The Algebra Teacher\'s Guide to Reteaching Essential Concepts and Skills

Name Date

WORKSHEET 5.5: MULTIPLYING MONOMIALS

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Use the property of exponents for multiplication,xm·xn=xm+n, to multiply two or more

monomials. Follow the guidelines below:

• Add the exponents if the bases are same.


• Multiply the numerical coefficients.

EXAMPLES

(2x^3 )(4x^7 )= 8 x^10

(− 3 a^5 )(6a)=− 18 a^6

(4a^2 b^6 )(9a^3 b^10 )= 36 a^5 b^16

DIRECTIONS: Find the product.

1. (y^2 )(y^4 ) 2. (7a^3 )(2a^8 )


2. (− 2 a^5 )(9a) 4. (7ab)(3a^2 b^2 )


3. (8a^3 b^2 )(− 2 a^5 b) 6. (−xy^3 )(− 3 xy)(8xy)


4. (3b^4 )(7ab)(6a^2 b) 8. (5a^2 b^3 )(− 3 a^2 b)(8ab)

CHALLENGE:Margo said that (2x^2 )(2x^2 )= 4 x^4. She said that she added the

coefficients and added the exponents. Do you agree with her answer and

her reasoning? Explain.

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2011 by Judith A. Muschla, Gary Robert Muschla, and Erin Muschla. All rights reserved.