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Algebra 1

6.5.6 Practice

Algebra 16.5.6 Practice

6.5.6 Practice

6.5.6 • Practice

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

For questions 1 – 3, factor.

  1. u 2 − 9 u + 18
  1. ( u + 3 ) ( u − 6 )
  2. ( u + 3 ) ( u + 6 )
  3. ( u − 3 ) ( u − 6 )
  4. ( u + 9 ) ( u + 2 )
  1. 8 − 6 x + x 2
  1. ( x + 4 ) ( x − 2 )
  2. ( x − 4 ) ( x − 2 )
  3. ( x − 8 ) ( x + 1 )
  4. ( x + 4 ) ( x + 2 )
  1. a 2 + 5 a b − 24 b 2
  1. ( a + 8 b ) ( a − 3 b )
  2. ( a + 8 b ) ( a + 3 b )
  3. ( a − 8 b ) ( a − 3 b )
  4. ( a − 8 b ) ( a + 3 b )
For questions 4 – 5, factor using the trial and error method.
  1. 4 b 2 + 5 b + 1
  1. ( b + 1 ) ( 4 b + 1 )
  2. ( 5 b + 1 ) ( b + 1 )
  3. ( 5 b + 1 ) ( b − 1 )
  4. ( b − 1 ) ( 4 b − 1 )
  1. 30 x 2 − 53 x y − 21 y 2
  1. ( 3 x − y ) ( 10 x − 21 y )
  2. ( 5 x + y ) ( 6 x − 21 y )
  3. ( 15 x + y ) ( 2 x − 21 y )
  4. ( 3 x + y ) ( 10 x − 21 y )
  1. Factor completely using the “ a c ” method: 4 y 2 + 8 y + 3 .
  1. ( 2 y + 1 ) ( 2 y − 3 )
  2. ( 2 y − 1 ) ( 2 y + 3 )
  3. ( 2 y + 1 ) ( 2 y + 3 )
  4. ( 2 y − 1 ) ( 2 y − 3 )
  1. Factor completely using the “ a c ” method: 18 w 2 − 39 w + 18 .
  1. 3 ( 3 w + 2 ) ( 2 w − 3 )
  2. 3 ( 3 w + 2 ) ( 2 w + 3 )
  3. 3 ( 3 w − 2 ) ( 2 w − 3 )
  4. ( 9 w − 2 ) ( 2 w − 3 )
  1. Factor by substitution: h 4 + 4 h 2 − 12 .
  1. ( h 2 − 2 ) ( h 2 + 6 )
  2. ( h − 2 ) ( h + 6 )
  3. ( h + 2 ) ( h − 6 )
  4. ( h 2 + 2 ) ( h 2 − 6 )
  1. Factor by substitution: ( y − 4 ) 2 + 8 ( y − 4 ) + 15 .
  1. ( y − 5 ) ( y − 3 )
  2. ( y − 1 ) ( y + 1 )
  3. ( y + 5 ) ( y + 3 )
  4. ( y + 1 ) 2
  1. Factor using any method: 13 z 2 + 39 z − 26 .
  1. 13 ( z 2 + 3 z − 2 )
  2. 13 ( 2 z + 1 ) ( z − 2 )
  3. 13 ( 2 z − 1 ) ( z + 2 )
  4. 13 ( 2 z + 1 ) ( z + 2 )
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