1. Test Notes MT8

2. Test Notes MT8 Notes: Work problems all set up the same: t + t = 1 1 st 2 nd t + t = 1 8.6 11.2 11.2t + 8.6t = 8.6 x 11.2 19.8t = 96.32 t = 96.32 19.8 t = 4.86 t = 4 hrs 52 min t + t = 1 10.6 9.8 9.8t + 10.6t = 9.8 x 10.6 20.4t = 103.88 t = 103.88 20.4 t = 5.09 t = 5 hrs 5 min

3. Test Notes MT8

4. Test Notes MT8 Notes: Work problems all set up the same: t + t = 1 1 st 2 nd t + t = 1 13 14.6 14.6t + 13t = 14.6 x 13 27.6t = 189.8 t = 189.8 27.6 t = 6.88 t = 6 hrs 53 min t + t = 1 15.2 11.9 11.9t + 15.2t = 11.9 x 15.2 27.1t = 180.88 t = 180.88 27.1 t = 6.67 t = 6 hrs 40 min

5. Test Notes MT8

6. Test Notes MT8 Notes: Mixture problems start with a grid. Be careful where you place your numbers! Amt% or $TTL 10 6 88 73 Now what? 16 X 10x 528 1168 The rest is just math! 10x + 528 = 1168 10x = 640 x = 64 Amt% or $TTL 3 15 60 33 Now what? X X + 3 45 60x 33x + 99 45 + 60x = 33x + 99 27x = 54 x = 2

7. Test Notes MT8

8. Test Notes MT8 Notes: Mixture problems start with a grid. Be careful where you place your numbers! Amt% or $TTL 45 8 100 89 X + 8 X 45x 800 89x + 712 45x + 800 = 89x + 712 44x = 88 x = 2 Amt% or $TTL 4 6 11 7 X X + 6 4x 66 7x + 42 4x + 66 = 7x + 42 3x = 24 x = 8 Faster this time…

9. Test Notes MT8

10. Test Notes MT8 You choose which type: These patterns work for MOST questions. r*t = r*t r*t + r*t = d r*t = r*t r*t + r*t = d These are the harder questions on the test. Make sure to get plenty of practice questions. r*t + r*t = d +(30) (70) = 500t t 100t = 500 t = 5 r*t = r*t (40) Paul Jennifer Paul has a 1 hour head start! (t+1) = (60) t 40t + 40 = 60t 20t = 40 t = 2

11. Test Notes MT8

12. Test Notes MT8 You choose which type: These patterns work for MOST questions. r*t = r*t r*t + r*t = d r*t = r*t r*t + r*t = d These are the harder questions on the test. Make sure to get plenty of practice questions. r=11 (11) (14) r 11 r(11+3) = 154 r*t + r*t = d (55) Beth John Cruise has a 3 hour head start! 220 + 55t = 275 r*t = r*t Cruise Container (t+3) = Two variables, 1 equation! Can’t solve unless we find t or r. We carefully read the problem again and figure out t is really 11! Plug in 11 for t. 14r = 154 + (55) (4) = 275 t 55t = 55 t = 1