soap(3c)#] [pollutant(9)#] [foot size(1)#] [hot chocolate(10)#] [AA Detroit(1)#] [2#] [4b#] [squirrel chase 2(8)#] [talking kangaroo(9c)#] [ants(5)#] [chocolate(7a)#] [drug parking(7)#] [food trucks(9)#] [oak+pine(3)#] [pests(4)#] [9a#] [peanut butter(7)#] [9d#] [viral video(9)#] [7#] [race(1)#] [invasive species(3)#] [magic(1)#] [beehive(3)#] [4#] [2#] [river(1ab)#] [4a#] [birds(5)#] [ecologists(1)#]
Transformations and compositions [5#] [3#] [8#] [3#] [baskets(9a)#] [6ab#] [quetzals(3)#] [3#] [6a#] [2ab#] [5abcd#] [3#] [6a#] [sonic boom(4)#] [Google trends(6)#] [3#] [6d#] [5#] [8#] [apples(8ab)#] [cyanide(1cd)#] [9#] [bucket(6d)#] [1#] [bacon soda(2d)#] [7#] [11#] [talking kangaroo(9)#] [3#] [chocolate(7b)#] [11#] [10#] [11#] [10#] [submerged caverns(2b)#] [10#] [10#] [8#] [balloon(5d)#] [6#] [6fg#] [8b#] [airplane(6)#]
Piecewise Functions [5#] [5#] [10#] [6c#] [5#] [internet(5)#] [5#] [bird(8d)#] [10#] [5#] [mold(2)#] [3#] [helicopter(7b)#] [4#] [drug parking(7)#] [9#] [7#] [3#] [7#] [9#] [magic(1)#] [population(9b)#] [8cde#] [4#] [3#] [4c#] [8#] [3#] [7c#] [8#]
Power Rule [Sunny(12)#] [electric cars(5bc)#]
Rational functions and polynomials [6#] [hillary(8)#] [1#] [3#] [chips(5)#] [7ac#] [1bd#] [4c#] [7d#] [10#] [5#] [9#] [12#] [4ac#] [8d#] [4#] [10#] [9#] [6bc#] [8#] [9#] [9#] [population(9)#] [8#] [9#] [5b#] [4#] [8#] [7#]
Estimate ƒ′(x) from table or graph [race(9abcd)#] [2#] [8a#] [marathon(8bdf)#] [calc book(1)#] [5e#] [moon(8)#] [woot2(5d)#] [refrigerator(8)#] [guitar(2b)#] [Detroit(3b)#] [6bc#] [6#] [7#] [2#] [H1N1(4de)#] [Detroit population(10a)#] [forecast(6a)#] [refrigerator(7)#] [apples(8c)#] [2#] [2d#] [soup(5ab)#] [7ab#] [motorcyclist(4)#] [property values(8)#] [1cd#] [4#] [1#] [race(2)#] [train(5a)#] [coasters(1)#] [balloon(8b)#] [science club(3)#] [unicycle(1b)#] [race(1d)#] [balloon(5cd)#] [5 mile run(1cd)#] [train(2c)#] [air show(3ab)#] [river(1d)#] [train(9d)#] [3c#] [4b#]
Extract info about ƒ,ƒ′,ƒ′′ from table [8b#] [refrigerator(8)#] [3#] [8#] [refrigerator(7)#] [book vs fan(5)#] [2#] [7cd#] [1#] [AA Detroit(1)#] [sports drink(7)#] [9#] [train(5)#] [8#] [9#] [balloon(8)#] [unicycle(1)#] [10#] [train(2)#] [metal bar(6)#] [Elvis and Judy(1)#] [river(1)#]
Extract info about ƒ,ƒ′,ƒ′′ from graph [4#] [car(9)#] [11#] [10#] [bicycle(11)#] [2#] [4#] [9#] [particle(10)#] [rock climber(7)#] [9#] [6#] [sweetest(8)#] [2#] [7#] [4#] [3#] [8#] [9#] [7#] [3#] [5#] [8#] [7#] [8#] [1#] [6#] [runner(8)#] [Facebook(10)#] [2#] [bucket(6)#] [bird(8)#] [5#] [8ab#] [cat race(6)#] [10#] [ship(3)#] [6#] [2#] [10#] [squirrel chase(5)#] [8#] [10#] [chemical spill(2)#] [5#] [1#] [10#] [9#] [10#] [air show(3c)#] [pizza(7)#] [cat cafe(8)#] [train(9)#] [desert(5)#] [tram(5)#] [biking(3a)#]
Average rate of change [wheat(6)#] [7#] [3#] [7a#] [rock climber(7e)#] [7b#] [refrigerator(8a)#] [internet(5c)#] [refrigerator(7a)#] [book vs fan(5)#] [Tempo(6c)#] [bird(8ab)#] [5#] [cat race(6)#] [1b#] [ship(3d)#] [bungee(4ab)#] [squirrel chase(5f)#] [race(2)#] [chemical spill(2c)#] [coasters(1ad)#] [8c#] [cats(7ab)#] [balloon(8ac)#] [science club(3)#] [unicycle(1)#] [balloon(5b)#] [5 mile run(1b)#] [train(2be)#] [metal bar(6c)#] [8a#] [Elvis and Judy(1a)#] [river(1c)#] [train(9c)#] [3a#] [desert(5d)#] [7f#] [tram(5c)#]
Continuity and Limits [6#] [3#] [6#] [9#] [8#] [1#] [4#] [9#] [3#] [7b#] [1#] [4#] [8#] [3b#] [4#] [5#] [4#] [6#] [7#] [10#] [4#] [5#] [2#] [5#] [1a#] [6#] [1#] [4c#] [6b#] [1#] [3#] [1#] [2#]
Use a graph to draw its derivative [5#] [5#] [particle(10d)#] [8#] [9#] [5a#] [4#] [8c#] [9#] [1#] [11e#] [8a#] [8#] [6b#] [6b#] [biking(3b)#]
Misc [5#] [Sunny(12)#] [7#] [cylinder(4)#] [invertible(3)#] [8#] [nuclear forces(6)#] [bathtub(4)#] [1#] [magnets(2)#] [7bc#] [7#]

