Greatest common factor of monomials, and pulling it out
Grade 9 Math Worksheet - Building Confidence
Circle the best answer, or write your answer on the line.
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Factor strips
12x³y = 2 · 2 · 3 · x · x · x · y; 18x²y² = 2 · 3 · 3 · x · x · y · y.
Ari lines up the factor strips for 12x³y and 18x²y², like two trains side by side. Type powers like x^2. What is their greatest common factor (GCF)?
Factor strips
10x⁴y² = 2 · 5 · x · x · x · x · y · y; 15x²y³ = 3 · 5 · x · x · y · y · y.
Bo writes out the factor strips for 10x⁴y² and 15x²y³. Type powers like x^2. What is their greatest common factor (GCF)?
Factor strips
8xy³ = 2 · 2 · 2 · x · y · y · y; 20x²y² = 2 · 2 · 5 · x · x · y · y.
Esme compares the factor strips for 8xy³ and 20x²y². Type powers like x^2. What is their greatest common factor (GCF)?
Factor strips
9x³y⁴ = 3 · 3 · x · x · x · y · y · y · y; 21x⁵y = 3 · 7 · x · x · x · x · x · y.
Jun circles matching factors in the strips for 9x³y⁴ and 21x⁵y. Type powers like x^2. What is their greatest common factor (GCF)?
Kira draws 14x³y + 21x²y² as two pieces that share the side 7x²y. Type powers like y^2. What is the other side of the 21x²y² piece?
Luz draws 16x⁴y² − 24x³y³ as two pieces that share the side 8x³y². Type powers like y^2. What is the other side of the 16x⁴y² piece?
Milo draws 30x²y³ + 18xy as two pieces that share the side 6xy. Type powers like y^2. What is the other side of the 30x²y³ piece?
Pia needs the greatest common factor of 12x⁵, 18x⁴ and 30x² for a puzzle card. Which is it?
- 6
- 6x²
- 3x²
- 6x⁵
Tala checks a homework answer for the GCF of 18x⁶, 27x² and 45x⁴. Which is the GCF?
- 9
- 9x²
- 9x⁶
- 3x²
Zee looks for the side shared by 20x³, 30x⁵ and 50x⁴. Which is their greatest common factor?
- 10x³
- 5x³
- 10x⁵
- 10