Math :)

Conic Sections

100

This conic section is perfectly round and has a center point.

What is a circle?

200

A parabola with equation y=(x−2)²+3 has a vertex at this point.

What is (2,3)

300

This conic section has two branches and two asymptotes.

What is a hyperbola?

400

Find the center of the circle (x−4)²+(y+1)²=25 

What is (4,−1)?

500

Identify the conic: 9x² -16y²=144

What is a hyperbola?

Inequalities

100

Simplify: (x²-9)/(x-3)

What is x+3, with a hole at x=3?

200

Use polynomial division to rewrite in standard form: (x²+3x+2)/(x+1)

What is x+2?

300

Simplify completely: (x²-4x+4)/(x^2-2x)

What is (x-2)/x, with a hole at 0 and 2?

400

Use polynomial division to rewrite in standard form: (x³-8)/(x-2)

What is x²+2x+4?

500

Simplify completely and state restrictions: (x²-16)/(x²-8x+16)

What is (x+4)/(x-4), with a hole at x=4?

Polynomials

100

What is the degree of 3x⁴−2x+7?

What is degree 4?

200

Factor: x²−9

What is (x−3)(x+3)?

300

What is the leading coefficient of 5x³−2x²+8?

What is 5?

400

 Divide: (x³-8)/(x-2)

What is x²+2x+4?

500

Find all roots of x²−5x+6=0

What are x=2 and x=3?