GED Practice

GED Math Review: Quadratic Formula


Questions:
Directions: Choose or write the answer to each question. For questions 1 through 4, use the discriminant to determine how many real solutions the equation has.


  1. 3x2 + 8x + 6 = 0
  2. z2 =  9
  3. 9d2 + 16 = 24d
  4. -2x2 = 25 - 10x
  5. what values of a, b, and c should be substituted into the quadratic formula to solve 5x2 - 3x + 2 = 0?
    • a = 5; b = -3; c = -2
    • a = 5; b = 3; c = -2
    • a = 5; b = -3; c = 2
    • a = 5; b = -3; c = 2
  6. What does it mean if the value under the radical sign in the quadratic formula is negative?
    • The quadratic equation has one  real solution.
    • The quadratic equation has two real solutions.
    • The quadratic equation has no real solution.
    • There is an error in the calculations.
  7. If 16 + r2 - 8r = 0, what is r?
    • -4
    • -2
    • 2
    • 4
  8. If 2n2 - 98, what is n?
    • -49 or 49
    • -7 or 7
    • 7
    • 49
  9. If 3x2 + 16x - 84 = 0, what is x (rounded)?
    • -3.26
    • -3.26, 8.59
    • 3.26, -8.59
    • no real solutions
  10. If 34z2 + 19z = 15, what is z (rounded)?
    • -0.44, 1.00
    • 0.44, -1.00
    • 1.00
    • no real solutions
Answer:

  1. 0
  2. 2
  3. 1
  4. 0
  5. a = 5; b = -3; c = 2
  6. The quadratic equation has no real solution.
  7. 4
  8. -7 or 7
  9. 3.26, -8.59
  10. 0.44, -1.00







Reference:


Complete Test Preparation for the GED Test 2014 by Steck-Vaughn