Random Regents Friday

Front

Simplify the expression: (3x^2 + 4x - 8) + 2(11 - 5x)

Back

3x^2 - 6x + 14

Front

Calculate the average rate of change in the number of reported polio cases per year in Nigeria from 2006 to 2013.

Back

-153.71

Front

Find the equation of the line that passes through the point (6, -3) with a slope of -4/3.

Back

3y = -4x + 15

Front

What is the degree of the polynomial 2x + x^3 + 5x^2?

Back

3

Front

If f(x) = x^2 + 3x, which statement is true? f(-1) = f(-2)

Back

True

Front

What is the definition of a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

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

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the formula for the average rate of change of a function f over the interval [a, b]?

Back

Average rate of change = (f(b) - f(a)) / (b - a).

Front

What is the definition of a quadratic function?

Back

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