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Algebra 1

8.7.5 Practice

Algebra 18.7.5 Practice
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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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