Simplifying
Rewriting, Simplifying and Graphing
Exponential Growth, Decay, and Compound Interest
Arithmetic and Geometric Sequences
Solving Equations
100
Simplify (x5)4.
x20
100
Write 53/2 using a radical sign.
or 
100
How do you know if your graph is an exponential growth or decay?
Exponential growth: b > 0
Exponential decay: 0< b< 0
100
Determine whether the sequence 32, 16, 8, 4, ... is arithmetic, geometric, or neither. Explain.
geometric; common ratio is 1/2.
100
Solve 5x = 125
x = 3
200
615/69
66 or 46,656
200
Simplify 
3
200
What is the formula calculating exponential growth? What is the formula for calculating exponential decay?
Growth: y = a(1 + r)t
Decay: y = a(1 - r)t
200
Find the next three terms of the geometric sequence -3, -12, -48, ... .
-192, -768, -3072
200
Solve 5x - 2 = 125
x = 5
300
(-4t2n3)(3tn4)
-12t3n7
300
2(7xy)1/2
300
What is the formula for calculating compound interest?
A = P(1 + r/n)nt
300
What are the formulas to find the given?
Geometric Sequence
Arithmetic Recursive Sequence
Geometric Recursive Sequence
Geometric Sequence: an=a1rn-1
Arithmetic Recursive: an = an-1+ d
Geometric Recursive: an = an-1(r)
300
Solve 6x + 1 = 1296
x =3
400
(2cd)2(-4c3)2
64c8d2
400
Find the y - intercept, domain, and range of the given function.
y - intercept: 1
Domain: all real numbers
Range: y > 0 or all real numbers > 0
400
The population of Camden, New Jersey, has been decreasing by 0.12% a year on average. IF this trend continues, and the population was 79,318 in 2006, estimate Camden's population in 2015.
78,465
400
What is the recursive formula for the given sequence
3, 20, 37, 54, ...?
a1 = 3, an = an-1 + 17
400
Solve 25x - 4 = 64
x = 2
500
(r6n-7)/(r4n2)
r2/n9
500
Find the y - intercept, domain and range of the given function.
4(2)x - 1
y - intercept: 3
Domain: all real numbers
Range: all real numbers > -1 or y > -1
500
Robin invests $1500 at 4.85% compounded quarterly. How much money will Robin have in 12 years?
$2,675.04
500
What is the geometric recursive formula for
125, -25, 5, -1/5, ...?
a1 = 125; an = -1/5an - 1
500
Solve 23x + 10 = 128
x = -1