Which of the following best exemplifies the use of reformulation to do computational estimation?
a. Estimating the answer to 99 times 103 by rounding both numbers to 100 and then squaring 100.
b. Given the task of simplifying 3x + 2 - 5x, grouping the like terms together first and then obtaining -2x + 2
c. Using the conventional long division algorithm to find the quotient 72/33
d. Using conventional algorithms when asked to do mental computation
Ans: a
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Perform the indicated operation without the use of a calculator and express each answer in decimal notation.
A. 29,400,000,000,000 B. 600,000 C. 29,400,000 D. 600,000,000,000
Find a4 for the sequence described.Geometric, with a5 = 81 and a7 = 1
A. 
or - 
B. 9 or - 9
C. 729 or - 729
D. 81 or - 81
Tank A contains 250 lbs of salt dissolved in 1000 gal of water. Tank B contains 300 lbs of salt dissolved in 1000 gal of water. The mixture from tank A is pumped to tank B at the rate of 400 gal per hr, while the mixture from tank B is pumped to tank A at the same rate. Assume that the mixture in each tank is uniform by stirring. Let A(t ) and B(t ) be the amount of salt in tanks A and B after t hours, respectively.
(a) Draw a two-compartment model for A(t ) and B(t ) . (b) Use the initial conditions A(0) = 250 and B(0) = 300 to solve for A and B. (c) What are the equilibrium values of A and B?
Provide an appropriate response. Divide using synthetic division: (-6x3 - 30x2 - 30x - 24) ÷ (x + 4).
A. - 
x2 - 
x - 
B. -6x2 - 6x - 6
C. -6x + 6
D. 6x2 - 4x - 6