SOME NOTES TO HELP YOU DO THIS WORKSHEET:
Slope is 
which is 
32,000,000 is 3.2x107
.000 000 004 32 is 4.32x10-9
In 
:
y is the final population,
a is the initial population,
b = 1 + r where r is the rate as a decimal
and x is the time in years.
SIMMS 3 Module 4 Log Jam NAME:
Pre-Assessment
Find the equation of a line;
Simplify exponential expressions; Negative exponents; Scientific notation;
Determine the inverse of a relation; Exponential growth
SOME NOTES TO HELP YOU DO THIS WORKSHEET:
Slope is which is
32,000,000 is 3.2x107
.000 000 004 32 is 4.32x10-9
In :
y is the final population,
a is the initial population,
b = 1 + r where r is the rate as a decimal
and x is the time in years.
Find the equations of the following lines in slope-intercept form (y = mx+b):
1) m = 
, passing through (4, 3)
2) (3, 6) & (3, 15)
3) slope of 
, passing through (6, -3)
Simplify the following exponential expressions:
4) c3 * c5
5) a4b2 * a5b3
6) (c3)5
7) (a4b2)3
8) 3c3 * 2c5
5) 4a4b2 * 8a5b3
6) (2c3)5
7) (2a4b2 * b3)3
Simplify the following exponential expressions so that there are NO negative exponents in the final answer:
8) c-3 * c5
9) a-4b-2 * a5b3
10) (a4b-2)5
11) 3c-3 * 2c5
12) 
13) 
14) 
15) 
16) 
17) 
Write the following in Scientific Notation:
18) 34,000,000
19) 0.000 000 032
20) 2.3 x 105 x 9.5 x 107
21) 8.4 x 1012 ÷ 2 x 104
Determine the inverse of the following relations:
22) y = 2x – 4
23) 2y = 3x + 5
24) {(2, 3), (4, 6), (-3, 0)}
Exponential Growth:
25) Find the value of x in each of the following equations.
a. 
b. 
c. 
26) The equation 
models the annual
growth in a population. In this model, describe what is represented by each of
the following:
a. y
b. 5
c. 2
d. x
27) a. Write
an equation in the form to model a population
that has a growth rate of 17% and an initial population of 45.
b. Determine the population after 20 time periods.
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