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Midterm 3 Preparation and Sample Questions

Midterm 3: Version B

For problems 1–4, perform the indicated operations and simplify.

  1. 5m34n2÷3m313n312m426n2
  2. 3x2+9x3x+9÷x2+3x186x2+18x
  3. 5xx+35xx3+90x29
  4. 9a2b2253ab+5

Reduce the expressions in questions 5–7.

  1. 72d3+418d3249d4
  2. a6b35a
  3. 53+5

Solve for x.

  1. 4x+12=x

For problems 9–12, find the solution set by any convenient method.

  1. 1
    1. 2x2=98
    2. 4x2=12x
  2. 1
    1. x2x20=0
    2. x2=2x+35
  3. x3x+2+6x+3=1
  4. x45x2+4=0
  5. The length of a rectangle is 3 m longer than its width. If it has a perimeter that is 46 m long, then find the length and width of this rectangle.
  6. Find three consecutive even integers such that the product of the first two is 16 more than the third.
  7. A boat cruises upriver for 4 hours and returns to its starting point in 2 hours. If the speed of the river is 5 km/h, find the speed of this boat in still water.

Midterm 3: Version B Answer Key

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