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MATH 1630 Quiz 1 Solutions - Spring 2009, Quizzes of Mathematics

Solutions to quiz 1 for math 1630 - internet course in spring 2009. It includes the steps to solve various mathematical problems such as equations, inequalities, and function definitions. Students can use this document as a study resource to understand the concepts and techniques required to solve similar problems.

Typology: Quizzes

Pre 2010

Uploaded on 08/18/2009

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koofers-user-1da 🇺🇸

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MATH 1630 – Internet
Spring 2009 Quiz 1 Name:
1. (5 points) Solve the following equation:
(
)
33 4
83
xx
=
+
2. (5 points) Solve the following equation:
()
216
3
424
x
xx
+=
pf3
pf4
pf5

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MATH 1630 – Internet

Spring 2009 Quiz 1 Name:

  1. (5 points) Solve the following equation:

x − (^) x = +

  1. (5 points) Solve the following equation:

x

x x

  1. (5 points) Solve the following equation for y in terms of x:

x y − =

  1. (6 points) Solve the following inequality and graph the solution on a number line.

x x − > +

7. (3 points) Determine the domain of the function ( )

f x x

8. (3 points each) Given ( )

3 2

f x = x − x + 2 and g ( x ) = 2 x − 4

a. f ( − 2 )

b. f ( g ( ) 3 )

c. g ( g ( x ))

d. ( f − g )( x )

  1. (4 points) If

2 y = 4 x , explain whether y is a function of x.

  1. (4 points) Determine the equation of the line passing through the points (-2, -3) and (3, 7)
    1. (4 points) Demonstrate whether or not the lines 4 x + 7 y = 8 and 7 x + 4 y = 8 are perpendicular.
    2. (5 points) Determine the equation of the line through the point (-15, 4) that is parallel to 5 x + 3 y = − 2.