Solving Equations
Graphing
Writing Equations and Combining Functions
Writing in a different form
Miscellaneaous
100

log(5x)=2

x=20

100

Polynomial with 3 real roots and 4 complex

Graph with degree 7, crosses x-axis 3 times and turns 6 times

100

Write an equation of a third-degree polynomial with a double root at (2,0) that also passes through (-4,0) and (3,2)

y=2/7(x-2)2(x+4)

100

Factor  144x2-121y2

(12x-11y)(12x+11y)

100

Simplify (7-2i)2

45-28i

200

5*63m =20

m=.2579

200

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

Goes through (0,0), (-2,0), (-3,0) and bounces at (1,0) left side pointing up, right side pointing down (negative odd)

200

Write an exponential equation that goes through 

(-1, -.5) and (2, 12.5) with an asymptote of y=-1

y=1.5(3)x-1

200

Factor 4x2-35x+49

(x-7)(4x-7)

200
Approximate the (x,y) point on the unit circle for the angle 290 degrees.

(0.342, -0.940)

300

6(x-2)2+175=25

x=2+5i, 2-5i

300

y=log (x+2)-3   (Do this for base 7)

Vertical Asymptote at x=-2, goes through (-1, -3) and (5, -2)

300

g(x)=8x2 and f(x)=2x+8

Find f(g(x))

16x2+8

300

Convert 390 degrees to radians (simply in fraction form)

13pi/6

300

(3x2+6x)/(6x2-3x)  divided by (x+1)/(2x-1)

(x+2)/(x+1) x cannot be 0, 0.5, -1

400

sqrt(x+4)=.5x+2

x=-4, 0

400

y=3sin(1/2x)

Amplitude of 3, starts at (0,0), only see half of the picture in 2pi

400

g(x)=8x2 and f(x)=2x+8

Find g(f(x))

32x2+256x+512

400

Convert 7pi/9 to degrees

140 degrees

400

3/(b-8) + 7/(b+3)  

(10b-47)/((b-8)(b+3)   b cannot be -3, 8

500

Solve the system of equations. 

x2-y=-2

-x+y=4

(-1,3) and (2,6)

500

y=cos(x-pi/4) +1

Midline of 1 and shifted right pi/4. First top point at (pi/4,2)

500

Find the inverse of y=sqrt(x-3)+7

y=(x-7)2+3 with domain of x >(or equal) 7

500

Condense to a single logarithm

3log(x)+2log(2)-6log(y)

log(4x3/y6)

500

4/(x+1) - 2/(x+2) 

(2x+6)/((x+1)(x+2))  x cannot by -1, -2

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