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).
  ```
explanation: The document is a practice exam for Chapter 5 of a math course, specifically MATH 115. It contains multiple math questions covering topics such as simplifying expressions, performing operations with rational expressions, solving equations, and word problems. There are no provided answers to these questions.
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  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: # 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).
  ```
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document is a practice exam for Chapter 5 of a math course, specifically MATH 115. It contains multiple math questions covering topics such as simplifying expressions, performing operations with rational expressions, solving equations, and word problems. There are no provided answers to these questions.
  
  Label: multiple-question