SAT Math — Exponentials and Radicals — Drill 2

About This Drill

SAT Math — Exponentials and Radicals — Drill 2 is a Math practice drill covering Exponentials and Radicals. It contains 5 original questions created by Brian Stewart, a Barron's test prep author with over 20 years of tutoring experience.

Exponential function questions on the SAT model growth and decay using equations of the form f(x) = ab^x. This drill covers compound interest, half-life applications, fractional exponents, and interpreting what the base and initial value represent in context.

Questions in This Drill

1. An investor deposits $1,000 into an account that earns 5% interest compounded annually. A = 1,000(1.05)^t. What is the amount after 2 years, to the nearest dollar?
2. What is the value of 4^−3/2?
3. A radioactive substance has a half-life of 6 hours. If a sample initially contains 800 mg, how many mg remain after 18 hours?
4. What is the value of 27^2/3?
5. The population of a city is modeled by P(t) = 50,000(0.97)^t. Which statement best describes the trend?