MTH 125 exercises for test 1
1. Transpose the formula to make,” a” the subject. t =
   2. Solve one system using one method.
      2x – 2y = 5                 3u – 2v = 2            2m + 4n = 6.8
      4x + y = 1                  5u + v = 4.2           5m – 2n = – 1
   3. Solve quadratic equation by factorization, by completing squares.
      4x2 – 12x + 8 = 0      3x2 + 5x – 2 = 0
   4. A field has the form of right-angel trapezium ABCD. Angles of the base are B =
      90 and A = 60. Side AD and diagonal BD are equal AD = BD = 16.4m. find the
      area and circumference trapezium.
   5. Solve the logarithmic and exponential equations.
      log(x – 4)2 – log3= log(5 – 2x)       43x-2 = ex+3
   6. In an experiment are measured the quantities Q and R. The results are on the
      table below.
      Q (units)       4               6.5           8             10          12.5
      R (units)       24.3            45.3          62.7          91.5        136
           It is thought that “R” is related to “Q” by the law R = aQ + b, where a and b
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      are constant. Find linear function Y = mX + c and determine values for “a” and
      “b”.
      Note. Exercises 1, 2, 3, and 4 have 15 points. Exercises 5 and 6 have 20 points.