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Quiz Thursday
(Algebra range – pages 158-197 excluding 182-183 and starred problems)
Quiz Review PracticeSolve the equations
1. 3(x + 1) = 2(x + 1) + x2. 3(x + 1) – x = 2(x + 1) + 13. Solve for
Quiz Review
6x + 12 – 4x = 6x + 24 -2 2x + 12 = 6x + 22 -10 = 4x x = -2.5 or
3(x + 1) = 2(x + 1) + x 3x + 3 = 2x + 2 + x 3x + 3 = 3x + 2 3 = 2 x
NS
3(x + 1) – x = 2(x + 1) + 1 3x + 3 - x = 2x + 2 + 1 2x + 3 = 2x + 3 3 = 3 o
IMS
Solve for Multiply by 2 and divide by h Subtract or =
Define a variable or use a table or diagram, write an equation and solve it. Make sure to answer the question. Some of the answers may be fractions.
5. The perimeter (둘레 ) of a triangle is 51 centimeters. The lengths of its sides are consecutive odd integers. Find the lengths of all three sides.
6. A plane leaves an airport and flies north at a speed of 250 km per hour. A jet leaves the same airport 30 minutes (0.5 hours) later on the same path at 375 km per hour. How long does it take the jet to catch up to the plane. (Same direction travel)
7. A plane travels from Seoul to Taiwan at 600 km per hour. The same plane travels from Taiwan to Seoul at 450 km per hour. The flying time to Taiwan is 1 hour less than the flying time to Seoul. How far apart are the two cities. (Round Trip Travel)
8. Two trains starts at the same time from towns that are 564 km apart and meet in 6 hours. The average speed of one train was 14 km per hour faster than the other. Find the speed of each train. (Opposite Direction Travel)
# 5 6Speed Time distance
Small plane
250 km/h t + 0.5 250t + 125
jet 375 km/h t 375t
250t + 125 = 375t125t = 125t=1
1 hour
Let x = an odd integer x + (x+2) + (x+4) = 51 3x + 6 = 51 3x = 45 x = 1515, 17, 19
#7 #8
Speed Time DistanceTo Taiwan 600 t-1 600(t-1)To Seoul 450 t 450t
600t – 600 = 450t150t = 600t = 4
Distance 1800 km
Total distance = 564 km
distance = speed x time x = speed of one train speed x time + speed x time = distance ( x )( 6 ) + ( x + 14 ) ( 6 ) = 564 6x + 6x + 84 = 564 12x = 480 x = 40Speeds are 40 and 54 km / h
6 x 6(x+14)
To Study for the Quiz!
Practice problems on pages 167-168170-173Review types of problems 174-179184-196
Page 171•
Page 172•
Page 173
•
184 # 1Speed Time DIstance
Bus at 50 km per hour 50 6 300
Bus at 45 km ph 45 X 45x
Page 184 #2Speed Time Distance
To Everland 40 t 40t
Back from Everland
90 5-t 90(5-t)
90(5-t) = 40t450 – 90t = 40t130t = 450t = 3 To Everland To Home
Page 184 #3Speed Time Distance
To town 40 t 40t
Back from town
30 7-t 30(7-t)
40t = 210-30t70t = 210t = 3Distance 120 each way240 km total distance
Page 185 #4 Speed Time Distance
Commercial Jet
s+120 1620 miles
Corporate Jet
s 1260
The speed of the Commercial Jet is 540 m/h and the speed of the corporate jet is 420 m/h
Page 185 # 5Speed Time Distance
car s 32
plane 9s 576
The speed of the plane is 288 km/h
Page 185 # 6 Speed Time distance
Juhyeon 3
Himchan 6 t 6t
Page 186 # 7Speed Time distance
Helicopter 180 180t + 60
Plane 330 t 330t
Page 186 # 8Speed Time distance
Small plane 250 km/h t + 0.5 250t + 125
jet 375 km/h t 375t
250t + 125 = 375t125t = 125t=1
1 hour
Page 186 # 9Speed Time distance
유리 60 t 60t
범영 75 t-2 75(t-2)
60t=75(t-2)60t = 75t -15015t = 150t= 10
8 hours
Page 187 # 10 - 11
10)1.2 hours or 1 hour 12 minutes11)
Page 187 #12Speed Time distance
To Seoul 75 t 75tTO Home 50 t+1 50(t+1)
75t = 50t+5025t = 50t=23 hours to drive home
Page 188-189 #13-17
13)1800 km14) 15)8 hours16)7 hours17) 3 hours
Page 189 # 18
distance = speed x time x = speed of one train speed x time + speed x time = distance ( x )( 6 ) + ( x + 14 ) ( 6 ) = 564 6x + 6x + 84 = 564 12x = 480 x = 40Speeds are 40 and 54 km / h
Total distance = 564 km
Page 190 #19 4(s - 8) 4s
4(s-8) + 4s = 6088s -32 = 6088s = 640S = 8080 and 72 km/h
Page 190-191 # 20-23
20)48 km per hour21) 40 km per hour22) 18.5 km/h and 37.5 km/h23) 51 km/h and 45 km/h24) starred problem – not learned yet!
page 192 #25
Let x = an integerLet x+1 = 1st consecutive integerx+(x+1)=452x=44x=22x=22x+1=2322,23
22+23=4545=45
Page 192 # 26
Let x= even integerLet x+2=1st consecutive even integerLet x+4=2nd consecutive even integerx+(x+2)+(x+4)=723x+6=723x=66x=2222,24,26
22+24+26=7272=72
Page 192-194
27) -45, -4328) 11, 13, 15, 1729) 20, 2230) 24, 25, 2631) 332) -733) 10, 4034) 25, 55
35) 4.5 inches x 7.5 inches
36) 20, 80, 8037) 15, 17, 1938) 0
Page 195 # 39
Speed Time distanceTo Beach 55 t 55tReturn 65 12-t 65(12-t)
55t = 65(12-t)55t = 780 – 65t120t = 780t=6.5Distance to the resort is 357.5 miles
Page195 # 40-41
• Not learned yet
Page 196 # 42 16t 12t
16t + 12t = 4228t = 42t = 1.51.5 hours
Pages 196 – 197 # 43,45
43)Car 68 mph, Bus 34 mph44) next slide45)2 hours at 105 mph, 3 hours at 115 mph
Page 196 # 44Speed Time distance
To city 150 t 150tBack from city 100 5-t 100(5-t)
150t = 100(5-t)150t = 500 – 100t250t = 500t = 2Distance = 300 miles
