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Practice

8.3.5 Practice

8.3.5 • Practice

Complete the following questions to practice the skills you have learned in this lesson.

For questions 1 - 2, determine the number of solutions. Then solve the equation.

  1. 3 x 2 = 48
  1. 2 solutions; x = 12 and x = − 12
  2. 2 solutions; x = 4 and x = − 4
  3. 1 solution; x = 4
  4. 0 solutions
  1. ( x + 2 ) ( x + 2 ) = 0
  1. 2 solutions; x = 2 and x = − 2
  2. 1 solution; x = 2
  3. 1 solution; x = − 2
  4. 0 solutions
For questions 3 – 10, solve the quadratic equation.
  1. 4 m 2 = 36
  1. m = 2 and m = − 2
  2. m = 9 and m = − 9
  3. m = 3
  4. m = 3 and m = − 3
  1. d 2 − 25 = 0
  1. d = 25
  2. d = − 5
  3. d = 5
  4. d = 5 and d = − 5
  1. 2 3 z 2 = 54
  1. z = 7 and z = − 7
  2. z = 9 and z = − 9
  3. z = 7 and z = − 9
  4. z = 6 and z = − 6
  1. 4 p 2 + 10 = 266
  1. p = 8 and p = − 8
  2. p = 16 and p = − 16
  3. p = 12 and p = − 12
  4. p = 18 and p = − 18
  1. ( a − 7 ) 2 + 5 = 105
  1. a = 3 and a = − 3
  2. a = − 10 and a = 10
  3. a = − 17 and a = 3
  4. a = 17 and a = − 3
  1. ( b − 1 ) 2 − 9 = 55
  1. b = − 9 and b = 7
  2. b = 9 and b = − 7
  3. b = 8 and b = − 8
  4. b = 9 and b = − 9
  1. 1 7 ( x + 3 ) 2 − 5 = 2
  1. x = − 2 and x = 12
  2. x = − 4 and x = 4
  3. x = 4 and x = − 10
  4. x = − 4 and x = 10
  1. 5 ( x − 8 ) 2 − 7 = 118
  1. x = 5 and x = − 11
  2. x = 5 and x = − 5
  3. x = − 3 and x = − 13
  4. x = 13 and x = 3