Rational expressions
Conic sections
Trigonometry
Polynomials
Miscellaneous
100

The expression below that's not a rational expression: x/(2x2+1)          10          (x+y)/(xy)           xe/x2

What is xe/x2?

100

All possible central conics

What are circles, ellipses, and hyperbolas?

100

The measure of the reference angle of 210˚

What is 30˚

100

The expression below that is not a polynomial:

x1/2        x2        x2y+x          x115200+x9600

What is x1/2?

100

The value of (3+2i)(5-4i)

What is 23-2i?

200

Simplify: (2x+1)/(x+2)+(3-x)/(2x+4)

What is (3x+5)/(2x+4)?

200

The general equation for a parabola with a horizontal directrix and vertex (h, k)

What is x=a(y-k)2+h?

200

600˚ in radians

What is 10𝛑/3?

200

If 2+i is a root of the polynomial x4-6x3+14x2-14x+5, find another complex root

What is 2-i?

200

The next term in the sequence 2, 3, 6, 11, 18, 27, ...

What is 38?

300

Simplify: (x+2)/(3x+5)(2x+3)+1/(3x+5)

What is 1/(2x+3)?

300

The asymptotes of 16(x+3)2-9(y-3)2=144

What are y=4/3 x - 1 and y=-4/3 x + 7?

300

The value of cos 72˚ given that cos 36˚=(√5 + 1)/4

What is (√5 - 1)/4?

300

The number of negative roots are there to the equation x4-10x3+8x2-9x+3

What is 0?

300

The value of log23 • log34 • log45 • log56 • log67 • log78

What is 3?

400

Simplify: 1/(x+2)+(2x2+4x+4)/(x4+4x3+6x2+4x)

What is 1/x?

400

The values of k for which the graph of x2 + 6x + 4y2 - 8x + k = 0 is a nondegenerate ellipse

What is k < 13?

400

The third side of a triangle with 2 sides 6 and 10 and included angle of 60˚

What is √76?

400

Divide 4x4+10x3+6x2+8x+10 by 2x+1 synthetically and find the quotient

What is 2x3+4x2+x+7/2?

400

The sum of the infinite series consisting of all unit fractions expressible as a terminating decimal (including 1)

What is 5/2?

500

Divide (3x2+13x-10)/(6x2-x-2) by (x2+3x-10)/(4x2-6x-4)

What is 2?

500

The values of k for which 4x2 - 16x - 9y+ ky + 7 is a degenerate conic

What is k ≥ 18?

500

Simplify tan θ/(1+sec θ) + (1+sec θ)/tan θ

What is 2 csc θ?

500

The roots of x4+x3-2x2-6x-4

What are -1+i, -1-i, -1, and 2?

500

The name of the segments of DNA found on the lagging strand of replication

What are Okazaki fragments?