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Algebra 1

8.8.5 Practice

Algebra 18.8.5 Practice

8.8.5 Practice

8.8.5 • Practice

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

  1. Which of the following is equivalent to 10 2 − 12 2 ?
  1. ( 10 + 12 ) ( 10 − 12 )
  2. ( 10 − 12 ) 2
  3. ( 10 − 12 ) ( 10 − 12 )
  4. ( 10 + 12 ) ( 10 + 12 )
For questions 2 – 10, select the expression in factored form.
  1. c 2 − 25
  1. ( c + 5 ) ( c + 5 )
  2. ( c − 5 ) ( c + 5 )
  3. ( c − 5 ) ( c − 5 )
  4. c ( c − 25 )
  1. 9 w 2 − 121
  1. ( 3 w − 11 ) ( 3 w − 11 )
  2. w ( 9 w − 121 )
  3. ( 3 w + 11 ) ( 3 w + 11 )
  4. ( 3 w − 11 ) ( 3 w + 11 )
  1. h 2 − 121
  1. ( h + 11 ) ( h + 11 )
  2. ( h − 11 ) ( h − 11 )
  3. ( h − 11 ) ( h + 11 )
  4. ( h − 11 ) 2
  1. 64 − d 2
  1. ( 8 + d ) ( 8 + d )
  2. ( 8 − d ) ( 8 + d )
  3. ( 8 − d ) ( 8 − d )
  4. Not possible
  1. 4 b 2 − 25
  1. ( 2 b + 5 ) ( 2 b + 5 )
  2. b ( 4 b − 25 )
  3. ( 2 b − 5 ) ( 2 b − 5 )
  4. ( 2 b − 5 ) ( 2 b + 5 )
  1. 49 − 81 z 2
  1. ( 7 − 9 z ) ( 7 + 9 z )
  2. z ( 49 − 81 z )
  3. ( 7 − 9 z ) ( 7 − 9 z )
  4. ( 7 + 9 z ) ( 7 + 9 z )
  1. 100 y 2 − 4
  1. ( 10 y − 2 ) ( 10 y − 2 )
  2. ( 10 y − 2 ) ( 10 y + 2 )
  3. ( 10 y + 2 ) ( 10 y + 2 )
  4. Not possible
  1. x 2 + 9
  1. ( x + 3 ) ( x + 3 )
  2. ( x − 3 ) ( x + 3 )
  3. ( x − 3 ) ( x − 3 )
  4. Not possible
  1. 144 − 16 g 2
  1. ( 12 − 4 g ) ( 12 − 4 g )
  2. ( 12 + 4 g ) ( 12 + 4 g )
  3. ( 12 − 4 g ) ( 12 + 4 g )
  4. Not possible
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