ID: 1. Algebra 2. 2) Working together, Mike and Mofor can mop a warehouse in 4.24 hours. Had he. done it alone it would have taken Cody 15

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1 Algebra 2 m z2k0h1a5n ekkurtzax WSfoGfhtdwyairxel RLRLcCH.B T nallwlu jrwidgyhatrs] Zr]eLsIeNrxvqeDd`. Term 3 CTA Study Guide Solve each question. Round your answer to the nearest hundredth. 1) Paul can clean an attic in 14 hours. One day his friend Shanice helped him and it only took 6.46 hours. Find how long it would take Shanice to do it alone. 2) Working together, Mike and Mofor can mop a warehouse in 4.24 hours. Had he done it alone it would have taken Mofor nine hours. How long would it take Mike to do it alone? ID: 1 3) Working together, Willie and Matt can harvest a field in 4.44 hours. Had he done it alone it would have taken Matt eight hours. How long would it take Willie to do it alone? 4) Norachai can pick forty bushels of apples in 15 hours. Danielle can pick the same amount in 11 hours. How long would it take them if they worked together? 5) Working alone, it takes Alberto eight minutes to sweep a porch. John can sweep the same porch in 15 minutes. Find how long it would take them if they worked together. 6) Working together, Eugene and Cody can sweep a porch in 6.67 minutes. Had he done it alone it would have taken Cody 15 minutes. Find how long it would take Eugene to do it alone. 7) Anjali can clean an attic in 8 hours. One day her friend Totsakan helped her and it only took 4.63 hours. How long would it take Totsakan to do it alone? 8) Working alone, Jacob can pick forty bushels of apples in 10 hours. Julio can pick the same amount in 12 hours. Find how long it would take them if they worked together. 9) Working alone, it takes Shanice 12 hours to pick forty bushels of apples. Bill can pick the same amount in 11 hours. If they worked together how long would it take them? 10) Working together, Jimmy and Scott can paint a fence in 4.74 hours. Had he done it alone it would have taken Scott nine hours. Find how long it would take Jimmy to do it alone. L j2q0k1`5x \KEumtGaK \SIoDfWtmwfaarjeu FLRLiCb.F u CAllVlY WrHi\gkhOtVse kraepsvegrlvpesdt.q W kmsaxd_ev KwqiPtbhU DI[nFf[iBnHiDtyev NADlbgieobZrXaZ U2s. -1-

2 11) It takes Mike 13 hours to pick forty bushels of apples. Elisa can pick the same amount in 14 hours. Find how long it would take them if they worked together. 12) Working together, James and Chelsea can harvest a field in 7.74 hours. Had she done it alone it would have taken Chelsea 16 hours. How long would it take James to do it alone? 13) A passenger train left Berlin at the same time as a cattle train. The trains traveled in opposite directions. The cattle train traveled at a speed of 55 mph. After nine hours they were 855 mi. apart. How fast did the passenger train travel? 14) A diesel train made a trip to the repair yards and back. On the trip there it traveled 90 km/h and on the return trip it went 36 km/h. How long did the trip there take if the return trip took 15 hours? 15) An Air Force plane left Nairobi and flew toward the maintenance facility. One hour later a cargo plane left flying 105 km/h faster in an effort to catch up to it. After three hours the cargo plane finally caught up. Find the Air Force plane's average speed. 16) Scott left the hospital traveling north one hour before Stefan. Stefan traveled in the opposite direction going 5 km/h slower then Scott for one hour after which time they were 220 km apart. How fast did Scott travel? 17) Pranav left Imani's house and drove toward the mountains at an average speed of 50 km/h. Kristin left three hours later and drove in the opposite direction with an average speed of 60 km/h. How long does Kristin need to drive before they are 260 km apart? 18) Stefan left the hardware store and drove toward the mountains. One hour later Eugene left driving at 78 km/h in an effort to catch up to Stefan. After driving for two hours Eugene finally caught up. What was Stefan's average speed? 19) Imani left the White House at the same time as Eugene. They drove in opposite directions. Eugene drove at a speed of 80 mph. After three hours they were 420 mi. apart. How fast did Imani drive? 20) An Air Force plane left Tokyo and flew east. A jet left two hours later flying at 325 mph in an effort to catch up to the Air Force plane. After flying for three hours the jet finally caught up. Find the Air Force plane's average speed. [ C2p0x1z5_ wkmuctjaa esvokfstkwsaurjer wlllyc`.b \ LArlMl[ UrKiggKhutUsz crkeesiewrlvkeedo.c v XM\a[daeL LwVi`tIh` EIunjfriwnRipt\eM RAqlKgBeXbtrXaH `2a. -2-

