Math III EOC Review #3

Front

What is the center of the circle with equation x² + (y+6)² = 196?

Back

(0, -6)

Front

What will be the remainder when the polynomial p(x) = 7x³ - 36x² - 42x + 30 is divided by x-6?

Back

-6

Front

Which function has the zeros of 10 and -7?

Back

x² - 3x - 70

Front

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

Back

y = 5000(0.7)ⁿ

Front

What is the standard form of a circle's equation?

Back

(x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius.

Front

What is the quadratic formula used to find the roots of a quadratic equation?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

Define a polynomial function.

Back

A function that is represented by a polynomial expression, which is a sum of terms consisting of a variable raised to a non-negative integer power.

Front

What is the definition of a zero of a function?

Back

A value of x for which the function f(x) = 0.

Front

What does it mean to reduce a fraction to lowest terms?

Back

To simplify a fraction so that the numerator and denominator have no common factors other than 1.

Front

What is the formula for exponential decay?

Back

y = a(1 - r)ⁿ, where a is the initial amount, r is the decay rate, and n is the time period.