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

Answer Key - Grade 8 Math Worksheet - Challenge Me

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

1. 1.

   Esme's decimal card says (1.5 + x)(−2x). How would Esme write it with no brackets?

   -2x^2 - 3x
2. 2.

   Jun's decimal card says (x − 0.4)(5x). How would Jun write it with no brackets?

   5x^2 - 2x
3. 3.

   Milo factors 20x − 5x³ by taking out 5x. What is 20x − 5x³ factored?

   5x(4 - x^2)
4. 4.

   Noah factors 18x³ + 12x by taking out 6x. What is 18x³ + 12x factored?

   6x(3x^2 + 2)
5. 5.

   Ren factors 8x³ − 2x by taking out 2x. What is 8x³ − 2x factored?

   2x(4x^2 - 1)
6. 6.

   Tala factors 12x² + 18x with its greatest common factor. Which answer is right?

   • 3x(4x + 6)
   • 6x(2x + 3)
   • 6x(2x + 18x)
   • 6(2x² + 3x)
7. 7.

   Zee factors 10x² − 15x with its greatest common factor. Which answer is right?

   • 5x(2x − 15x)
   • x(10x − 15)
   • 5(2x² − 3x)
   • 5x(2x − 3)
8. 8.

   Ari factors 16x³ + 8x with its greatest common factor. Which answer is right?

   • 4x(4x² + 2)
   • 8(2x³ + x)
   • 8x(2x² + 1)
   • 8x(2x² + 8x)
9. 9.

   Bo factors 9x² − 27x with its greatest common factor. Which answer is right?

   • 9(x² − 3x)
   • 9x(x − 27x)
   • 3x(3x − 9)
   • 9x(x − 3)
10. 10.

    Kira's last card says −x(x + 1) + 2x(3x + 2). How would Kira write it with as few terms as possible?

    5x^2 + 3x