Test 1
Test 2
Test 3
Binomial Theorem & Math. Induction
Conic Sections
What am I?
100

The equation for the piece-wise function 

What is 

100

The domain of the function 

f(x)=(3x^2+2x)/(x^2-1)

What is 

(-oo,-1)\cup(-1,1)\cup(1,oo) ?

100

Using Cramer's Rule, the solution to the system 

What is (-2, 1) ?

100

Expand the binomial 

(x+2)^4

What is 

x^4+8x^3+24x^2+32x+16 ?

100

The equation of a circle with center (-1,2) and passing through the point (2,6).

What is 

(x+1)^2 + (y-2)^2 = 25 ?

100

x^2+(y-1)^2=16

What is a circle ?

200

The polynomial of least degree with real coefficients and zeros -2, 1.

What is 

x^2 +x-2 ?

200

The horizontal asymptote of the function 

g(x) = 2^{x+2}+1

What is y = 1 ?

200

Using an augmented matrix, the solution of the system 

What is (1, 0, 2) ?

200

The first step in mathematical induction

What is the base case (true for n=1) ?

200

The center-radius form of 

x^2 +6x+y^2+8y+9=0

What is 

(x+3)^2+(y+4)^2=16 ?

200

x^2+2x=-4y

What is a parabola?

300

The zeros of the function

f(x)=x^3+8x^2-3x-24

 given that -8 is a zero.

What are 

-8, -sqrt3, sqrt3 ?

300

The coordinates of the x-intercept and y-intercept of the function 

f(x)=(x+1)/(x^2-4)

What are (-1,0) and (0,-1/4) ?

300

The partial fraction decomposition of 

(2x-1)/(x^2-x-2)

What is 

1/(x-2) + 1/(x+1) ?

300

The 4th term in the expansion of 

(2x-3)^5

What is 

-1080x^2 ?

300

The equation of a parabola with focus (-1,2) and vertex (3,2)

What is 

(y-2)^2=-16(x-3) ?

300

x^2=25+y^2

What is a hyperbola?

400

The polynomial of least degree with real coefficients and zeros 

3 and -5i

What is 

x^3-3x^2+25x-75 ?

400

The exact solution for 

log x + log(2x+1)=1

What is x=2 ?

400

The total accumulated salary after 10 years with a starting salary of $30,000 with an annual raise of $2,500.

What is $412,500 ?

400

The first part of the induction step to prove that 

1+3+5+\cdots+(2n-1)=n^2

What is the K+1 step ? Add (2(k+1)-1) to both sides.

400

The equation of an ellipse with y-intercepts at (0,3),(0,-3) and foci at 

(0,sqrt3 ), (0,-sqrt 3)

What is 

x^2/6 + y^2/9 = 1 ?

400

2x^2+6x+23=-5y^2-10y

What is a point?

500

The zeros of the function

f(x)=x^3-2x^2-5x+6

  whose graph is 

What are -2, 1, and 3 ?

500

The exact solution for 

7log_6(9x)>14

What is 

(4, oo) ?

500

The total accumulated salary after 10 years with a starting salary of $35,000, with an annual raise of $1200.

What is $404,000 ?

500

The last part of the induction step to prove that 

1+3+5+\cdots+(2n-1)=n^2

What is find the "K+1" value of the right side?  (K+1)2  
500

The equation for a hyperbola with x-intercepts (-10,0), (10,0) and asymptotes 

y=\pm 1/5 x

What is 

x^2/100 - y^2/4 =1 ?

500

2x^2-8x=-9y^2-4

What is an ellipse?

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