Name:
Sample Work for Algebra 1B: Submit in the Sample Work Drop Box in Lesson 8!
Please fill in all blanks; answer every question and SHOW your work for the 2 problems listed.
Unit 1: Exponents and Exponential Functions
Lesson 1: Zero and Negative Exponents Objective: Can you simplify expressions involving zero and negative exponents?
1. Property of negative exponent:__ Negative exponents indicate reciprocation, with the exponent of the
reciprocal becoming positive. You may want to think of it this way: unhappy (negative) exponents will
become happy (positive) by having the base/exponent pair “switch floors”!
____________________________________
2. Property of zero exponent:___ Any number raised to the zero power is equal to
“1”._______________________________________
Practice work: Read pp. 414-417
 Complete p. 417, 9-35 odd in your notebook.
3. Show work here for #17
 Complete p. 418, 37-61 odd in your notebook.
4. Show work here for #43
Portfolio for Unit 1 Lesson Modification: Check message board! Submit in lesson 8.
Lesson 2: Scientific Notation Objective: Can you write numbers in scientific and standard notation? Can you compare
and order numbers using standard notation?
5. In your own words, describe scientific notation:
scientific notation is a way to put really big numbers in to smaller forms that way you van right it in a
decimal form
6. Why is it important to understand how to write numbers in scientific notation?
Some numbers are so huge that you have to put it in a smaller form but you dont know how. Thats
why we are taught to put numbers that are to big in scientific notation that way we dont have to
write the who entire number that is really big and me sarcastically take forever to write
Practice work: Read pp. 420-423
 Complete p. 424, 11-34 and 40-47 in your notebook.
7. Show the work here for #17
 Complete p. 425, 48-51 in your notebook.
8. Show the work here for #48
Lesson 3: Multiplying Powers with the same base
Objective: Can you multiply powers with the same base?
9. Explain what you do when you multiply powers with the same base:
you add the powers and the bases together
Practice work: Read pp. 426-428
 Complete p. 429, 9-35 odd in your notebook.
10. Show your work here for #25
 Complete p. 430, 47-57 odd in your notebook.
11. Show your work here for #49
Challenge: Complete this correctly to get extra points on a quiz! (Extra Credit 1.3)
a.__?____________________________________
Show your work in this space:
b.___?___________________________________
c.____?___________________________________
Lesson 4: More Multiplication Properties of Exponents (You have 2 days to complete this lesson) Objective: Can you
raise and power to a power and raise a product to a power?
12. Explain what you do when you raise a power to a power?
You multiply the exponents
Practice work: Read pp. 433-436
 Complete p. 436, 10-21 (all) in your notebook.
13. Show your work here for #19
½^0= ½
 Complete p. 437, 23-69 odd in your notebook.
14. Show your work here for #37
4j^2k^6(2j^11)^3k^5=?
Lesson 5: Introduction to Division Properties of Exponents Objective: Can you divide powers with the same base and
raise a quotient to a power?
15. Explain what you do when you divide powers with the same base.
16. Explain how you raise a quotient to a power.
Practice work: Read pp. 440-443
 Complete p. 443, 8-23 all in your notebook.
17. Show your work here for #21
 Complete p. 444, 25-59 odd in your notebook.
18. Show your work here for #43
Challenge: Complete this correctly to get extra points on a quiz! (Extra Credit 1.5)
a.________________________________________
Show your work in this space:
b.________________________________________
c._________________________________________
Lesson 6: Exponential Functions Objective: Can you evaluate and graph exponential functions?
19. What is the basic form of an exponential function?_______________________________
Practice work: Read pp. 447-449
 Complete p. 450, 8-27 all in your notebook.
20. Show your work here for #25
 Complete p. 451, 28-46 all in your notebook.
21. Show your work here for #49
Lesson 7: Exponential Growth and Decay
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Objective: Can you model exponential growth and decay?
Exponential growth is_______________________________________________________
A growth factor is___________________________________________________________
Compound interest is________________________________________________________
Exponential decay is_________________________________________________________
A decay factor is____________________________________________________________
Practice work: Read pp. 455-458
 Complete p. 459, 9-31 odd in your notebook.
27. Show your work here for #17
 Complete p. 460, 32-42 (all) in your notebook.
28. Show your work here for #41 – (half-life means the decay factor is .5 for every 8 days)
Portfolio for Unit 1 Lesson Modification: Check message board! Submit in lesson 8 in the
drop box