Simplify, multiply and divide rational expressions

Answer Key - Grade 11 Math Worksheet - Building Confidence

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

1. 1.

   Esme writes (x + 4)/((x − 3)(x + 6)) on a worksheet. What are the excluded values of x?

   -6, 3
2. 2.

   Jun writes (x − 5)/((x + 2)(x − 7)) in a notebook. What are the excluded values of x?

   -2, 7
3. 3.

   Kira writes (2x + 1)/(x(x − 8)) in pencil. What are the excluded values of x?

   0, 8
4. 4.

   Luz writes (x + 9)/((x − 1)(x + 5)) from a math book. What are the excluded values of x?

   -5, 1
5. 5.

   Milo simplifies (x − 2)(x + 5)/((x + 5)(x + 1)) on a worksheet. Which is the simplest form?

   • -2
   • (x − 2)/(x + 1)
   • (x + 1)/(x − 2)
6. 6.

   Noah simplifies (x + 6)(x − 3)/((x − 3)(x + 4)) in a notebook. Which is the simplest form?

   • (x + 4)/(x + 6)
   • (x + 6)/(x + 4)
   • 3/2
7. 7.

   Tala divides (x + 1)/(x − 4) by (x + 1)/(x + 2) on a worksheet. Which is the quotient in simplest form?

   • (x − 4)/(x + 2)
   • (x + 2)/(x − 4)
   • (x + 1)²/((x − 4)(x + 2))
8. 8.

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

   • (x + 5)/(x − 6)
   • (x − 6)/(x + 5)
   • (x − 3)²/((x + 5)(x − 6))
9. 9.

   Ari divides (x + 2)/(x − 7) by (x + 4)/(x − 7) in pencil. Which is the quotient in simplest form?

   • (x + 2)/(x + 4)
   • (x + 2)(x + 4)/(x − 7)²
   • (x + 4)/(x + 2)
10. 10.

    Bo divides x/(x + 3) by (x − 1)/(x + 3) from a math book. Which is the quotient in simplest form?

    • (x − 1)/x
    • x(x − 1)/(x + 3)²
    • x/(x − 1)