linear/quad modeling & power variation
polynomial division/ finding roots
solving, writing polynomial functions
graphing rational functions
solving rational functions/inequalities
100
Draw a graph that represents the line containing the point (2,-1) and having the slope of -1/2 
What is.....(draw on screen)
100
Find the quotient and remainder of (x^3 + 8x^2 + 19x + 13) \ (x - 3).
What is (x^2 + 11x + 52) R 169
100
Solve: x - squareroot(5)=sqareroot{20}
What is 3squareroot{5}
100
Find to Domain, Holes, Vertical and Horizontal asymtopes of 1/(x+3)
What is domain:x cannot = -3 Holes: n/a Vertical Asym x=-3 Horizontal Asym y=0
100
Solve: x^2 - 49 = 0
What is -7, 7
200
A line has slope −1. It passes through the points Q(2,-n) and R(4,-3). What is the value of n ?
What is 1
200
Use synthetic division to divide 3x^4 - 5x^2 + 6x - 5 by x - 3.
What is Q(x) = 3x^3 + 9x^2 + 22x + 72 R 211
200
solve 4/x +1/x^2 = 1/(5x^2)
What is -1/5
200
Identify the domain, hole(s), VA, HA, y intercept (x^2 + 4x -5)/(x+2)
What is domain: x cannot =-2 Holes : n/a VA: x=-2 HA: y=1 y-intercept: (0,-5/2) x -intercept : (-5,0) and (1,0)
200
Express the solution using interval notation. (x-7)/(x-1)<0
What is (1,7)
300
If x varies inversely as y, and x=9 when y=8, find x when y=12.
What is 6
300
According to the rational root theorem, a list of all the possible rational roots of the equation 2x^3-5x^2+3x-5=0 is:
What is (+/-) 1, 5, 1/2, 5/2
300
Solve: square root{6x + 1} = 5
What is 4
300
Identify the Domain, holes, va, ha of 1/(x^2-x)
What is domain: x cannot = 1 or 0 Holes: n/a VA: x=0 x=1 HA: y=0
300
solve (x+68)/(x+8)>=5
What is (-8,7]
400
If p varies inversely as q, and p=10 when q= 3/2, what is the value of p when q = 3/5?
What is 25
400
What are the zeros of the function f(x)=x^3+4x^2+x-6?
What is −3, −2, and 1
400
solve (a+1)/5a - 1/a=1
What is -1
400
Identify the horizontal asymp. of (2x^2-4x)/x^2
What is y=2
400
solve (x+6)/(x^2-5x-24)>=0
What is [-6,-3)U(8, inf)
500
The trinomial x^2-10kx+R is a perfect square. Find the value of R.
What is 25k^2
500
Find the roots of the equation x^2(x + 1) = 4(2x + 3)
What is 3, -2, -2
500
solve 1/(x+5)-1/(x^2+5x)=4/(x^2+5x)
What is 5
500
sketch the graph 1/(X^2-9)
What is .....(draw graph)
500
solve -3/(x+7)<= -4/(x+8)
What is (-inf,8)U(-7,-4]
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