←
Practice

8.5.5 Practice

8.5.5 • Practice

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

For questions 1 - 2, decide whether each statement is true or false.

  1. x ( x − 5 ) = 0 has only one solution.
  1. false
  2. true
  1. A solution to x 2 − 49 = 0 is x = − 7 .
  1. false
  2. true
  1. Use graphing technology to determine the number of solutions for the equation ( x − 4 ) ( x + 5 ) = − 20 . Then find any solutions.
  1. Two solutions; x = − 1 and x = 0
  2. Two solutions; x = 1 and x = 0
  3. One solution; x = 1
  4. No solution
  1. Use graphing technology to determine the number of solutions for the equation ( x + 2 ) ( x + 5 ) = − 2 . Then find any solutions.
  1. Two solutions; x = 3 and x = 4
  2. Two solutions; x = − 3 and x = − 4
  3. Two solutions; x = − 3 and x = 4
  4. No solution
For questions 5 – 8, choose the best method to solve the equation and then use the method to find the solution.
  1. x ( x − 6 ) = 0
  1. x = 6 and x = − 6
  2. x = 0 and x = 6
  3. x = 6
  4. x = 0 and x = − 6
  1. 1 2 ( x − 4 ) 2 = 32
  1. x = 12 and x = − 4
  2. x = − 8 and x = 8
  3. x = − 12 and x = 4
  4. x = − 4 and x = 4
  1. ( x + 7 ) ( x − 2 ) = − 8
  1. x = − 6 and x = 1
  2. x = − 8 and x = − 1
  3. x = − 7 and x = 2
  4. No solutions
  1. ( x − 4 ) ( x + 9 ) = − 42.25
  1. x = − 5 and x = − 1
  2. x = − 3 and x = − 2
  3. x = − 2.5
  4. No solutions
  1. Which statement is true of the equation x 2 + 36 = 0 ?
  1. The solutions are x = 6 and x = − 6 .
  2. The solution is x = 6 .
  3. The solutions are x = 0 and x = 6 .
  4. The equation has no solutions.
  1. Which statement is true of the equation x 2 + 9 x = 0 ?
  1. The solutions are x = 9 and x = − 9 .
  2. The solutions are x = 0 and x = − 9 .
  3. The solution is x = − 9 .
  4. The equation has no solutions.