Solve radical equations and equations with rational exponents, and check for fake answers

Answer Key - Grade 11 Math Worksheet

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

1. 1.

   Luz solves √(x − 3) + 4 = 9 on a math club card. What is x?

   28
2. 2.

   Pia solves 2√(x − 1) + 3 = 11 in a math book. What is x?

   17
3. 3.

   Ren solves x^(3/2) = 64 on a math club card. What is x?

   16
4. 4.

   Tala's robot solves x^(2/3) = 64 for x ≥ 0. What is x?

   512
5. 5.

   Ari solves x^(5/3) = 32 in a math book. What is x?

   8
6. 6.

   Bo solves √(x + 6) = x and checks each answer on a math club card. Which choice gives every solution?

   • x = 3 and x = -2
   • no solution
   • x = -2 only
   • x = 3 only
7. 7.

   Esme's robot solves √(x + 12) = x and checks each answer. Which choice gives every solution?

   • x = 4 only
   • no solution
   • x = -3 only
   • x = 4 and x = -3
8. 8.

   Jun solves √(5x − 6) = x and checks each answer on the class board. Which choice gives every solution?

   • x = 3 only
   • x = 3 and x = 2
   • no solution, both answers fail the check
   • x = 2 only
9. 9.

   Kira solves √(6x − 8) = x in a math book and checks each answer. Which choice gives every solution?

   • x = 4 only
   • x = 2 only
   • no solution, because both answers fail
   • x = 4 and x = 2
10. 10.

    Luz solves √(x − 2) = -3 and checks the answer on a math club card. Which choice gives every solution?

    • x = -7
    • no solution
    • x = -1
    • x = 11