Solve rational equations, and check for fake solutions

Answer Key - Grade 11 Math Worksheet

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

1. 1.

   Kira solves x/(x − 7) + 2 = 13/(x − 7) on a worksheet. What is x?

   9
2. 2.

   Luz solves x/(x − 7) + 3 = 3/(x − 7) in a notebook. What is x?

   6
3. 3.

   Milo solves 2x/(x − 7) + 2 = 10/(x − 7) in pencil. What is x?

   6
4. 4.

   Noah solves 2x/(x − 6) + 3 = 22/(x − 6) from a math book. What is x?

   8
5. 5.

   Pia solves x²/(x − 2) = (-5x + 14)/(x − 2) on a worksheet. What are all the solutions?

   -7
6. 6.

   Ren solves x²/(x + 4) = (x + 20)/(x + 4) in a notebook. What are all the solutions?

   5
7. 7.

   Ari's club has two printers. The fast one prints the flyers in 20 minutes and the slow one in 30 minutes. How many minutes do both take together?

   12
8. 8.

   Two hoses fill Bo's garden barrel. The big hose takes 12 minutes alone and the small hose 24 minutes. How many minutes do both take together?

   8
9. 9.

   Esme has two leaf blowers for the school path. One clears it in 10 minutes and the other in 15 minutes. How many minutes do both take together?

   6
10. 10.

    Jun's art club paints a mural with two rollers. The wide roller alone takes 3 hours and the narrow one 6 hours. How many hours do both take together?

    2