Algebra 1
Polynomials
Rational
Not Rational
Quadratic
100
Give the domain and range of
f(x) = 5
Domain: (-inf, inf)
Range: [5,5]
100
Factor a2m2 - b2m2 - a2n + b2n
(m2-n)(a+b)(a-b)
100
Simplify
b-a
100
i-123 + 2i123
-i
100
Complete the square:
x2 - 17x + ___
289/4 or 72.25
200
Write the standard equation of a line through (-2, -4) and perpendicular to the line containing (25,11) and (21,17)
2x - 3y =8
200
Factor x3z - w3y + x3y - w3z
(x-w)(x2+xw+w2)(y+z)
200
Solve for 
x/(2-x)
200
Solve for r:
r=-1
200
Give the vertex coordinates of 5x2 - 2x + 1
(1/5, 4/5)
300
Solve 3 < |x + 2| < 5
Write your answer in interval notation
(-7, -5) u (1, 3)
300
The GCF of 6xy3 and another monomial is 3xy. Their LCM is 30x2y3. What is the other monomial?
15x2y
300
Simplify
(a + b - c) / (a - b + c)
300
Solve for x
No solution
300
Given f(x) = ax2 + bx + c, state the nature (+, -, 0) of the discriminant, a, b, and c for the following function:
discriminant: 0
a > 0
b < 0
c > 0
400
An executive traveled a total of 4 hours and 875 miles by car and by plane. Driving to the airport by car, she averaged 50 miles per hour. In the air, the plane averaged 320 miles per hour. How long did it take her to drive to the airport?
1.5 hours
400
Solve for x:
42x+3(163x)=8(8x/3)
x=-1/5
400
Identify the holes, VA, HA, and zeroes:
Holes: x = -1
VA: x = 2, x = -2
HA: y = 1
Zero: x = 1
400
Solve for x:
x=3
400
Write the equation of a parabola with vertex (2, 17) that crosses (4, 5) in standard form.
-3x2 + 12x + 5
500
A jar consisting of only nickels and dimes contains 58 coins. If the total value is $4.20, what is the total value of just the nickels?
$1.60
500
Solve the following polynomial equation:
0= 4x5 - 25x3 + 36x
x = 0, 3/2, -3/2, 2, -2
500
A certain grade of milk contains 10% butterfat and a certain grade of cream contains 60% butterfat. How many liters of each must be taken so as to obtain a mixture of 100 liters that will be 45% butterfat?
70 liters of cream, 30 liters of milk
500
Given that (a + 3i)(9+2i) is a real number, solve for the possible real value of a.
a = -27/2
500
Give the equation of a parabola with real coefficients that has a root at 2-3i and crosses (1, -20)
y = -2x2 + 8x - 26