Grade 9 · Math · Algebra 1

9th grade Greatest common factor of monomials, and pulling it out worksheet

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Greatest common factor of monomials, and pulling it out

Grade 9 Math Worksheet

NameDate

Circle the best answer, or write your answer on the line.

Ari has three tiles with areas 24x⁴y², 36x³y³ and 60x²y⁵. Type powers like x^2. What is their greatest common factor?
Bo finds the side shared by the pieces 18x³y⁵, 30x⁴y² and 42x⁵y³. Type powers like x^2. What is their greatest common factor?
Esme is stuck on a card that lists 20xy⁴, 32x³y² and 44x²y³. Type powers like x^2. What is their greatest common factor?
Jun lines up pieces with areas 45x⁶y³, 75x⁴y⁴ and 90x⁵y². Type powers like x^2. What is their greatest common factor?
Luz factors 12x⁴y + 8x³y² + 4x²y by pulling out the greatest common factor. Type powers like x^2. What is it written as the GCF times a bracket?
Milo factors 18x²y³ − 27xy² + 9xy by pulling out the greatest common factor. Type powers like x^2. What is it written as the GCF times a bracket?
Pia wants the least common multiple (LCM) of 6x²y and 8xy³. Type powers like x^2. What is the LCM?
Ren needs the smallest monomial that both 4x³y² and 10x²y⁵ divide into. Type powers like x^2. What is their LCM?
Tala finds the least common multiple (LCM) of 9xy⁴ and 12x³y for a puzzle. Type powers like x^2. What is it?
Zee checks a classmate's LCM of 15x⁴y and 25x²y³. Type powers like x^2. What is the LCM?

Greatest common factor of monomials, and pulling it out. Every version has 10 questions, and the answer key prints on the second page.

I can find the greatest common factor of monomials with numbers, letters and powers.
I can pull the GCF out of a polynomial and check it by multiplying back.
I can find the least common multiple of two monomials.

Standard: A-SSE.A.2 (supports)

monomial: One term: a number times letters, like 12x³y.

greatest common factor (GCF): The biggest monomial that divides every term.

pull out (factor out): Write a polynomial as the GCF times a bracket.

least common multiple (LCM): The smallest monomial that every term divides into.

Your child took the higher power of each letter, which makes a common multiple, not the greatest common factor.

Your child found the greatest common number but left out the letters every term shares.

Your child took out the number and one letter but missed another letter that every term has.

Ask: which power of x does every term have?

Ask: is there an x in every term too?

Ask: is that letter in every term?

What is the most common mistake with greatest common factor of monomials, and pulling it out?

Your child took the higher power of each letter, which makes a common multiple, not the greatest common factor.

How can I help my child with greatest common factor of monomials, and pulling it out?

Ask: which power of x does every term have?

Are these 9th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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