Pages 192-194

Review Homework

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 inches36) 20, 80, 8037) 15, 17, 1938) 0

Integer worksheet practice

Same Direction Travel page 176

If two people or objects are travelling in the same direction to the same place, the distance they each travel will be the same.

If you determine the distance they travel (distance equals speed (rate) times time d=st) you can set them equal to each other and solve for the unknowns.

Example Same Direction Travel page 176

Speed Time Distance

Train 1 45 t 45t

Train 2 60 t-1 60(t-1)

We solve the problem and get t=4. Now we go back to the word problem. “When will the second train catch up to the first train.4 hours is the time the 1st train travels. so 3 hours is the time the 2nd train travels.The 1st train left at 4pm, so the 2nd train left at 5pm.4+4 or 5+3 = 8PM

Practice page 177Soyoon is moving to a new home. A moving van leaves Soyoon’s house travelling at an average rate of speed of 40 km/h. Soyoon ‘s family leaves the house 30 minutes later following the same route (path) in their car. The car travels at an average rate of speed of 60 km/h. When will the car catch up to the van?

Speed Time Distance

Moving Van 40 km/h x 40(x)

Car 60 km/h x-0.5 60(x-0.5)

40x = 60(x- 0.5)40x = 60x -30-20x = -30 x = 1.5 hours 1.5 hours is the time for the moving van. The car will catch the van in 1.5-0.5 = 1 hour.

Speed Time Distance

Moving Van 40 km/h x 40(x)

Car 60 km/h x-0.5 60(x-0.5)

Speed Time Distance

Moving Van 40 km/h x+0.5 40(x+0.5)

Car 60 km/h x 60x

40(x+0.5)=60x40x+20=60x20x=20x=1

After the car has travelled for 1 hour

Practice / Homework

Page 184 #1page 185 – 186 # 4-9