AP Precalculus

Linear & Exponential Functions

100

What is the slope of the line passing through the points (2, 3) and (4, 7)?

2

200

Solve for x in the equation 2x+5 = 15x+5

0

300

Solve for x in the exponential equation 4^x = 256.

4

400

What is the equation of the line that passes through the points (1,2) and (3,6)?

y = 2x

500

If y = 3e^^2x, what is the value of y when x  = 2?

3e⁴ (163.794)

Trigonometry

100

sin(90) = ?

1

200

cos(240) = ?

-1/2

300

What is the period of the function y = sin(x)?

2π

400

If 2sin(x)+2, what is the value when its maximum is subtracted by the minimum?

4

500

Solve for x in the equation 2cos(2x) = 1 for the domain interval 0 ≤ x < 2π

π/3 and 5π/3

Rates of Change

100

What is the slope for f(x) = 3x+5?

3

200

If f(x) = 3x² - 4x + 6, what does f equal when x = 2?

12

300

Find the average rate of change of f(x) = x³ - 4x from x = -1 to x = 2

15

400

What is the instantaneous rate of change of x^2 - 3x + 2 at x = 1?

-1

500

Find the average rate of change of sin(x) from x = 0 to x = π/2

2/π

Polynomials

100

What is the degree of the polynomial 4x³ + 7x² + x⁶ - 4? 

6

200

Factor x² - 9

(x+3)(x-3)

300

What are the zeros of x² - 5x + 6

x = 2 and x = 3

400

What is the slant asymptote when x³ - 4x² + x - 4 is divided by x - 2?

x² - 2x + 2

500

Find the roots of x^3 - 6x^2 + 11x - 6

x = 1, 2, 3

Mystery

100

x = log(100)

2

200

What is the domain of the function f(x) = 1/x-4

x is not equal to 4

300

If f(x) = 5x - 3, what is f^-1(x)

(x+3)/5

400

Solve for x in the equation log(x+1) = 2

x = 99

500

What is the range of log(x)?

All real numbers