EOC Fall Review 2022

Front

What is the initial height of a model car represented by the expression -2x^3 + x^2 + 5x + 30 when x = 0?

Back

30 centimeters.

Front

How do you find the volume of a solid of revolution created by rotating a rectangle about a line?

Back

Use the formula for the volume of revolution, typically involving integration, or apply the disk or washer method.

Front

What is the formula for the area of a rectangle?

Back

Area = length × width.

Front

If a rectangle has a length that is 3 feet longer than its width, how can you express the length in terms of width?

Back

Length = width + 3.

Front

What is the function that represents the area covered with white tile if the green rectangle has width w and length w + 3, and the floor has width 3w and length 3w + 5?

Back

f(w) = 3w(3w + 5) - w(w + 3).

Front

What is the general form of an exponential function?

Back

f(t) = a(b)^t, where a is the initial value and b is the growth factor.

Front

How do you determine the measure of an inscribed angle in a circle?

Back

The measure of an inscribed angle is half the measure of the intercepted arc.

Front

What is the formula for the area of a circle?

Back

Area = πr^2, where r is the radius.

Front

What is the relationship between the coefficients of a polynomial and its degree?

Back

The degree of a polynomial is the highest power of the variable in the polynomial.

Front

What does it mean for a function to model a real-world situation?

Back

It means the function represents a relationship between variables that can be used to predict or analyze outcomes.