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IM 1 Mid-chapter 1 Review

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  • 18x + 2 = 4(2x + 6)
    x = 2.2
  • 2f(2) + 9(3) = 4f +27
    infinitely many solutions
  • -(2x +4) = 8
    x = -6
  • 2x/3 - 6 = -5
    x = 3/2 or 1.5
  • 4m - 5 = 11
    m = 4
  • -8 = -5t + 9 +11t
    t = -17/6 or -2.8333...
  • (zk)/f = n ; solve for z
    z = (nf)/k
  • 0.5x + 0.25(x + 16) = 4 + 0.75x
    infinitely many solutions
  • fx - gx = h ; solve for x
    x = h/(f-g)
  • How many pounds of cashews that cost $14 per pound must be mixed with 5 pounds of peanuts that cost $6.50 per pound to make mixed nuts that cost $10.25 per pound.
    5 pounds of cashews
  • 4x + 20 = -x
    x = -4
  • 3x + 4 = 3x + 5
    no solution
  • a/c = b ; solve for c
    c = a/b
  • 3x + 7 = 4x + 7
    x = 0
  • x/5 + 8 = 10
    x = 10
  • 10(4x +2) = 5(x + 15)
    x = 11/7 or about 1.57
  • The weather report gives the temperature as 35 degrees Celsius. Find the equivalent temperature in degrees Fahrenheit.
    95 degrees
  • The sum of three consecutive integers is 78. What are the three integers?
    25, 26, 27
  • 5x - 3 = 2x + 96
    x = 33