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Math 169: Test for Chapter 1, sections 4-5


Place your answer in space provide to the left of each question.

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Change the following rational numbers to the form , where p and q are integers and is reduced to lowest terms.

____________________ 1.

____________________ 2.

____________________ 3.

____________________ 4.

Multiply: Simplify your answers:
____________________ 5.

____________________ 6.

____________________ 7.

Add: Simplify your answers:
____________________ 8.

____________________ 9.

____________________ 10.

Divide: Simplify your answers:
____________________ 11.

____________________ 12.

____________________ 13.

Subtract: Simplify your answers:
____________________ 14.

____________________ 15.

____________________ 16.

Answer each of the following:
____________________ 17. The following three numbers

make which statement below correct:
  1. x, y, and z are rational numbers
  2. x and y are rational, but z is irrational
  3. x and z are rational, but y is irrational
  4. y and z are rational, but x is irrational
  5. x, y and z are irrational

____________________ 18. The following three numbers

make which statement below correct:
  1. x, y, and z are rational numbers
  2. x and y are rational, but z is irrational
  3. x and z are rational, but y is irrational
  4. y and z are rational, but x is irrational
  5. x, y and z are irrational

____________________ 19. The following three numbers

make which statement below correct:
  1. x, y, and z are rational numbers
  2. x and y are rational, but z is irrational
  3. x and z are rational, but y is irrational
  4. y and z are rational, but x is irrational
  5. x, y and z are irrational

____________________ 20. The following three numbers

make which statement below correct:
  1. x, y, and z are rational numbers
  2. x and y are rational, but z is irrational
  3. x and z are rational, but y is irrational
  4. y and z are rational, but x is irrational
  5. x, y and z are irrational

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©Roger M. Palay
Saline, MI 48176
May, 1998