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Math 8: Cumulative Practice: Unit 1-3

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  • 1/4(3x+2) = x - 1/3
    10/3 or 3 1/3
  • Solve the system of linear equations: 2x+4y=12 x=y
    (2,2)
  • 3x - 3 = 4(x-9)
    33
  • How many solutions? 9x=7(x-2)+2(x+7)
    infinitely many solutions
  • 2.5x + 0.6 = x/2
    -0.3
  • How many solutions? 4x-2=6x-3
    one
  • Solve the system of linear equations: y=x-2 3y=2x
    (6,4)
  • Kacey spends 30 minutes studying for her math and history tests. She spends twice as long studying math as studying history. How much time does she spend on each subject?
    20 minutes on math, 10 minutes on history
  • Leyton buys bags of popcorn and bags of pretzels for a party. A bag of popcorn costs $2. A bag of pretzels costs $3. Leyton spends $24 for 10 bags in all. How many of each does he buy?
    6 bags of popcorn, 4 bags of pretzels.
  • Solve the system of linear equations:3x-y=4 x+y=9
    (3 1/4, 5 3/4)
  • Solve the system of linear equations: 3x + y = 0 x + y= 4
    (- 2,6)
  • How many solutions? 3(3+x)=3x-3
    no solution
  • 3x+2- 1/4x = 1/2(x-5)
    -2
  • Solve the system of linear equations:4x-2 = 3y y=3x
    (- 2/5, - 1 1/5)
  • Two points on a line are (10,55) and (15,82.5). What is the slope of the line?
    5.5
  • 1/5 (2x+1) = 1/2 (4-x)
    2