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

Answer Key - Grade 8 Math Worksheet

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

1. 1.

   How would Ari write −3x(2x − 5) with no brackets?

   -6x^2 + 15x
2. 2.

   How would Esme write 4x(3 − x) with no brackets?

   -4x^2 + 12x
3. 3.

   How would Kira write 0.5x(4x + 6) with no brackets?

   2x^2 + 3x
4. 4.

   Luz factors 12x² − 8x by taking out 4x. What is 12x² − 8x factored?

   4x(3x - 2)
5. 5.

   Milo factors 10x² + 25x by taking out 5x. What is 10x² + 25x factored?

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

   Pia factors −6x² + 15x by taking out −3x. What is −6x² + 15x factored?

   -3x(2x - 5)
7. 7.

   Ren factors −8x² − 4x by taking out −4x. What is −8x² − 4x factored?

   -4x(2x + 1)
8. 8.

   Zee's quilt is a rectangle x units by x + 6 units. What is its area, with no brackets?

   x^2 + 6x
9. 9.

   Ari's window is a rectangle 3x units by 2x + 5 units. What is its area, with no brackets?

   6x^2 + 15x
10. 10.

    Bo's door is a rectangle 4x units by x − 2 units. What is its area, with no brackets?

    4x^2 - 8x