Algebra II - Final Exam

Front

What is the product of 20 and -1?

Back

-20

Front

Write an equation that models exponential growth with an initial value of 6 and a growth rate of 14%.

Back

y=6(1.14)^x

Front

What is the probability that a normally distributed variable with a mean of 50 and a standard deviation of 15 falls between 50 and 70?

Back

0.4087

Front

Solve for x: 2x + 3 = 14.

Back

x = 5.5

Front

What are the zeros of the function f(x) = x^2 + 64?

Back

-8i and 8i

Front

Define exponential growth.

Back

Exponential growth occurs when the growth rate of a value is proportional to its current value, leading to growth that accelerates over time.

Front

What is the formula for the standard deviation in a normal distribution?

Back

The standard deviation is a measure of the amount of variation or dispersion in a set of values.

Front

What does it mean for a function to have zeros?

Back

Zeros of a function are the values of x for which the function f(x) = 0.

Front

How do you find the mean of a set of numbers?

Back

Add all the numbers together and divide by the count of numbers.

Front

What is the difference between a rational and an irrational number?

Back

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a simple fraction.