Q2: Pre-AP Alg2 Review Questions for Retake Flashcard#1 U1L1.4-L1.5

Front

What is the rule for simplifying expressions with negative exponents?

Back

To simplify expressions with negative exponents, rewrite the expression as a fraction with a positive exponent in the denominator. For example, x^{-n} = 1/x^{n}.

Front

How do you determine if a function represents exponential growth or decay?

Back

A function represents exponential growth if the base of the exponent is greater than 1 (e.g., y = a * b^x where b > 1). It represents exponential decay if the base is between 0 and 1 (e.g., y = a * b^x where 0 < b < 1).

Front

What is the formula for exponential decay?

Back

The formula for exponential decay is y = a * (1 - r)^t, where a is the initial amount, r is the decay rate, and t is time.

Front

What is depreciation in financial terms?

Back

Depreciation is the reduction in the value of an asset over time, often due to wear and tear or obsolescence.

Front

How do you calculate the value of an asset after a certain number of years of depreciation?

Back

The value of an asset after t years of depreciation can be calculated using the formula: V = P * (1 - r)^t, where P is the initial value, r is the depreciation rate, and t is the number of years.

Front

What is the significance of the variable 't' in the compounding formula?

Back

In the compounding formula, 't' represents the time in years for which the money is invested or borrowed.

Front

What is the formula for compound interest?

Back

The formula for compound interest is A = P(1 + r/n)^{nt}, where A is the amount of money accumulated after n years, P is the principal amount, r is the annual interest rate, n is the number of times that interest is compounded per year, and t is the number of years.

Front

What does it mean for a function to be exponential?

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is a positive real number, and x is the exponent.

Front

What is the difference between linear and exponential growth?

Back

Linear growth increases by a constant amount over equal intervals, while exponential growth increases by a constant percentage over equal intervals.

Front

How do you convert a negative exponent to a positive exponent?

Back

To convert a negative exponent to a positive exponent, take the reciprocal of the base raised to the positive exponent. For example, x^{-n} = 1/x^{n}.