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Algebra 1

8.10.6 Practice

Algebra 18.10.6 Practice
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Complete the following questions to practice the skills you have learned in this lesson.

For questions 1 – 4, find the factored form of the quadratic expression.

  1. 3 x 2 + 16 x + 5
  1. ( 3 x + 1 ) ( x + 5 )
  2. ( 3 x − 1 ) ( x − 5 )
  3. ( 3 x + 1 ) ( x − 5 )
  4. ( 3 x − 5 ) ( x − 1 )
  1. 2 x 2 + 11 x − 6
  1. ( 2 x + 1 ) ( x − 6 )
  2. ( 2 x − 1 ) ( x + 6 )
  3. ( 2 x − 6 ) ( x + 1 )
  4. ( 2 x + 6 ) ( x − 1 )
  1. 4 x 2 − 13 x + 3
  1. ( 4 x + 1 ) ( x + 3 )
  2. ( 4 x − 3 ) ( x − 1 )
  3. ( 4 x + 3 ) ( x + 1 )
  4. ( 4 x − 1 ) ( x − 3 )
  1. 2 x 2 − 3 x − 2
  1. ( 2 x − 1 ) ( x + 2 )
  2. ( 2 x − 2 ) ( x + 1 )
  3. ( 2 x + 2 ) ( x − 1 )
  4. ( 2 x + 1 ) ( x − 2 )
  1. The height, in meters, of a baseball being hit is modeled by the function h ( x ) = − 2 x 2 + 12 x + 3 where x is the number of seconds since being hit.

    Approximately how many seconds pass before the baseball lands on the ground? Use graphing technology if needed.
  1. 7.56 seconds
  2. 7.26 seconds
  3. 6.24 seconds
  4. 4.38 seconds
  1. The height, in meters, of a roller coaster is modeled by the function h ( x ) = − 2 x 2 + 20 x + 5 where x is the number of seconds after starting.

    Approximately how many seconds pass before the roller coaster reaches the ground? Use graphing technology if needed.
  1. 10.244 seconds
  2. 8.365 seconds
  3. 7.963 seconds
  4. 5.221 seconds
For questions 7 – 10, find the factored form of the quadratic expression.
  1. 3 x 2 + 2 x − 5
  1. ( 3 x − 5 ) ( x + 1 )
  2. ( 3 x + 5 ) ( x − 1 )
  3. ( x + 5 ) ( 3 x − 1 )
  4. ( 3 x + 5 ) ( x + 1 )
  1. 4 x 2 + 4 x − 15
  1. ( 2 x + 3 ) ( 2 x − 5 )
  2. ( 4 x + 3 ) ( x − 5 )
  3. ( 2 x − 3 ) ( 2 x + 5 )
  4. ( 4 x − 3 ) ( x + 5 )
  1. 5 x 2 − 39 x − 8
  1. ( 5 x + 1 ) ( x − 8 )
  2. ( 5 x − 8 ) ( x + 1 )
  3. ( 5 x + 8 ) ( x − 1 )
  4. ( 5 x − 1 ) ( x + 8 )
  1. 6 x 2 + 53 x − 9
  1. ( 6 x + 1 ) ( x − 9 )
  2. ( 2 x − 1 ) ( 3 x + 9 )
  3. ( 3 x − 1 ) ( 2 x + 9 )
  4. ( 6 x − 1 ) ( x + 9 )
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