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Math 169 (Fifth Edition): Test for Chapter 7


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7.1 Introduction to Radicals and Simplest Radical Form

Simplify each of the following. Assume that all variables in the radicand represent non-negative numbers.
____________________ 1.

____________________ 2.

____________________ 3.

____________________ 4.

____________________ 5.

____________________ 6.

____________________ 7.

7.2 Operations on Irrational Numbers

Simplify each of the following. (addition and subtraction)
____________________ 8.

____________________ 9.

Simplify each of the following. (multiplication)
____________________ 10.

____________________ 11.

____________________ 12.

____________________ 13.

Simplify the following. (Division)
____________________ 14.

____________________ 15.

Solve the following equation:
____________________ 16.

7.3 Integer Exponents
Simplify each of the following.
____________________ 17.

____________________ 18.

____________________ 19.

____________________ 20.

Convert the following to scientific notation:
____________________ 21.

____________________ 22.

____________________ 23.

Convert the following to standard (decimal) notation:
____________________ 24.

 
____________________ 25.

7.4 Rational Exponents
Change each of the following to the most simple radical form:
____________________ 26.

 
____________________ 27.

 
____________________ 28.

 
____________________ 29.

Change the following to the most simple fractional exponent form:
____________________ 30.

____________________ 31.

Find the value of each of the following:
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____________________ 33.

____________________ 34.

7.5 Complex Numbers
____________________ 35.

Simplify each of the following:
____________________ 36.

____________________ 37.

____________________ 38.

____________________ 39.

Addition and subtraction (change each of the following to the form a + bi ):
____________________ 40.

____________________ 41.

____________________ 42.

Multiplication (change each of the following to the form a + bi ):
____________________ 43.

____________________ 44.

____________________ 45.

____________________ 46.

Division (change each of the following to the form a + bi ):
____________________ 47.

____________________ 48.

____________________ 49.

____________________ 50.

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©Roger M. Palay
Saline, MI 48176
November, 1999