Basic Mathematics for College Students

(Nandana) #1

  1. for , and

  2. for , and

  3. for , and

  4. for and

  5. for and

  6. VEHICLE WEIGHTS A Hummer H2 weighs
    340 pounds less than twice a Honda Element.
    a. Let represent the weight of one of the vehicles.
    Write an expression for the weight of the other
    vehicle.


b. If the weight of the Element is 3,370 pounds, what
is the weight of the Hummer?


  1. SOD FARMS The expression gives the
    number of square feet of sod that are left in a field
    after strips have been removed. Suppose a city
    orders 7,000 strips of sod. Evaluate the expression
    and explain the result.

  2. COMPUTER COMPANIES IBM was founded
    80 years before Apple Computer. Dell Computer
    Corporation was founded 9 years after Apple.
    a. Let represent the age (in years) of one of the
    companies. Write expressions to represent the
    ages (in years) of the other two companies.


b. On April 1, 2008, Apple Computer Company was
32 years old. How old were the other two computer
companies then?

x

Strips of sod, cut and
ready to be loaded on
a truck for delivery

s

20,000 3 s

x

APPLICATIONS


a^14 b 10

b^2  16 a^2  1
2

(27c^2  4 d^2 )^3 c 31 d 21

a5, r 2 n 3

a(1rn)
1 r

d6.6

n10, a4.2
n
2

[2a(n1)d]

x2, y1, a 5 b 2

ax
yb


  1. THRILL RIDES The distance in feet that an object
    will fall in seconds is given by the expression.
    Find the distance that riders on “Drop Zone” will
    fall during the times listed in the table.

  2. What is a variable? Give an example of how
    variables are used.

  3. What is an algebraic expression? Give some
    examples.

  4. Explain why 2 less than xdoes not translate to.

  5. In this section, we substituted a number for a
    variable. List some other uses of the word substitute
    that you encounter in everyday life.

  6. Find the LCD for and.

  7. Simplify:

  8. Evaluate:

  9. Find the result when is multiplied by its
    reciprocal.


7


8


a

2


3


b

3

3  3  5


3  5  5  11


1


15


5


12


REVIEW


2 x

WRITING


©Joel Rogers, http://www.coastergallery.com

t 16 t^2

8.1 The Language of Algebra 647

Time Distance
(seconds) (feet)
1
2
3
4
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