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Exponent
Rational
Polynomials
Expressions Equations
Cubic
Functions
Chance
100
100
100
100
100
200
200
200
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200
300
300
300
300
300
400
400
400
400
400
500
500
500
500
500
100
True or False: The expression 8x-5x31/2x represents a polynomial.
100
True
200
Write the polynomial in standard form.
6-3x2+x – 4x3
200
-4x3 – 3x2 + x + 6
300
Write the polynomial in standard form
and give the degree.
2a(a2 – 5 + a)
300
2a3 + 2a2 – 10a
400
What is the coefficient of the third
term from the left after it has been
written in standard form.
6p – 2p2 + 4 + p5
400
6
500
Write a polynomial expression for the
volume of a rectangular prism whose
dimensions are 3x, x+2 and x.
500
3x3+6x2
Hint: V=L(w)(h)
100
Simplify: x3 * x-2 * x4
100
x5
200
Simplify: (3a-2)3
200
27
a6
300
Simplify: (2y2/y3)2
300
4
y2
400
Factor Completely: 4a4 – 12a3 + 8a2
400
4a(a – 2)(a – 1)
500
Factor Completely:
15x2y3 – 21xy5
500
3xy3(5x – 7y2)
100
True or False: To solve the following
equation, we must cross-multiply.
3 = 5
x
x-2
100
True
200
True or False: To solve, we must use a
common denominator.
x - 4 = 2
x+2 x(x+2) x
200
True
300
Solve:
3 =
x
5
x-2
300
x=-3
400
Solve: 2 = x+4
x– 5 5
400
x = 6 and x= -5
500
Solve:
x - 4 = 2
x+2 x(x+2) x
500
x=4
(x = -2 is extraneous)
100
True or False: A function is a cubic
function if the degree is 3.
100
True
200
How many x-intercepts does the cubic
function have?
y=2x(x – 3)(x + 4)
200
3
300
List the zeros of each function and tell
which, if any, are double or triple
zeros.
y=x(x – 4)2
300
0, double 4
400
Solve for x.
(2x+1)(x+5)(x – 9) =0
400
x = -1/2 x=-5, x = 9
500
Solve for x.
x3 – 10x2 + 24x = 0
500
x=0, x=4, x=6
100
Classify the function as linear,
quadratic, or cubic.
y = -x2 + 5
100
quadratic
200
Classify the function as linear,
quadratic or cubic.
y = 4 – 2x
200
linear
300
Factor Completely.
16a3b8 + 18ab6
300
2ab6(8a2b2 + 9)
400
Solve using the quadratic formula.
Round answers to the nearest
hundredth.
0 = x2 – 5x – 3
400
x = 5.54 and x = -0.54
500
Write a cubic function that has two xintercepts and a double zero at 7.
500
Answers may vary, but the factor (x -7)2 must
be included and there can only be two “x's”.
y = x(x-7)2