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Problems about Numbers

5.6 – Applications. Problems about Numbers. If one more than three times a number is divided by the number, the result is four thirds. Find the number. LCD = 3x. Time to sort one batch (hours). Fraction of the job completed in one hour. 5.6 – Applications. Ryan. Mike. Together.

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Problems about Numbers

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  1. 5.6 – Applications Problems about Numbers If one more than three times a number is divided by the number, the result is four thirds. Find the number. LCD = 3x

  2. Time to sort one batch (hours) Fraction of the job completed in one hour 5.6 – Applications Ryan Mike Together Problems about Work Mike and Ryan work at a recycling plant. Ryan can sort a batch of recyclables in 2 hours and Mike can sort a batch in 3 hours. If they work together, how fast can they sort one batch? 2 3 x

  3. Time to sort one batch (hours) Fraction of the job completed in one hour 5.6 – Applications Ryan Mike Together Problems about Work 2 3 x LCD = 6x hrs.

  4. Time to mow one acre (hours) Fraction of the job completed in one hour 5.6 – Applications James Andy Together James and Andy mow lawns. It takes James 2 hours to mow an acre while it takes Andy 8 hours. How long will it take them to mow one acre if they work together? 2 8 x

  5. Time to mow one acre (hours) Fraction of the job completed in one hour 5.6 – Applications James Andy Together 2 8 x LCD: 8x hrs.

  6. Time to pump one basement (hours) Fraction of the job completed in one hour 5.6 – Applications 1st pump 2nd pump Together A sump pump can pump water out of a basement in twelve hours. If a second pump is added, the job would only take six and two-thirds hours. How long would it take the second pump to do the job alone? 12 x

  7. Time to pump one basement (hours) Fraction of the job completed in one hour 5.6 – Applications 1st pump 2nd pump Together 12 x

  8. 5.6 – Applications 60x LCD: hrs.

  9. 5.6 – Applications Distance, Rate and Time Problems If you drive at a constant speed of 65 miles per hour and you travel for 2 hours, how far did you drive?

  10. 5.6 – Applications A car travels six hundred miles in the same time a motorcycle travels four hundred and fifty miles. If the car’s speed is fifteen miles per hour faster than the motorcycle’s, find the speed of both vehicles. x t 450 mi t x + 15 600 mi

  11. 5.6 – Applications x t 450 mi t x + 15 600 mi LCD: x(x + 15) x(x + 15) x(x + 15)

  12. 5.6 – Applications x(x + 15) x(x + 15) Motorcycle Car

  13. 5.6 – Applications A boat can travel twenty-two miles upstream in the same amount of time it can travel forty-two miles downstream. The speed of the current is five miles per hour. What is the speed of the boat in still water? boat speed = x t x - 5 22 mi t x + 5 42 mi

  14. 5.6 – Applications boat speed = x t x - 5 22 mi t x + 5 42 mi LCD: (x – 5)(x + 5) (x – 5)(x + 5) (x – 5)(x + 5)

  15. 5.6 – Applications (x – 5)(x + 5) (x – 5)(x + 5) Boat Speed

  16. 5.7 – Division of Polynomials Review of Long Division

  17. 5.7 – Division of Polynomials Long Division

  18. 5.7 – Division of Polynomials Long Division

  19. 5.7 – Division of Polynomials Long Division

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