Algebra C&C Support Final Review

Front

What is the formula to calculate population growth?

Back

The formula for population growth is P = P0(1 + r)^t, where P0 is the initial population, r is the growth rate, and t is the time in years.

Front

Calculate the population of a town after 4 years if the initial population is 12,000 and the growth rate is 5%.

Back

The population after 4 years is approximately 14,586 people.

Front

What is the value of f(-2) for the function f(x) = 3x - x^2?

Back

f(-2) = -10.

Front

What is the general form of a quadratic function?

Back

The general form of a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

What does the interquartile range (IQR) represent in statistics?

Back

The interquartile range (IQR) represents the range of the middle 50% of a data set, calculated as Q3 - Q1.

Front

What is the shape of a symmetric distribution?

Back

A symmetric distribution has a mirror image on either side of its center, often resembling a bell curve.

Front

What is the difference between skewed left and skewed right distributions?

Back

A skewed left distribution has a longer tail on the left side, while a skewed right distribution has a longer tail on the right side.

Front

What is the formula for finding the vertex of a quadratic function?

Back

The vertex of a quadratic function f(x) = ax^2 + bx + c can be found using the formula x = -b/(2a).

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

How do you determine if a function is increasing or decreasing?

Back

A function is increasing if its derivative is positive and decreasing if its derivative is negative.