Test
Exponential equations and models
This test covers exponential equations and their use in growth and decay models. Students rewrite expressions with a common base, solve equations and interpret percentage, compound and periodic change.
Time left: 00:00:00
Sample questions
- Solve ___x + ___ = ______.
- Initial value ___ grows by ___% yearly. Find it after ___ years.
- Initial value ___ decreases by ___% yearly. Find it after ___ years.
- Solve ___x = ___.
Exponential equations and models
In an exponential equation, the unknown appears in an exponent. If both sides can be written with the same positive base other than one, equate the exponents. Otherwise apply logarithms.
Growth and decay
The model y = abˣ represents growth for b > 1 and decay for 0 < b < 1. A percentage change p corresponds to multiplier 1 + p or 1 − p when p is a decimal. Identify the initial value, time unit and whether change compounds repeatedly.
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