Multiply a monomial by an expression, and pull out a common factor

Answer Key - Grade 8 Math Worksheet - Building Confidence

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

1. 1.

   Ari spreads x(x + 4): x × x and x × 4. How would Ari write x(x + 4) with no brackets?

   x^2 + 4x
2. 2.

   Esme spreads x(2x − 5): x × 2x and x × (−5). How would Esme write it with no brackets?

   2x^2 - 5x
3. 3.

   Jun spreads 2x(3x + 1): 2x × 3x and 2x × 1. How would Jun write it with no brackets?

   6x^2 + 2x
4. 4.

   Kira wants the greatest common factor of 6x² and 9x. Which is it?

   • 18x²
   • 3x
   • x
   • 3
5. 5.

   Luz wants the greatest common factor of 4x² and 10x. Which is it?

   • 4x²
   • 2x
   • x
   • 10x
6. 6.

   Milo wants the greatest common factor of 12x² and 16x. Which is it?

   • 4
   • 4x
   • 2x
   • 16x
7. 7.

   Noah wants the greatest common factor of 5x³ and 15x. Which is it?

   • x
   • 15x
   • 5x³
   • 5x
8. 8.

   Pia takes out 3x: 6x² + 9x = 3x(?). How would Pia write 6x² + 9x factored?

   3x(2x + 3)
9. 9.

   Ren takes out 2x: 4x² + 10x = 2x(?). How would Ren write 4x² + 10x factored?

   2x(2x + 5)
10. 10.

    Tala takes out 5x: 5x² + 15x = 5x(?). How would Tala write 5x² + 15x factored?

    5x(x + 3)