# Polynomial Division and Rational Expressions: Proportion Control Quiz

Think you’ve got your head wrapped around Polynomial Division and Rational Expressions? Put your knowledge to the test. Good luck — the Stickman is counting on you!
Q. For the equation , the value x = 0

is neither a solution nor an extraneous solution.
is a solution.
is an extraneous solution.
is both a solution and an extraneous solution.
is a solution but not an extraneous solution.
Q. Which value is an extraneous solution to the equation

?

x = 0
x = 1
x = 2, x = -2
x = 4
x = 10
Q. The equation

has

no solutions.
a solution at x = 0.
solutions at x = 0, x = 3, and x = -5.
solutions at x = 4 and x = -5.
a solution at x = 4.
Q. If y = 4x, then

y is directly proportional to x.
y is inversely proportional to x.
x is inversely proportional to y.
y is neither directly nor inversely proportional to x.
y is both directly and inversely proportional to x.
Q. If y = 4x2 + 2, then

y is directly proportional to x.
y is inversely proportional to x.
x is directly proportional to y2.
y is neither directly nor inversely proportional to x.
y is both directly and inversely proportional to x.
Q. A rectangle's length is three feet more than five times its width. The area of the rectangle is 2 square feet. In units of feet, what is the length of the rectangle?

x = 0.5
x = 5
x
x
Q. The two triangles shown below (the big one and the smaller one sitting inside of it) are similar. Among other things, this means the ratio of height to base is the same for both triangles. What is the height of the larger triangle?

4
5

Q. The number of butterflies Mariposa gets in her yard is proportional to the number of butterfly bushes she plants. Obviously, we're talking about the butterfly plant, not butterflies the insect. Everyone knows those come from trees. If planting 7 bushes gets her 91 butterflies, how many bushes must she plant to get 130 butterflies?

6
10
13
21
39
Q. A horror movie has a crazy cat lady character who also owns a lot of birds. The ratio of cats to birds in her house is 4:7. If there are 512 legs in her house, how many birds does she have? The lady, by the way, has no legs of her own. We told you it was a horror movie...

17
68
93
119
238
Q. y is inversely proportional to x with constant 9. If three less than half of y is five greater than y, what is x?

-7
-16