2023 EOC Practice

Front

What is the value of x if f(x) = -2?

Back

x = 8

Front

What is the vertex of the graph of a quadratic function?

Back

The vertex is the point where the graph changes direction, represented as (h, k) in the vertex form y = a(x-h)² + k.

Front

If a cup is filled with 100 ml of water and 2 ml are poured out every second, which function represents the amount of water left after t seconds?

Back

w(t) = 100 - 2t

Front

What is the formula for compound interest?

Back

A = P(1 + r/n)^(nt), where A is the amount, P is the principal, r is the rate, n is the number of times interest is compounded per year, and t is the number of years.

Front

What type of function is y = 7(5/4)^x?

Back

Exponential Growth.

Front

Define a quadratic function.

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax² + bx + c.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the difference between exponential growth and exponential decay?

Back

Exponential growth occurs when a quantity increases at a consistent percentage rate, while exponential decay occurs when it decreases at a consistent percentage rate.

Front

How do you find the y-intercept of a linear equation?

Back

Set x = 0 in the equation and solve for y.