Chapter 8 Rational Functions

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• Lesson 2-2 Using Direct Variation

  For each direct variation, find the constant of variation. Then find the value of y when x = − 3 . x equals negative 3 .

  1. y = 4 y equals 4  when x = 3 x equals 3
  2. y = 1 y equals 1  when x = − 1.5 x equals negative 1.5
  3. y = − 5 y equals negative 5  when x = 3 2 x equals , 3 halves
  4. y = − 16 y equals negative 16  when x = 7 x equals 7

• Lesson 4-4 Factoring Quadratic Expressions

  Factor each expression.

  5. x 2 + x − 6 x squared , plus x minus 6
  6. 4 x 2 + 17 x + 15 4 x squared , plus 17 x plus 15
  7. 9 x 2 − 25 9 x squared , minus 25
  8. x 2 − 12 x + 36 x squared , minus 12 x plus 36
  9. 3 x 2 + 10 x + 8 3 x squared , plus 10 x plus 8
  10. x 2 − 5 x + 6 x squared , minus 5 x plus 6

• Lesson 4-5 Solving Quadratic Equations

  Solve each equation.

  11. x 2 + 7 x − 8 = 0 x squared , plus 7 x minus 8 equals 0
  12. 1 4 x 2 + 7 2 x = − 12 1 fourth , x squared , plus , 7 halves , x equals negative 12
  13. 3 x 2 = 18 x − 24 3 x squared , equals 18 x minus 24
  14. 9 x 2 + 6 x = 0 9 x squared , plus 6 x equals 0
  15. 4 x 2 + 16 = 34 x 4 x squared , plus 16 equals 34 x
  16. x 2 − 13 x − 30 = 0 x squared , minus 13 x minus 30 equals 0

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