Advanced Algebra Pre Test

Front

What is the result of simplifying (4x^2 + x) - (x^2 + 2x)?

Back

3x^2 - x

Front

What function represents the monthly cell phone sales after a 3.7% increase starting from 417 sales?

Back

f(x) = 417(1.037)^x

Front

What is the slope-intercept form of the line represented by y = -x + 2?

Back

The slope is -1 and the y-intercept is 2.

Front

What is the constant term in the polynomial function 2x^3 - 8x^2 + 3x - 7?

Back

-7

Front

Which quadratic equation models the parabola shown by the factors (x-2)(x-5)?

Back

y = (x-2)(x-5)

Front

What is the definition of a polynomial function?

Back

A polynomial function is a function that can be expressed in the form f(x) = a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0, where a_n, a_(n-1), ..., a_0 are constants.

Front

What is the degree of the polynomial 4x^3 - 2x^2 + x - 5?

Back

The degree is 3.

Front

How do you find the vertex of a quadratic function in standard form y = ax^2 + bx + c?

Back

The vertex can be found using the formula x = -b/(2a).

Front

What is the formula for the quadratic equation?

Back

The quadratic formula is x = (-b ± √(b^2 - 4ac)) / (2a).

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as x increases, the value of f(x) also increases.