Chapter 11 Rational Expressions and Functions

Chapter 11 Get Ready!

• Lesson 1-5 Adding and Subtracting Fractions

  Find each sum or difference.

  1. 6 5 + 5 6 6 fifths , plus , 5 sixths
  2. 5 2 + 3 4 5 halves , plus , 3 fourths
  3. 7 24 − 9 10 7 twenty fourths , minus , 9 tenths
  4. 3 5 − 2 7 3 fifths , minus , 2 sevenths

• Lesson 7-5 Simplifying Expressions

  Simplify each expression.

  5. m 2 p − 3 q 4 m 2 p 2 q − 2 fraction m squared . p super negative 3 end super . q to the fourth , over m squared , p squared . q super negative 2 end super end fraction
  6. ( 3 a 2 ) 3 ( 2 b − 1 ) 2 ( 7 a 3 ) 2 ( 3 b 2 ) − 1 fraction open 3 , eh squared , close cubed . open 2 , b super negative 1 end super , close squared , over open 7 , eh cubed , close squared . open 3 , b squared , close super negative 1 end super end fraction
  7. ( 2 3 ) 4 ( 3 2 ) 2 fraction open , 2 thirds , close to the fourth , over open , 3 halves , close squared end fraction
  8. 8 x − 3 y 2 z 4 5 x 3 y z − 2 fraction 8 , x super negative 3 end super . y squared , z to the fourth , over 5 , x cubed , y , z super negative 2 end super end fraction

• Lesson 9-4 Factoring to Solve Quadratic Equations

  Solve each equation by factoring.

  9. x 2 − 2 x − 63 = 0 x squared , minus 2 x minus 63 equals 0
  10. 12 y 2 − y = 35 12 , y squared , minus y equals 35
  11. z 2 + 26 z + 169 = 0 z squared , plus 26 z plus 169 equals 0
  12. w 2 − 3 w = 0 w squared , minus 3 w equals 0
  13. 11 p + 20 = 3 p 2 11 p plus 20 equals 3 , p squared
  14. 6 r 2 + 20 = − 34 r 6 , r squared , plus 20 equals negative 34 r
  15. 3 m 2 + 33 m + 30 = 0 3 , m squared , plus 33 m plus 30 equals 0
  16. 5 d 2 − 20 d = 105 5 , d squared , minus 20 d equals 105
  17. 6 g 2 − 7 g = 5 6 , g squared , minus 7 g equals 5

• Lesson 10-4 Solving Radical Equations

  Solve each equation. If there is no solution, write no solution .

  18. x + 1 = x − 2 square root of x plus 1 end root , equals , square root of x minus 2 end root
  19. 2 b = b + 3 2 b equals , square root of b plus 3 end root
  20. x + 2 = x square root of x plus 2 equals x

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