3 21) An aircraft carrier traveled to Tahiti and back. It took four hours longer to go there than it did to come back. The average speed on the trip there was 15 mph. The average speed on the way back was 25 mph. How many hours did the trip there take? 22) Natalie made a trip to the town hall and back. The trip there took three hours and the trip back took five hours. She averaged 28 mph faster on the trip there than on the return trip. What was Natalie's average speed on the outbound trip? Simplify each expression. 23) 8(-6x + 4) + x(1-4x) 24) 4(4k - 2) + 3(7 + 5k) 25) -4(x - 4) + 2(4 + x) 26) 5v(4v + 7) - 6v(8v - 1) 27) 2m(-4m - 5) + 5(-4 + 4m) 28) 2p(-p + 7) + 8(3 + 5p) 29) -7(6a - 5) - 8a(4a + 7) 30) -6k(6 - k) - 5(1 - k) 31) -6v(5v - 3) - 6(1 + 3v) 32) -5(3-4v) - v(6v + 1) 33) 2(r + 5) - 3r(1 + 2r) 34) 5(7n + 6) - 4n(n + 3) q W2x0x1t5Y zkxuztyat SStoTfstOwnahrYeW ylhlgcu.p i XAPlblU IriifgqhItksc aryeiskenrovwemde.g x PMvafd^e] RwDihtChI EIcn`fCiRnNiitdei UAKlVgFevbErAav I2B. -3-

4 35) 4(7v + 1) + v(7v - 3) 36) -2m(1 + 7m) + 7m(-6 + m) 37) -4(2-5x) - 8x(x + 8) 38) 2(p - 3) - 6(2-7p) a w2m0r1i5x EKVuJtOaz esvomfotxwsaorlem wlqlfcq.[ D masl[la orjisg_hetosz ]rwehsqemravbeqdw.k E ^MLaCdge^ uwei[tvhs YIHnqfeidnXiPtAeN _AHlKg^eLbpr`aB s2\. -4-

5 Answers to Term 3 CTA Study Guide (ID: 1) 1) hours 2) 8.02 hours 3) 9.98 hours 4) 6.35 hours 5) 5.22 minutes 6) minutes 7) hours 8) 5.45 hours 9) 5.74 hours 10) hours 11) 6.74 hours 12) hours 13) 40 mph 14) 6 hours 15) 315 km/h 16) 75 km/h 17) 1 hour 18) 52 km/h 19) 60 mph 20) 195 mph 21) 10 hours 22) 70 mph 23) -47x x 2 24) 31k ) -2x ) -28v v 27) -8m m ) -2p p ) -98a a 2 30) -31k + 6k ) -30v ) v - 6v 2 33) -r r 2 34) 23n n 2 35) 25v v 2 36) -44m - 7m 2 37) -8-44x - 8x 2 38) 44p - 18 E A2B0k1I5I TKfuztMac jsnovfattwbacr`ez ULJLeCT.H E NAolYln prvi]guhxtqsd ^ryefs]enr]vheldd.o w JMVaEdMe] zwridtxhn qi^nkflimnnigtcef vaolhgtelbbr^av T2W. -5-