Midterm 1 Preparation

Midterm 1: Version B

  1. Evaluate: -b - \sqrt{b^2 - 4ac} if a=5, b=6, and c=1.
  2. Solve for x in the equation 3(5x - 6) = 4\left[-3(2 - x)\right].
  3. Isolate the variable b in the equation A=\dfrac{h}{B \cdot b}.
  4. Solve for x in the equation \dfrac{x+3}{5} - \dfrac{x}{2} = \dfrac{5-3x}{10}.
  5. Find the equation of the horizontal line that passes through the point (-3, 4).
  6. Find the equation that has a slope of \dfrac{1}{3} and passes through the point (-1, 4).
  7. Find the equation of the line passing through the points (0, 4) and (-3, 5).
  8. Graph the relation y = \dfrac{1}{3}x - 2.

For questions 9 to 11, find each solution set and graph it.

  1. 6x - 4(3 - 2x) > 5 (3 - 4x) + 7
  2. -3 \le 2x + 3 < 9
  3. \left| \dfrac{3x+2}{5}\right| <2
  4. Graph the relation 5x + 2y < 10.
  5. Find two consecutive even integers such that their sum is 16 less than five times the first integer.
  6. Karl is going to cut a 40 cm cable into 2 pieces. If the first piece is to be 4 times as long as the second piece, find the length of each piece.
  7. P varies directly as T and inversely as V. If P = 100 when T = 200 and V = 500, find the constant k, then use this to find P when T = 100 and V = 500.

Midterm 1: Version B Answer Key

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