Identify the sequence
Find the missing terms
Simply
exponents
exponents
Exponential
growth/decay
growth/decay
Linear vs.
Exponential
Exponential
100
Identify the type of sequence shown below
-2, 4, -8, 16,...
Geometric
100
Find the missing term in the sequence below
1/2, 1, 3/2, x, 5/2, ...
x = 2
100
Simplify the expression below using the laws of exponents
(3x^6)/(9x^2)
1/3x^4
100
What is the percent of growth in the function
g(x)=56(1.027)^x
2.7%
100
Does the table below represent a linear or exponential function? WHY?
Exponential, not a constant change
200
Identify the common difference in the sequence below
3, -2, -7, -12, ...
d = -5
200
Find the missing term of the sequence below
-9,3,-1, x, -1/9
x=1/3
200
Simplify the expression below
(2^(4x+5))(2^(2x-8))
2^(6x-3)
200
What is the percent decay on the function below
p(x)=41(0.78)^x
22%
200
Write a linear equation that passes through the points (0,5) and (8, 30).
y=25/8x+5
300
Identify the common rate in the sequence below
2, 1/2, 1/8, 1/32, ...
r=1/4
300
Evaluate the function below for f(-3)
f(x)=8(1/2)^x
f(-3) = 64
300
Simplify the expression below
((5x^4)(4x))/(2x^7)
10x^-2 or10/x^2
300
An objects speed can be modeled using the equation below. Given an interpretation of the parameters of the equation in terms of the context of the question.
S(t)=34(1.09)^t
34 is the initial speed, and the 1.09 represents the 9% increase in the speed each second.
300
Write the exponential function that passes through the points (0, 5) and (4, 405).
y=5(3)^x
400
Given the sequence below find the 9 term
5, -2, -9, ...
-51
400
For which value of x would the equation below be true? (Look at a table)
1944=8(3)^x
x = 5
400
Simplify the expression to a single base of 3
400
Anna deposits money into a savings account that earned 3.5% interest. Her initial deposit $450. Write an exponential equation to represent Anna's account A(t).
A(t)=450(1.035)^t
400
Write the exponential equation given the table below
y=1215(2/3)^x
500
Given the sequence below find the 11th term
3, 12, 48,...
3,145,728
500
For which value of b would the equation be true?
12288=12b^5
b = 4
500
Simplify the expression with a base of 7
7^(x-10)
500
Peyton and Anna both open an savings account. Peyton's account can be models with the function P(t) and Anna's account can be modeled with the function A(t), where t is the number of years. Who would have more savings after 7 years?
P(t)=225(1.045)^t
A(t)=175(1.085)^t
P(7)=306.19 and A(7)=309.77
Anna
500
Write the equation of the exponential function represented in the graph, to the nearest 100th.
y=405(1.14)^x