Exponents, Radicals, and Exponential Equations — Engineering Board Exam Practice Questions

8 free engineering board exam reviewer questions on Exponents, Radicals, and Exponential Equations (Algebra), each with the correct answer and a worked solution.

1. If a>0 and a2+a-2=7, find a+a-1.
2. Simplify sqrt(7+4 3).
3. If 2x=3 and 3y=4, find xy.
4. Evaluate 272/3+16-3/4.
5. Rationalize the denominator: 3/ 5- 2.
6. Solve for x: 9x=27x-1.
7. Simplify sqrt(72).
8. Evaluate 23·25/24.