Simplify, multiply and divide rational expressions

Answer Key - Grade 11 Math Worksheet

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

1. 1.

   Esme simplifies (x² − 9)/(x² − x − 6) on a worksheet. Which is the simplest form?

   • (x + 2)/(x + 3)
   • (x − 3)/(x − 2)
   • (x + 3)/(x + 2)
   • -9/(-x − 6)
2. 2.

   Kira simplifies (x² − 4x − 5)/(x² − 25) in pencil. Which is the simplest form?

   • (-4x − 5)/(-25)
   • (x + 1)/(x + 5)
   • (x + 5)/(x + 1)
   • (x − 1)/(x − 5)
3. 3.

   Luz simplifies (x² + 4x − 12)/(x² − 36) from a math book. Which is the simplest form?

   • (x + 2)/(x + 6)
   • (x − 2)/(x − 6)
   • (4x − 12)/(-36)
   • (x − 6)/(x − 2)
4. 4.

   Noah simplifies (x² + 3x − 10)/(x² + 7x + 10) in a notebook. What are all the excluded values of x?

   -5, -2
5. 5.

   Pia simplifies (x² − 1)/(x² − 6x + 5) in pencil. What are all the excluded values of x?

   1, 5
6. 6.

   Ren simplifies (x² + x − 12)/(x² − 9) from a math book. What are all the excluded values of x?

   -3, 3
7. 7.

   Tala divides (x² − 16)/(x + 2) by (x − 4)/(x + 2) on a worksheet. What is the quotient in simplest form?

   x + 4
8. 8.

   Zee divides (x² + 5x + 6)/(x − 1) by (x + 3)/(x − 1) in a notebook. What is the quotient in simplest form?

   x + 2
9. 9.

   Ari divides (x² − 9)/(x + 1) by (x − 3)/(2x + 2) in pencil. What is the quotient in simplest form?

   2x + 6
10. 10.

    Bo divides (x² + 4x)/(x − 2) by x/(3x − 6) from a math book. What is the quotient in simplest form?

    3x + 12