text: # Practice Exam for Chapter 5
  
  ```MATH 115 Practice Test #3 (Chapter 5)
  1. Simplify:
  24 x 3 y 7
  a.
  8 xy 4
  c.
  2n 2  8n
  4n
  e.
  x 2  36
  6 x
  b.
  2 x  12
  x  x  30
  d.
  n 2  11n  18
  n 2  9n  22
  2
  2. Perform the operation and write in simplest form:
  y2 −4y
  y3
  ( x  1) 2 x 2  4
  a.
  ∙
  b.
  
  y4
  y2 −3y−4
  ( x  2) 2 x 2  1
  c.
  x2  4x
  x3  7x2
  
  x 2  x  20 x 2  13x  40
  5 x  15 x 2  x  12
  
  d.
  3x  6 x 2  7 x  10
  3. Subtract:
  5
  2
  a.
  –
  2
  x  17 x
  9x
  4. Solve:
  x
  3
  3
   
  a.
  x 3 2 x 3
  5. Simplify the complex fractions:
  2 3
  
  x y
  a.
  5 2
  
  x y
  9
  x
  c.
  81
  1  2
  x
  b.
  x 2  15 x 54
  
  x 9
  9 x
  b.
  x 1
  3
  12
    2
  x3
  x x  3x
  b.
  1 
  d.
  1
  y
   2
  2x 2x
  1 y
  
  4 4x
  3
  4
  
  2
  2x
  x
  5
  7
   2
  3x
  x
  c.
  c.
  2
  5
   2
  x  x  6 x  5x  6
  2
  3
  7
  
  x7 x5
  6. It takes you 30 hours to build a website. Your friend can build the same website in 20 hours.
  Working together, how long will it take the team to build a website?
  7. Rob can run 27 mi in the same time it takes Mike to run 15 mi. If Rob runs 4 mi/h faster
  than Mike, find Mike’s speed.
  8. The tax on a property with an assessed value of \$130,000 is \$1,440. Find the tax on a
  property with an assessed value of \$250,000 (round to the nearest cent).
  ```