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Algebra 1

6.4.6 Practice

Algebra 16.4.6 Practice
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6.4.6 • Practice

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

For questions 1 – 3, find the GCF of each set of expressions.

  1. 12 m 2 n 3 , 30 m 5 n 3
  1. 6 m 2 n 3
  2. 2 m 5 n 3
  3. 3 m 2 n 3
  4. 6 m 3 n 3
  1. 28 x 2 y 4 , 42 x 4 y 4
  1. 27 p 2 q 3 , 45 p 3 q 4 , 9 p 4 q 3
  1. 9 p 3 q 3
  2. 9 p 2 q 3
  3. 27 p 2 q 3
  4. 9 p q 3
For questions 4 – 6, factor the expression.
  1. 15 x 3 y − 3 x 2 y 2 + 6 x y 3
  1. − 7 a 3 + 21 a 2 − 14 a
  1. − 7 a ( a 2 − 3 a + 2 )
  2. − 7 a 2 ( a − 1 )
  3. 7 a ( a 2 − 3 a + 2 )
  4. − 7 ( a 2 − 3 a + 2 )
  1. 8 n ( n − 4 ) + 5 ( n − 4 )
  1. ( 8 n − 4 ) ( n + 5 )
  2. ( n − 4 ) ( 8 n + 5 )
  3. ( n − 4 ) ( 8 n − 5 )
  4. ( n + 4 ) ( 8 n + 5 )
For questions 7–10, factor by grouping
  1. u 2 − u + 6 u − 6
  1. ( u − 1 ) ( u + 6 )
  2. ( u + 1 ) ( u − 6 )
  3. ( u − 1 ) ( u − 6 )
  4. ( u + 1 ) ( u + 6 )
  1. 16 q 2 + 20 q − 28 q − 35
  1. ( 4 q − 5 ) ( 4 q − 7 )
  2. ( 4 q + 5 ) ( 4 q − 7 )
  3. ( 4 q − 5 ) ( 4 q + 7 )
  4. ( 4 q + 5 ) ( 4 q + 7 )
  1. r 2 − 3 r − r + 3
  1. ( r + 3 ) ( r − 1 )
  2. ( r − 3 ) ( r + 1 )
  3. ( r + 3 ) ( r + 1 )
  4. ( r − 3 ) ( r − 1 )
  1. 6 y 2 + 7 y + 24 y + 28
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