Radical and rational functions and equations Knowledge-Based Download PDF

Questions

1. 1.

   What is the solution set of the equation $\sqrt[3]{x^3 - 7} = x - 1$?

   • A) $\{-1, 2\}$
   • B) $\{2\}$
   • C) $\{-2, 1\}$
   • D) $\{1, 2\}$
2. 2.

   What is the solution set of the equation $\frac{x + 2}{\sqrt{x + 5}} = 2$?

   • A) $\{4\}$
   • B) $\{-4, 4\}$
   • C) $\{-4\}$
   • D) $\emptyset$
3. 3.

   What is the solution set of the equation $\sqrt{x + 2} + \sqrt{3x + 4} = 2$?

   • A) $\{7\}$
   • B) $\{-1, 7\}$
   • C) $\{-1\}$
   • D) $\emptyset$
4. 4.

   What is the solution set of the rational equation $\frac{x}{x - 3} - \frac{2}{x + 1} = \frac{8}{x^2 - 2x - 3}$?

   • A) $\{-1, 2\}$
   • B) $\{-1\}$
   • C) $\{-2\}$
   • D) $\{2\}$
5. 5.

   What is the solution set of the equation $\sqrt{2x + 15} = x + 6$?

   • A) $\{-7, -3\}$
   • B) $\{-3\}$
   • C) $\{-7\}$
   • D) $\emptyset$