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

Answer Key - Grade 11 Math Worksheet - Building Confidence

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

1. 1.

   Luz solves √(x + 5) = 4 on a math club card. What is x?

   11
2. 2.

   Milo's robot solves √(2x − 3) = 5. What is x?

   14
3. 3.

   Pia solves √(x + 9) = 5 on the class board. What is x?

   16
4. 4.

   Ren solves ∛(x + 1) = -2 for a math club puzzle. What is x?

   -9
5. 5.

   Zee solves ∛(x + 10) = -4 in a math book. What is x?

   -74
6. 6.

   Ari solves ∛(x − 3) = 4 on a math club card. What is x?

   67
7. 7.

   Bo squares both sides of √(x + 7) = x − 5 and gets x = 9 or x = 2. Which choice gives every solution of √(x + 7) = x − 5?

   • x = 9 only
   • no solution
   • x = 2 only
   • x = 9 and x = 2
8. 8.

   Esme's robot squares both sides of √(3x − 2) = x and gets x = 2 or x = 1. Which choice gives every solution of √(3x − 2) = x?

   • x = 2 only
   • x = 2 and x = 1
   • x = 1 only
   • no solution, both answers fail
9. 9.

   Jun squares both sides of √(x + 10) = x − 2 and gets x = 6 or x = -1. Which choice gives every solution of √(x + 10) = x − 2?

   • no solution
   • x = -1 only
   • x = 6 only
   • x = 6 and x = -1
10. 10.

    Kira's math book shows that squaring both sides of √(5x − 4) = x gives x = 4 or x = 1. Which choice gives every solution of √(5x − 4) = x?

    • no solution
    • x = 4 only
    • x = 4 and x = 1
    • x = 1 only