Midterm 1 Preparation

Midterm 1: Version A

  1. Evaluate: -b - \sqrt{b^2 - 4ac} if a=4, b=-3, and c=-1.
  2. Solve for x in the equation 2(x - 5) - 85 = 3 - 9(x + 6).
  3. Isolate the variable b in the equation A = \dfrac{h}{B-b}.
  4. Solve for x in the equation \dfrac{x+1}{4} - \dfrac{5}{8} = \dfrac{x-1}{8}.
  5. Write an equation of the vertical line that passes through the point (-2, 5).
  6. Find the equation that has a slope of \dfrac{2}{5} and passes through the point (-1, -2).
  7. Find the equation of the line passing through the points (-2, 0) and (6, 4).
  8. Graph the relation y = \dfrac{2}{3}x - 1.

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

  1. 6x - 5(1 + 6x) > 67
  2. -10 \le 4x - 2 \le 14
  3. \left| \dfrac{3x+2}{5} \right| = 2
  4. Graph the relation 5x + 2y < 15.
  5. Find two numbers such that 5 times the larger number plus 3 times the smaller is 47, and 4 times the larger minus twice the smaller is 20.
  6. Karl is going to cut a 36 cm cable into 2 pieces. If the first piece is to be 5 times as long as the second piece, find the length of each piece.
  7. y varies jointly with m and n and inversely with the square of d. If y = 3 when m = 2, n = 8, and d = 4, find the constant k, then use k to find y when m = 15, n = 10, and d = 5.

<a class=”internal” href=”/intermediatealgebraberg/back-matter/midterm-one-version-a-answer-key/”>Midterm 1: Version A Answer Key

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Intermediate Algebra by Terrance Berg is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.

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