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Algebra 1

8.5.5 Practice

Algebra 18.5.5 Practice

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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. No solutions
  2. x = 6 and x = 1
  3. x = 8 and x = 1
  4. x = 7 and x = 2
  1. ( x 4 ) ( x + 9 ) = 42.25
  1. No solutions
  2. x = 5 and x = 1
  3. x = 3 and x = 2
  4. x = 2.5
  1. Which statement is true of the equation x 2 + 36 = 0 ?
  1. The equation has no solutions.
  2. The solutions are x = 6 and x = 6 .
  3. The solution is x = 6 .
  4. The solutions are x = 0 and x = 6 .
  1. Which statement is true of the equation x 2 + 9 x = 0 ?
  1. The equation has no solutions.
  2. The solutions are x = 9 and x = 9 .
  3. The solutions are x = 0 and x = 9 .
  4. The solution is x = 9 .
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