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Algebra 1 Interactive Chalkboard
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3. Lesson 8-1 Multiplying Monomials
Contents

4. Example 1 Identify Monomials Example 2 Product of Powers
Example 3 Power of a Power
Example 4 Power of a Product
Example 5 Simplify Expressions
Lesson 1 Contents

5. Determine whether each expression is a monomial. Explain your reasoning.xy d. c. b. a.
Reason
Monomial?
Expression no
The expression involves subtraction, not the product, of two variables.
yes
The expression is the product of a number and two variables.
yes
is a real number and an example of a constant.
yes
The expression is the product of two variables.
Example 1-1a

6. Determine whether each expression is a monomial. Explain your reasoning.b. a.
Reason
Monomial?
Expression
yes
Single variables are monomials. no
The expression involves subtraction, not the product, of two variables. no
The expression is the quotient, not the product, of two variables.
yes
The expression is the product of a number, , and two variables.
Example 1-1b

7. Commutative and Associative Properties
Simplify .
Commutative and Associative Properties
Product of Powers
Simplify.
Answer:
Example 1-2a

8. Communicative and Associative Properties
Simplify .
Communicative and Associative Properties
Product of Powers
Simplify.
Answer:
Example 1-2b

9. Simplify each expression. a.b.
Answer:
Answer:
Example 1-2c

10. Simplify Power of a Power Simplify. Power of a Power Simplify. Answer:
Example 1-3a

11. Simplify
Answer:
Example 1-3b

12. Geometry Find the volume of a cube with a side length
Formula for volume of a cube
Power of a Product
Simplify.
Answer:
Example 1-4a

13. Express the surface area of the cube as a monomial.
Answer:
Example 1-4b

14. Simplify Power of a Power Power of a Product Power of a Power
Example 1-5a

15. Commutative Property
Answer:
Power of Powers
Example 1-5b

16. Simplify
Answer:
Example 1-5c

17. End of Lesson 1

18. End of Lesson 8

19. Explore online information about the information introduced in this chapter.
Click on the Connect button to launch your browser and go to the Algebra 1 Web site. At this site, you will find extra examples for each lesson in the Student Edition of your textbook. When you finish exploring, exit the browser program to return to this presentation. If you experience difficulty connecting to the Web site, manually launch your Web browser and go to
Algebra1.com

20. Click the mouse button or press the Space Bar to display the answers.
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21. Transparency 1a

22. End of Slide Show