Name ______________________________________________________ Class _____ Date ________________________
Unit 3
Investigations 1 and 2
Quiz Study Guide
I can recognize and express exponential patterns in equations, tables, and graphs.
Investigation 1:
1. What are the two components of exponential notation? Draw and label a diagram of
each.
2. Define exponential notation:
3. Give an example of exponential notation:
4. Define expanded form:
5. Give an example of expanded form:
6. Define standard notation:
7. Give an example of standard notation:
8. Complete the following chart:
Exponential Notation
Expanded Form
Standard Notation
100
63 84
55533
9. Evaluate the following expressions:
a) (-3)2
b) -52
10. Define scientific notation:
11. Rewrite the following in scientific notation:
a) 0.0000729
b) 583,248,000
12. Rewrite in standard notation:
a) 5.4 x 106
b) 4.91 x 10-4
13. Which of the following represents exponential growth? (Circle all that apply)
x
y
x
y
x
y
0
1
2
1
2
4
0
1
2
1
3
6
0
1
2
1
3
9
14. How can you look at a table and know if it shows exponential growth?
15. How can you look at a graph and know if it shows exponential growth?
Investigation 2:
16. What is the general format for an exponential equation?
17. What does the “a” in the equation represent?
18. What does the “b” in the equation represent?
19. Analyze the graph below and answer the following questions:
a) What is the initial population?
b) What is the growth factor?
c) What is the equation for the graph above?
80
70
60
50
40
30
20
10
0
d) When will the population reach 60?
e) What information does the point (3,40) on the graph tell you?
**Remember to look over ALL concept checks and notes to prepare for your
quiz!**