8
Margaret Buell Additional Options: Hide Multiple Choice Answers (Written Response) Open in Microsoft Word (add page breaks and/or edit questions) Copyright © 2010 Study Island - All rights reserved. Generation Date: 02/08/2010 Generated By: GCF & LCM of Monomials 1. Look at the three monomials below. 6xy 30x 3 y 6x 2 y 2 What is the greatest common factor (GCF) of the monomials shown above? A. 6x 2 y B. 2xy 2 C. 6x 3 y 2 D. 6xy 2. Look at the three monomials below. 9x 3 y 2 z 3 5x 4 yz 2 5x 3 z 2 What is the least common multiple (LCM) of the monomials shown above? A. 45x 4 y 2 z 3 B. x 3 yz 2 C. x 4 y 2 z 3 D. 45x 3 yz 2 3. Look at the two monomials below. 14x 4 y 2 z 10x 4 y 3 z 3 What is the greatest common factor (GCF) of the monomials shown above? A. 2x 4 y 3 z 3 B. 10x 4 y 2 z C. 2x 4 y 2 z http://www20.studyisland.com/printQG.cfm?lcfid=1&CFID=1... 1 of 8 2/8/10 7:43 AM

GCF & LCM of Monomials - MrsBuellsCPCollegeAlgebraand... · GCF & LCM of Monomials 1. Look at the three monomials below. ... Find the least common multiple (LCM) of the monomials

  • Upload
    letuyen

  • View
    220

  • Download
    6

Embed Size (px)

Citation preview

Page 1: GCF & LCM of Monomials - MrsBuellsCPCollegeAlgebraand... · GCF & LCM of Monomials 1. Look at the three monomials below. ... Find the least common multiple (LCM) of the monomials

Margaret Buell

Additional Options:Hide Multiple Choice Answers (Written Response)Open in Microsoft Word (add page breaks and/or edit questions)

Copyright © 2010 Study Island - All rights reserved.

Generation Date: 02/08/2010

Generated By:

GCF & LCM of Monomials1. Look at the three monomials below.

6xy 30x3y 6x2y2

What is the greatest common factor (GCF) of the monomials shown above?

A. 6x2y

B. 2xy2

C. 6x3y2

D. 6xy

2. Look at the three monomials below.

9x3y2z3 5x4yz2 5x3z2

What is the least common multiple (LCM) of the monomials shown above?

A. 45x4y2z3

B. x3yz2

C. x4y2z3

D. 45x3yz2

3. Look at the two monomials below.

14x4y2z 10x4y3z3

What is the greatest common factor (GCF) of the monomials shown above?

A. 2x4y3z3

B. 10x4y2z

C. 2x4y2z

http://www20.studyisland.com/printQG.cfm?lcfid=1&CFID=1...

1 of 8 2/8/10 7:43 AM

Page 2: GCF & LCM of Monomials - MrsBuellsCPCollegeAlgebraand... · GCF & LCM of Monomials 1. Look at the three monomials below. ... Find the least common multiple (LCM) of the monomials

D. 10x4y3z3

4. Look at the two monomials below.

36x2y4 20x3y2z3

What is the least common multiple (LCM) of the monomials shown above?

A. 4x3y4

B. 4x2y2

C. 180x2y2

D. 180x3y4z3

5. Look at the two monomials below.

12u2v2w2 20uv4w

What is the least common multiple (LCM) of the monomials shown above?

A. 60uv2w

B. 60u2v4w2

C. 4uv2w

D. 4u2v4w2

6. Look at the two monomials below.

9xy4z4 15x2y2

What is the greatest common factor (GCF) of the monomials shown above?

A. 3x2y4

B. 3xy2z4

C. 3xy2

D. 9xy2

http://www20.studyisland.com/printQG.cfm?lcfid=1&CFID=1...

2 of 8 2/8/10 7:43 AM

Page 3: GCF & LCM of Monomials - MrsBuellsCPCollegeAlgebraand... · GCF & LCM of Monomials 1. Look at the three monomials below. ... Find the least common multiple (LCM) of the monomials

7. Look at the two monomials below.

9xy4 15x3y2

What is the least common multiple (LCM) of the monomials shown above?

A. 45xy2

B. 3x3y4

C. 45x3y4

D. 3xy2

8. Look at the two monomials below.

9u3v4w 15u2v2w2

What is the greatest common factor (GCF) of the monomials shown above?

A. 9u2v2w

B. 9u3v4w2

C. 3u3v4w2

D. 3u2v2w

9. Look at the two monomials below.

26xy 10x2y2

What is the greatest common factor (GCF) of the monomials shown above?

A. 2xy

B. 2x2y2

C. 10x2y2

D. 10xy

10. Look at the two monomials below.

18x4yz3 30x2y2z4

What is the least common multiple (LCM) of the monomials shown above?

A. 6x2yz3

http://www20.studyisland.com/printQG.cfm?lcfid=1&CFID=1...

