Midterm 1 Preparation

Midterm 1: Version C

  1. Evaluate -b - \sqrt{b^2 - 4ac} if a=4, b=4, and c=1.
  2. Solve for x in the equation 2(x - 4)+8 = 3-7(x+3).
  3. Isolate the variable B in the equation A=\dfrac{h}{B+b}.
  4. Solve for x in the equation \dfrac{x}{15} - \dfrac{x-3}{3} = \dfrac{1}{5}.
  5. Write the equation of the vertical line that passes through the point (-2, -2).
  6. Find the equation that has a slope of \dfrac{2}{3} and passes through the point (0, -3).
  7. Find the equation of the line passing through the points (14, -6) and (-1, 4).
  8. Graph the relation 2x-y=-2.

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

  1. 0 \le 2x + 4 <8
  2. y-1 >3\text{ or }y-1<-3
  3. |2x-3| >5
  4. Graph the relation y=| x | - 3.
  5. Find two numbers such that 5 times the larger number plus 3 times the smaller is 49, and 4 times the larger minus twice the smaller is 26.
  6. Karl is going to cut a 42 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 inversely with the square of d. If y = 3 when m = 2 and d = 4, find the constant k, then use k to find y when m = 25 and d = 5.

Midterm 1: Version C Answer Key

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