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Algebra 1

8.7.5 Practice

Algebra 18.7.5 Practice
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8.7.5 • Practice

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

For questions 1 – 7, find the factored form of the quadratic expression.

  1. x 2 + 4 x − 12
  1. ( x − 2 ) ( x + 6 )
  2. ( x + 2 ) ( x − 6 )
  3. ( x + 3 ) ( x − 4 )
  4. ( x − 2 ) ( x − 6 )
  1. x 2 − 3 x − 18
  1. ( x − 7 ) ( x + 3 )
  2. ( x − 18 ) ( x + 1 )
  3. ( x − 6 ) ( x + 3 )
  4. ( x − 9 ) ( x + 2 )
  1. x 2 − 12 x − 45
  1. ( x − 15 ) ( x + 3 )
  2. ( x − 9 ) ( x + 5 )
  3. ( x − 8 ) ( x − 4 )
  4. ( x − 45 ) ( x + 1 )
  1. x 2 − x − 20
  1. ( x + 5 ) ( x − 4 )
  2. ( x − 20 ) ( x + 1 )
  3. ( x − 5 ) ( x + 4 )
  4. ( x − 10 ) ( x + 2 )
  1. x 2 + 2 x − 35
  1. ( x − 5 ) ( x − 7 )
  2. ( x + 5 ) ( x − 7 )
  3. ( x + 5 ) ( x + 7 )
  4. ( x − 5 ) ( x + 7 )
  1. x 2 − 23 x − 50
  1. ( x − 10 ) ( x − 13 )
  2. ( x − 25 ) ( x + 2 )
  3. ( x − 50 ) ( x + 1 )
  4. ( x − 10 ) ( x + 5 )
  1. x 2 + 7 x − 60
  1. ( x − 4 ) ( x + 15 )
  2. ( x − 10 ) ( x + 3 )
  3. ( x − 20 ) ( x + 3 )
  4. ( x − 5 ) ( x + 12 )
  1. Consider the expression x 2 + b x − 80 , where the leading coefficient equals 1. Identify all the pairs of factors of –80 that would result in positive values of b .
  1. 80 and − 1 , 40 and − 2 , 20 and − 4 , 16 and − 5 , 10 and − 8
  2. − 80 and − 1 , − 40 and − 2 , − 20 and − 4 , − 16 and − 5 , − 10 and − 8
  3. − 80 and 1 , − 40 and 2 , − 20 and 4 , − 16 and 5 , − 10 and 8
  4. 80 and 1 , 40 and 2 , 20 and 4 , 16 and 5 , 10 and 8
  1. Consider the expression x 2 + b x − 80 , where the leading coefficient equals 1. Identify all the pairs of factors of − 80 that would result in negative values of b .
  1. 80 and − 1 , 40 and − 2 , 20 and − 4 , 16 and − 5 , 10 and − 8
  2. − 80 and − 1 , − 40 and − 2 , − 20 and − 4 , − 16 and − 5 , − 10 and − 8
  3. − 80 and 1 , − 40 and 2 , − 20 and 4 , − 16 and 5 , − 10 and 8
  4. 80 and 1 , 40 and 2 , 20 and 4 , 16 and 5 , 10 and 8
  1. Here are pairs of equivalent expressions: one in standard form and the other in factored form. Identify the missing symbols:

    x 2 ◻ 15 x   ◻ 34 and ( x + 2 ) ( x − 17 )
  1. – and +
  2. + and +
  3. + and –
  4. – and –
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