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Systems of Linear Equations Review

  •  English    13     Public
    A review of linear equations, and systems of linear equations.
  •   Study   Slideshow
  • Newt Scamander bought 10 dragon eggs and 5 bowtruckles (saving them from the blackmarket) for a total of 1200 galleons. If dragon eggs cost 60 galleons more than bowtruckles, how much did they each cost?
    100 galleons for Dragon 40 for Bowtruckles.
  •  25
  • Jacob Kowalski is selling pastries in his new shop. He sells 5 niffler pastries, and 12 erumpent pastries for a total of 39 pounds. If a niffler pastry is one pound more than an erumpent pastry, how much to they each cost?
    3 pounds for Niffler, 2 pounds for Erumpent
  •  25
  • At his joke shop, George Weasley sells 25 fake wands and 21 extendable ears. From that alone, he makes 523 galleons. If a fake wand costs 10 galleons, how much does one extendable ear cost?
    13 galleons
  •  15
  • Luna and Neville each improved their yards by planting devil's snare and geraniums. Luna spent 94 sickles on 4 devil's snare and 6 geraniums. Neville spent 194 on 14 devil's snare, and 6 geraniums. What is the cost of each?
    10 sickles for Devil's snare, and 9 sickles for geraniums.
  •  20
  • Hogwarts is selling tickets to the quidditch finals. On the first day, the school sold 2 teacher tickets and 8 student tickets for a total of 90 knuts. Then the school took in 115 by selling 7 teacher tickets and 8 student tickets.
    5 knuts for teacher tickets, and 10 knuts for student's tickets.
  •  20
  • Solve using substitution. y=3x+13 and y=-2x-2
    x=-3 and y=4
  •  15
  • Solve using substitution y=4x+7 and y=-7x+15
    x= 2 and y=1
  •  15
  • Solve using any method. Mike and Shawna each improved their yards by planting grass sod and shrubs. Mike spent $143 on 11 ft² of grass sod and 11 shrubs. Shawna spent $119 on 7 ft² of grass sod and 11 shrubs. What is the cost of each?
    grass $6 and shrub $7
  •  25
  • Solve using elimination 3x+4y=10 -3x+5y=-1
    y=1 and x=2
  •  15
  • Solve using elimination 2x+3y=-4 4x-25y=-8
    x=-2 and y=0
  •  15
  • Solve by graphing y+3x=5 y=2x-10
    (3,-4)
  •  10
  • Solve by graphing y=2x+4 y=2x-5
    No solution
  •  5
  • Solve using any method y=2x+4 3y-6x=12
    Infinitely many solutions
  •  10