EQUATIONS
CONIC SECTIONS
CONIC SECTIONS
RADICALS AND NONREAL NUMBERS
LOGARITHMS AND EXPONENTIALS
100

What is the value of x in the equation  x+ x = 12 ?

What is -4 and 3 ?

100

What is the center of                (x - 3)2 + y2  = 24 and what conic section is it?

What is (3,0) ;  circle  ?

100

What is the center of             (x - 3)2 + y2 = 24?

What is (3,0) ?

100

What is the result of rationalizing the denominator for  6/ (2 - sqrt 3) ?

What is    12 + 6 sqrt 3   ?

100

What is x if log10 0.1 = x ? 

What is -1 ?

200

What is the solution of the equation  x-10x + 18 = 0 ? 


5 +- square root 7 

200

Does the conic section                    y - 4 - (x + 5)2  = 0  open up or down, and what conic section is it?

What is "opens up" and "parabola"?

200

Does the conic section y - 4 - (x + 5)2 = 0 open up or down, and what conic section is it?

What is "opens up" and what is a parabola?

200

What is x if  6 - sqrt x = 11 ? 

What is "no solution"?

200

What is x if  log8x = 2/3 ?

What is 4 ?

300
What is the solution of the equation x2/4 = 2x - 10 ?

What is 4 +- 2i square root 6 ?

300

What are the coordinates of the highest vertex of the conic section     (x-5)2/4  +  (y + 3)2/16 = 1 and what conic section is it?

What is (5,1) and an "ellipse"?

300

What are the coordinates of the highest vertex of the conic section with equation   (x-5)2/4 + (y+3)2/16 = 1 and what conic section is it?

What is (5,1) and what is an ellipse?

300

What is the product of (3 + i)(4 - 3i)?

What is  15 - 5i ?

300

What is the exponential form of  log5(1/125) = -3

What is  1/125 = 5-3   ?

400

What is the solution of the equation /3x - 1/ + 5 = 3 ?

What is the empty set (no solution)?

400

What are the coordinates of one vertex of (y - 5)2/16 - (x + 2)2/9 = 1 and what conic section is it?

What is (5,1) or (5,-5) and what is a "hyperbola"?

400

What is one vertex of the conic section with equation (x-5)2/16 - (y+2)2/9 = 1 and what conic section is it?

What is (5,1) or (5,-5) and what is a hyperbola?

400

What is x if  x2 - 5x + 1 = 0?                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              

What is (5 +- sqrt 21)/2

400

What is x if  log5(x + 4) - log5 x = 2

What is  1/6 ?

500

What is the solution set for the equation x2 + 19x + 70 = 0 ?

What is {-14,-5} ?

500

What is the radius of the circle x2 + y2 - 2x + 6y + 9 = 36?

What is (1,-3) ?

500

What is the radius of the circle with equation x2+ y2 - 2x + 6y - 26 = 0

What is 6 ?

500

What is x is 2x2 - 2x + 5 = 0?

What is (1 +- 3i)/2  ?

500

What is x if log10 x + log10 (x - 21) = 2 ?

What is 25?