3 of 8 2/8/10 7:43 AM

Page 4: GCF & LCM of Monomials - MrsBuellsCPCollegeAlgebraand... · GCF & LCM of Monomials 1. Look at the three monomials below. ... Find the least common multiple (LCM) of the monomials

B. 90x2yz3

C. 90x4y2z4

D. 6x4y2z4

http://www20.studyisland.com/printQG.cfm?lcfid=1&CFID=1...

4 of 8 2/8/10 7:43 AM

Page 5: GCF & LCM of Monomials - MrsBuellsCPCollegeAlgebraand... · GCF & LCM of Monomials 1. Look at the three monomials below. ... Find the least common multiple (LCM) of the monomials

Answers1. D

2. A

3. C

4. D

5. B

6. C

7. C

8. D

9. A

10. C

http://www20.studyisland.com/printQG.cfm?lcfid=1&CFID=1...

5 of 8 2/8/10 7:43 AM

Page 6: GCF & LCM of Monomials - MrsBuellsCPCollegeAlgebraand... · GCF & LCM of Monomials 1. Look at the three monomials below. ... Find the least common multiple (LCM) of the monomials

Explanations

1. Find the greatest common factor (GCF) of the monomials by finding the GCF of the constantsand of each of the variables.

The GCF of 6, 30, and 6 is 6.

The GCF of x, x3, and x2 is x.

The GCF of y, y, and y2 is y.

Therefore, the GCF of the two monomials is 6xy.

2. Find the least common multiple (LCM) of the monomials by finding the LCM of the constantsand of each of the variables.

The LCM of 9, 5, and 5 is 45.

The LCM of x3, x4, and x3 is x4.

The LCM of y2, y, and is y2.

The LCM of z3, z2, and z2 is z3.

Therefore, the LCM of the three monomials is 45x4y2z3.

3. Find the greatest common factor (GCF) of the monomials by finding the GCF of the constantsand of each of the variables.

The GCF of 14 and 10 is 2.

The GCF of x4 and x4 is x4.

The GCF of y2 and y3 is y2.

The GCF of z and z3 is z.

Therefore, the GCF of the two monomials is 2x4y2z.

4. Find the least common multiple (LCM) of the monomials by finding the LCM of the constantsand of each of the variables.

The LCM of 36 and 20 is 180.

The LCM of x2 and x3 is x3.

The LCM of y4 and y2 is y4.

The LCM of z0 (z0 = 1) and z3 is z3.

Therefore, the LCM of the two monomials is 180x3y4z3.

http://www20.studyisland.com/printQG.cfm?lcfid=1&CFID=1...

6 of 8 2/8/10 7:43 AM

Page 7: GCF & LCM of Monomials - MrsBuellsCPCollegeAlgebraand... · GCF & LCM of Monomials 1. Look at the three monomials below. ... Find the least common multiple (LCM) of the monomials

5. Find the least common multiple (LCM) of the monomials by finding the LCM of the constantsand of each of the variables.

The LCM of 12 and 20 is 60.

The LCM of u2 and u is u2.

The LCM of v2 and v4 is v4.

The LCM of w2 and w is w2.

Therefore, the LCM of the two monomials is 60u2v4w2.

6. Find the greatest common factor (GCF) of the monomials by finding the GCF of the constantsand of each of the variables.

The GCF of 9 and 15 is 3.

The GCF of x and x2 is x.

The GCF of y4 and y2 is y2.

The GCF of z4 and z0 (z0 = 1) is z0 = 1.

Therefore, the GCF of the two monomials is 3xy2.

7. Find the least common multiple (LCM) of the monomials by finding the LCM of the constantsand of each of the variables.

The LCM of 9 and 15 is 45.

The LCM of x and x3 is x3.

The LCM of y4 and y2 is y4.

Therefore, the LCM of the two monomials is 45x3y4.

8. Find the greatest common factor (GCF) of the monomials by finding the GCF of the constantsand of each of the variables.

The GCF of 9 and 15 is 3.

The GCF of u3 and u2 is u2.

The GCF of v4 and v2 is v2.

The GCF of w and w2 is w.

Therefore, the GCF of the two monomials is 3u2v2w.

9. Find the greatest common factor (GCF) of the monomials by finding the GCF of the constantsand of each of the variables.

The GCF of 26 and 10 is 2.

The GCF of x and x2 is x.

http://www20.studyisland.com/printQG.cfm?lcfid=1&CFID=1...

7 of 8 2/8/10 7:43 AM

Page 8: GCF & LCM of Monomials - MrsBuellsCPCollegeAlgebraand... · GCF & LCM of Monomials 1. Look at the three monomials below. ... Find the least common multiple (LCM) of the monomials

The GCF of y and y2 is y.

Therefore, the GCF of the two monomials is 2xy.

10. Find the least common multiple (LCM) of the monomials by finding the LCM of the constantsand of each of the variables.

The LCM of 18 and 30 is 90.

The LCM of x4 and x2 is x4.

The LCM of y and y2 is y2.

The LCM of z3 and z4 is z4.

Therefore, the LCM of the two monomials is 90x4y2z4.

Copyright © 2010 Study Island - All rights reserved.

http://www20.studyisland.com/printQG.cfm?lcfid=1&CFID=1...

8 of 8 2/8/10 7:43 AM