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SWBAT: Solve word problems.

SWBAT: Solve word problems. Day 5 Systems of Equations Word problems. SWBAT: Solve word problems using linear systems. Warm Up (Page 6). a = Price of an adult ticket c = Price of a child ticket. 2a + 10c = 158. 2a + 10c = 158. -2( ). -14a -10c = -266. 7a + 5c = 133.

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SWBAT: Solve word problems.

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  1. SWBAT: Solve word problems. Day 5 Systems of Equations Word problems

  2. SWBAT: Solve word problems using linear systems. Warm Up (Page 6) a = Price of an adult ticket c = Price of a child ticket 2a + 10c = 158 2a + 10c = 158 -2( ) -14a -10c = -266 7a + 5c = 133 -12a = -108 a = Price of an adult ticket = $9 c = Price of a child ticket = $14 a = 9 2(9) + 10c = 158 c = 14

  3. SWBAT: Solve word problems. Day 5 Systems of Equations Word problems

  4. SWBAT: Solve word problems using linear systems. PAGE 32 (5x1,000) + (4x100)+(4x10)+(2x1) (8x100,000)+(9x10,000)+(5x1,000)+(9x100)+(6x10)+(5x1)

  5. SWBAT: Solve word problems using linear systems. 65,433 2,088 1,900

  6. SWBAT: Solve word problems using linear systems. (5x10)+(2x1) (1x10)+(8x1) (7x10) (10x)+(1y)

  7. SWBAT: Solve word problems using linear systems. t = tens digit u = ones digit Original: 25 Original number = 10t + u Reversed number = 10u + t 10t + u + 27 = 10u + t t + u = 7 t – u = -3 9t + 27 = 9u 2t = 4 9t – 9u = -27 t = 2 t – u = -3 u = 5

  8. SWBAT: Solve word problems using linear systems. t = tens digit u = ones digit Two Digit 25 = (2x10) + (5x1) 52 = (5x10) + (2x1) Original number = 10t + u Reversed number = 10u + t t + u = 7 10t + u + 27 = 10u + t

  9. SWBAT: Solve word problems using linear systems. PAGE 33 t = tens digit u = ones digit Original: 67 Original number = 10t + u Reversed: 76 Reversed number = 10u + t 10t + u + 9 = 10u + t t + u = 13 t - u = -1 9t + 9 = 9u t + 1 = u 2t = 12 t = 6 t - u = -1 u = 7

  10. SWBAT: Solve word problems using linear systems. t = tens digit u = ones digit Original number = 10t + u Reversed number = 10u + t t + u = 11 10t + u - 63 = 10u + t

  11. SWBAT: Solve word problems using linear systems. t = tens digit u = ones digit

  12. SWBAT: Solve word problems using linear systems. Example 3: (Page 34): A boat traveled 60 miles downstream and back. The trip downstream took 3 hours. The trip back (upstream) took 30 hours. What is the speed of the boat in still water? What is the speed of the current? Distance = Rate x Time OR d=rt

  13. SWBAT: Solve word problems using linear systems. d=rt Example 3: (Page 34): A boat traveled 60 miles downstream and back. The trip downstream took 3 hours. The trip back (upstream) took 30 hours. What is the speed of the boat in still water? What is the speed of the current? Downstream d=rt 60=3r 20=r 20 mph Upstream d=rt 60=30r 2=r 2 mph v + c = 20 v – c = 2 v = speed of the boat c = speed of the current

  14. SWBAT: Solve word problems using linear systems. Example 3: (Page 34): A boat traveled 60 miles downstream and back. The trip downstream took 3 hours. The trip back (upstream) took 30 hours. What is the speed of the boat in still water? What is the speed of the current? v + c = 20 v – c = 2 v + c = 20 11 + c = 20 c = 9 2v = 22 v = 11 v = 11 mph c = 9 mph

  15. SWBAT: Solve word problems using linear systems. Example 4: (Page 34) A boat traveled 352 miles downstream and back. The trip downstream took 11 hours. The trip back took 22 hours. Find the speed of the boat in still water and the speed of them current. Downstream d=rt 352=11r 32=r 32 mph Upstream d=rt 352=22r 16=r 16 mph v + c = 32 v – c = 16 Downstream d=rt 352=11r 32=r 32 mph 2v = 48 v = 24 mph c = 8 mph

  16. SWBAT: Solve word problems. Day 2b Systems of Equations

  17. SWBAT: Solve word problems using linear systems. #6 (Page 35): The sum of the digits of a certain two-digit number is 16. When you reverse its digits you decrease the number by 18. Find the number. t = tens digit u = ones digit Reversed number = 10u + t Original number = 10t + u 10t + u - 18 = 10u + t t + u = 16 9t - 18 = 9u t = 16 - u t - 2 = u t = 9 u = 7 16-u - 2 = u 14 = 2u 7 = u Original number: 97

  18. SWBAT: Solve word problems using linear systems.

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