11th grade Simplify, multiply and divide rational expressions worksheet

Simplify, multiply and divide rational expressions

Grade 11 Math Worksheet

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

1. 1.

   Jun simplifies (x² − 16)/(x² + 3x − 4) in a notebook. Which is the simplest form?

   • (x − 1)/(x − 4)
   • -16/(3x − 4)
   • (x − 4)/(x − 1)
   • (x + 4)/(x + 1)
2. 2.

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

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

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

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

   Milo simplifies (x² − 4x)/(x² − 2x − 8) on a worksheet. What are all the excluded values of x?
5. 5.

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

   Ren simplifies (x² + x − 12)/(x² − 9) from a math book. What are all the excluded values of x?
7. 7.

   Tala divides (x² − 16)/(x + 2) by (x − 4)/(x + 2) on a worksheet. What is the quotient in simplest form?
8. 8.

   Zee divides (x² + 5x + 6)/(x − 1) by (x + 3)/(x − 1) in a notebook. What is the quotient in simplest form?
9. 9.

   Ari divides (x² − 9)/(x + 1) by (x − 3)/(2x + 2) in pencil. What is the quotient in simplest form?
10. 10.

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