Name:
Math 412
Date:
Section:
Crunch Time Packet #2
1) Simplify:
84
2 3
2) The cumulative frequency table below shows the number of minutes 31 students spent text messaging
on a weekend.
Which ten minute interval contains the median? Justify your choice.
3) Kirsten invested $1000 in an account at an annual interest rate of 3%. She made no deposits or
withdrawals on the account for 5 years. The interest was compounded annually. Find the balance in
the account, to the nearest cent, at the end of 5 years.
4) Terry estimated the length of the edge of a cube to be 5 cm. The actual length of the side is
5.2 cm. Find the relative error of the surface area of the cube, to the nearest thousandth.
Name:
Math 412
5)
Date:
Section:
From the top of an apartment building, the angle of depression to a car parked on the street below is
38 degrees, as shown in the diagram below. The car is parked 80 feet from the base of the building.
Find the height of the building, to the nearest tenth of a foot.
6) Solve the system of equations graphically:
7) Solve algebraically, for all values of x.
3
2x
 2
x 5 x 8
y = x2 + 4x – 5
y = 2x + 3
Name:
Math 412
Date:
Section:
8) Doug has four baseball caps: one tan, one blue, one red, and one green.
He also has three jackets: one blue, one red, and one white.
a) Draw a tree diagram or list a sample space to show all possible outfits consisting of one baseball
cap and one jacket.
b) Find the number of Doug’s outfits that consist of a cap and a jacket that are different colors.
c) On Spirit Day, Doug wants to wear either green or white, his school’s colors. Find the number
of his outfits from which he can choose.
9) A jogger ran at a rate of 5.4 miles per hour. Find the jogger’s exact rate, in feet per minute.
1 mile = 5,280 feet
10) Miller’s Department Store is having a sale with a 25% discount on mattresses. If the sales tax rate is
8%, how much change will Frank receive from $800 if he purchases a mattress regularly priced at
$895 during this sale?
11) The difference between two numbers is 28. The larger number is 8 less than twice the smaller
number. Find both numbers. [Only an algebraic solution can receive full credit.]
12) Express
3x 2  9 x
x2  9

in simplest form.
x2  5x  6 x2  x  6
Name:
Math 412
Date:
Section:
13) A bottle contains 12 red marbles and 8 blue marbles. A marble is chosen at random and not
replaced. Then, a second marble is chosen at random. Determine the probability that the two marbles are
not the same color.
14) Solve the inequality –5(x – 7) < 15 algebraically for x.
15) Oatmeal is packaged in a cylindrical container, as shown in the diagram below.
The diameter of the container is 13 centimeters and its height is 24 centimeters. Determine, in terms of π,
the volume of the cylinder, in cubic centimeters.
16) In the diagram below of rectangle AFEB and a semicircle with diameter CD, AB = 5 inches,
AB = BC = DE = FE, and CD = 6 inches. Find the area of the shaded region, to the nearest of a
square inch.