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.

   Luz's decimal card says (0.5x + 3)(−6x). How would Luz write it with no brackets?

   -3x^2 - 18x
4. 4.

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

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

   Pia factors 9x − 3x³ by taking out 3x. What is 9x − 3x³ factored?

   3x(3 - x^2)
6. 6.

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

   2x(4x^2 - 1)
7. 7.

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

   • 6x(2x + 3)
   • 3x(4x + 6)
   • 6x(2x + 18x)
   • 6(2x² + 3x)
8. 8.

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

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

   Jun's last card says 2x(x − 3) + x(4x + 5). How would Jun write it with as few terms as possible?

   6x^2 - x
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