Basic Mathematics for College Students

(Nandana) #1

  1. WATER STORAGE Over a week’s time, engineers
    at a city water reservoir released enough water to
    lower the water level 105 feet. On average, how much
    did the water level change each day during this
    period?

  2. THE STOCK MARKET On Monday, the value of
    Maria’s 255 shares of stock was at an all-time high.
    By Friday, the value had fallen $4,335. What was her
    per-share loss that week?

  3. CUTTING BUDGETS In a cost-cutting effort,
    a company decides to cut $5,840,000 from its
    annual budget. To do this, all of the company’s
    160 departments will have their budgets reduced
    by an equal amount. By how much will each
    department’s budget be reduced?


WRITING


  1. Explain why the quotient of two negative integers is
    positive.

  2. How do the rules for multiplying integers compare
    with the rules for dividing integers?

  3. Use a specific example to explain how multiplication
    can be used as a check for division.

  4. Explain what it means when we say that division by
    0 is undefined.

  5. Explain the division rules for integers that are shown
    below using symbols.

  6. Explain the difference between division of 0and
    division by 0.


REVIEW


  1. Evaluate:

  2. Find the prime factorization of 210.

  3. The statement
    illustrates what property?

  4. Is a true statement?

  5. Does?

  6. Sharif has scores of 55, 70, 80, and 75 on four
    mathematics tests. What is his mean (average)
    score?


8  2  2  8


17  17


(48) 10  4 (810)


52 a

2  32


6


b

2
7(2)




 














 












  1. CHEMISTRY During an experiment, a solution was
    steadily chilled and the times and temperatures were
    recorded, as shown in the illustration below. By how
    many degrees did the temperature of the solution
    change each minute?

  2. MARKDOWNS The owner of a clothing store
    decides to reduce the price on a line of jeans that are
    not selling. She feels she can afford to lose $300 of
    projected income on these pants. By how much can
    she mark down each of the 20 pairs of jeans?


182 Chapter 2 The Integers


Beginning of experiment
8:00 A.M.

End of experiment
8:06 A.M.


  1. OCEAN EXPLORATION The Mariana Trench is
    the deepest part of the world’s oceans. It is located
    in the North Pacific Ocean near the Philippines and
    has a maximum depth of 36,201 feet. If a remote-
    controlled vessel is sent to the bottom of the trench
    in a series of 11 equal descents, how far will the vessel
    descend on each dive? (Source: marianatrench.com)

  2. BASEBALL TRADES At the midway point of the
    season, a baseball team finds itself 12 games behind
    the league leader. Team management decides to trade
    for a talented hitter, in hopes of making up at least
    half of the deficit in the standings by the end of the
    year. Where in the league standings does management
    expect to finish at season’s end?

  3. BUDGET DEFICITS A politician proposed a two-
    year plan for cutting a county’s $20-million budget
    deficit, as shown. If this plan is put into effect, how
    will the deficit change in two years?


Plan Prediction
1st year Raise taxes, drop Will cut deficit in half
failing programs
2nd year Search out waste Will cut remaining
and fraud deficit in half
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