All Exam 1's, with their medians:

Winter, 2001 Exam Solutions NONE Winter, 2014 Exam Solutions 69
Fall, 2001 Exam Solutions NONE Fall, 2014 Exam Solutions 64
Winter, 2002 Exam Solutions 74 Winter, 2015 Exam Solutions 71
Fall, 2002 Exam Solutions 72 Fall, 2015 Exam Solutions 72
Winter, 2003 Exam Solutions 63 Winter, 2016 Exam Solutions 71
Fall, 2003 Exam Solutions 64 Fall, 2016 Exam Solutions 67
Winter, 2004 Exam Solutions 69 Winter, 2017 Exam Solutions 75
Fall, 2004 Exam Solutions 70 Fall, 2017 Exam Solutions 64
Winter, 2005 Exam Solutions 80 Winter, 2018 Exam Solutions 64
Fall, 2005 Exam Solutions 71 Fall, 2018 Exam Solutions 70
Winter, 2006 Exam Solutions 70 Winter, 2019 Exam Solutions 73
Fall, 2006 Exam Solutions 71 Fall, 2019 Exam Solutions 73
Winter, 2007 Exam Solutions 72 Winter, 2020 Exam Solutions 75
Fall, 2007 Exam Solutions 80 Fall, 2020 Exam Solutions 76
Winter, 2008 Exam Solutions 68 Winter, 2021 Exam Solutions 83
Fall, 2008 Exam Solutions 66 Fall, 2021 Exam Solutions 83
Winter, 2009 Exam Solutions 69 Winter, 2022 Exam Solutions 70
Fall, 2009 Exam Solutions 65 Fall, 2022 Exam Solutions 75
Winter, 2010 Exam Solutions 66 Winter, 2023 Exam Solutions 65
Fall, 2010 Exam Solutions 70 Fall, 2023 Exam Solutions 70
Winter, 2011 Exam Solutions 71 Winter, 2024 Exam Solutions NONE
Fall, 2011 Exam Solutions 81 Fall, 2024 Exam Solutions NONE
Winter, 2012 Exam Solutions 70  
Fall, 2012 Exam Solutions 70  
Winter, 2013 Exam Solutions 58  
Fall, 2013 Exam Solutions 75  

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