Algebra 2 Unit Test Review

Which function has a horizontal asymptote of y = 3?

What is the length of a pendulum that makes one full swing in 2.2 seconds?

What is the following product?

What is the solution of the given equation?

What are the domain and range of the function?

What is the approximate air pressure at the center of a hurricane when the mean sustained wind velocity is 64 meters per second?

By what approximate percent does the population change per day?

Which expression is equivalent to the given expression assuming x is a positive integer?

Which function is shown in the graph below?

What is the solution of the given equation?

What is the range of the function f(x) = -2(6x) + 3?

What is the magnitude of an earthquake that is 1,000 times more intense than a standard earthquake?

In which step did the student make the first error?

Which of the following shows the graph of y = -(2)x - 1?

Which of the following is an equivalent form of the equation for the population of sample 2?

Functions and Asymptotes

The function f(x) = 2(4x) + 3 has a horizontal asymptote at y = 3.

Pendulum Swing Calculation

To find the length of a pendulum that swings in 2.2 seconds, the result is 4 feet using the formula related to pendulum motion (with π approximated as 3.14).

Products and Solutions

Solution to the product question represented as mc017-1 is labeled A.
The solution for equation mc013-1 yields x = 53.
For mc017-1, the solution is x = 3.

Domain and Range

For the function represented by mc017-1, the domain is defined as x > 1, while the range includes all real numbers.
The range of the function f(x) = -2(6x) is denoted as B.

Hurricane Wind Velocity

The mean sustained wind velocity can be tied to air pressure measured in millibars; at 64 meters per second, the pressure is approximately 363 millibars.

Bacteria Population Dynamics

The bacteria population changes approximately by a 4.8% decrease per day based on the given growth equation.
A biologist starts with a sample of 20,000 bacteria, which doubles every 10 days. After 7 days, a second sample also starts at 20,000 bacteria.

Earthquake Magnitude

The magnitude M of an earthquake can be calculated using the intensity I, with a standard earthquake's intensity S. An earthquake 1,000 times more intense has a magnitude of approximately 3, rounded to the nearest tenth.

Error Analysis in Problem Solving

In solving the equation represented by mc026-1 through graphing, the first error occurs in Step 2, where a change of base is incorrectly applied.

Graphical Representations

The function y = -(2)x - 1 is graphically represented by option B.
Another expression equivalent to mc026-1 is denoted as A, assuming specific conditions presented in mc026-2.
For the second sample of bacteria, an equivalent form of the growth equation is given as D.

Prepare for your Algebra 2 unit test with this comprehensive set of flashcards. Each card contains key concepts, equations, and problem-solving techniques essential for mastering the material. Study functions, pendulum formulas, and more to excel in your exam.