Newton

Solving Quadratics

100

What are the solutions to n² - 64 = 0?

{-8,8}

200

What are the solutions to x² - 9x + 18 = 0?

{3,6}

300

What are the solutions to 7p² - 38p -24 = 0?

{-4/7, 6}

400

What are the solutions to 6k² - 42k + 72 = 0?

{3,4}

500

What are the solutions to x² - 4x - 6 = 0?

2 +/- sqrt 10

Graphing Quadratics

100

Which direction does the graph of the equation  y = x² - 7x + 6 face?

up

200

What is the name of the shape of the function y = x² + 2x + 1?

parabola

300

What is the axis of symmetry for the graph of the equation y = x² - 2x -3?

x = 1

400

What is the vertex of the equation y = x² - 8x?

(4, -16)

500

What is the vertex of the equation y = -2x² + 3?

(0, 3)

Complex Numbers

100

What is i⁴ equal to?

1

200

What does (-8 + 4i) - (4 - 5i) simplify to?

-12 + 9i

300

What does (3 + 5i)(4 - i) simplify to?

17 + 17i

400

What does (3- 4i)² simplify to?

-7 + -24i

500

What is (-4 - 3i)/(5 + 2i) equivalent to as a complex number?

(-26/29) - (7/29) i

Functions

100

If g(x) = x² -5x + 2, what is g(-1)?

8

200

What is the domain of f(x) = x²/(x² + 1)?

(-infinity, infinity)

300

If f(x) = 2x -6 and g(x) = 3x - 9, what is f(g(2))?

-12

400

If the parent function y = f(x) is transformed to y = f(2x), what is the scaling factor and is it horizontal or vertical?

horizontal scaling by a factor of 1/2

500

If g(x) = (7x + 18)/2, what is g^-1(x)?

g^-1(x) = (2x -18)/7

Inequalities

100

What is the solution to the inequality 3p² + 8 > 20?

p> 2 or p < -2.

200

What is the solution to x² -3x + 2 < 0?

1 < x < 2

300

What is the solution to x² - 5x + 24 < 5x + 8?

2 < x < 8

400

In the graph of the equation y > x² + 6x + 6, is the shading inside or outside the curve?

inside

500

In the graph y > - x², is the point (0,1) inside or outside the shaded region?

inside