MATH 0930
Beginning Algebra Part 1
K.Rigdon
Name_________________________
Practice Test for Exam 6 –3.3-3.4
Due (optional) Test Day – Monday, 2/27/2012
This practice test will give you a good idea of the type and number of problems you will see on the
actual test. Working through this practice test will, therefore, provide you with a good idea of how
well you know the material you will be tested over. I am providing the answers on the last sheet for
you to check your answers. You have the opportunity to earn 3 extra credit points toward your
test grade if you show all work for all the problems and, of course, get all the answers correct
(partial points can be earned as well). If you would like to earn these extra points, you will need
to turn in this packet, with your work attached (on your own notebook paper), on test day.
The exam will include 6 Cumulative Review problems (like the Cumulative Review type
problems assigned in Homework assignments… p210: #42-46 all & p223: #70, 71, & 73 OR like
the ones you’ve been seeing in the Cumulative Review Worksheets…. Be sure to look over them
You will have between 20 & 21 problems on the exam.
NOTE: for the application problems on the exam, you should know how to do all of the problems
from Sections 3.3 & 3.4 that were assigned or done in class – they are all possible exam questions
In terms of points possible, you should expect the full (like 15-22) application problems to be
worth more than the others…..
And, I almost forgot….. you are allowed to use a calculator with this test!!!!!
Practice Test continued on next page!
PRACTICE TEST QUESTIONS…..
#1-6 will be Cumulative Review problems, like it said on the front page of this Practice Test.
For the following application problems, select & define a variable and other unknown (do not
solve):
7) Angle A and Angle B are complementary angles. The measure of Angle B is 3 degrees less
than twice the measure of Angle A. Find the measure of Angle A and Angle B.
Angle A = __________
Angle B = __________
8)
The length of a rectangular road sign is 2 feet less than three times its width. Find the
dimensions if the perimeter is 28 feet.
Length = __________
Width = ___________
9)
A chemist working on his doctoral degree at MIT needs 12 liters of a 50% acid solution for a
lab experiment. The stockroom has only 40% and 70% solutions. How much of each solution
should be mixed together to form 12 liters of a 50% solution?
Liters of 40% solution = __________
Liters of 70% solution = __________
Liters of 50% solution = __________
10) A bus traveled on a level road for 3 hours at an average speed 20 miles per hour faster than it
traveled on a winding road. The time spent on the winding road was 4 hours. Find the average
speed on the level road is the entire trip was 305 miles.
Rate on level road = ___________________
Rate on winding road = ____________________
For the following application problems, the unknowns have been defined. Write the appropriate
equation for each problem (do not solve):
11) The perimeter of the following triangle is 35 meters. Find the length of each side.
12) The two angles below are supplementary angles. Find the measure of each angle.
Practice Test page 2
13) Fred invested part of his $20,000 inheritance in a mutual funds account that pays 7% simple
interest yearly and the rest in a certificate of deposit that pays 9% simple interest yearly. At the
end of one year, his investments earned $1550. Find the amount he invested at each rate.
Mutual funds account
Certificate of deposit
Principal
x
20,000 - x
Rate
7%
9%
Interest
.07x
.09 (20,000 – x)
14) Planter’s Peanut Company wants to mix 20 pounds of peanuts worth $3 a pound with cashews
worth $5 a pound in order to make an experimental mix worth $3.50 a pound. How many
pounds of cashews should be added to the peanuts?
Peanuts
Cashews
Experimental mix
Amount
x
20 - x
20
Price Rate
$3
$5
$3.50
Value
3x
5 (20 – x)
3.50 ( 20)
For the following application problems, be sure to define your variable (and other unknowns), write
and solve an equation, and answer the question(s).
15)
If the largest angle in a triangle is 5 times the measure of the smallest angle, and the middlesized angle is 20 degrees greater than twice the measure of the smallest angle. Find the three
angles.
16)
A pair of vertical angles is indicated in the following figure. Determine the measures of the
vertical angles indicated.
17)
18)
19)
20)
21)
22)
A rectangle is 8 cm longer than twice the width. If the perimeter is 88 cm, find the
dimensions of the rectangle.
A shoe rack (below) is to have three shelves including the top and bottom. The width of the
shoe rack is to be 12 inches more than the height. Find the width and height of the shoe rack
if only 96 inches of lumber is available.
Community Coffee Company wants a new flavor of Cajun coffee. How many pounds of
coffee worth $7 a pound should be added to 14 pounds of coffee worth $4 a pound to get
a mixture worth $5 a pound?
Shirley invested some money at 9% annual simple interest and $250 more than that
amount at 10% annual simple interest. If her total yearly interest was $101, how much
was invested at each rate?
Kathleen and Cade leave at the same time from the same point hiking in opposite
directions, Kathleen walking at 4 miles per hour and Cade at 5 miles per hour. How
long can they talk on their walkie-talkies if the walkie-talkies have a 20-mile radius?
How many milliliters of a 25% antibiotic solution should be added to a 10 ml container
of a 60% antibiotic solution in order to get a 30% antibiotic solution?
Practice Test Answer Key
7)
Angle A = x, Angle B = 2x – 3
11)
x + (2x + 1) + (3x – 2) = 35
8)
Width = x, Length = 3x – 2
12)
x + (3x – 10) = 180
9)
Liters of 40% solution = x,
Liters of 70% solution = 12 – x,
Liters of 50% solution = 12
13)
.07x + .09 (20,000 – x) = 1550
14)
3x + 5 (20 – x) = 3.50 (20)
10)
15)
Rate on level road = x + 20,
Rate on winding road = x
Define:
Equation:
Solve:
Answer:
x = measure of smallest angle
2x + 20 = measure of middle-sized angle
5x = measure of largest angle
x + (2x + 20) + 5x = 180
x = 20
The angles measure 20 , 60 , and 100 .
16)
Define:
Equation:
Solve:
Answer:
No definition necessary
4x – 12 = 2x + 18
x = 15
o
o
The angles measures are 48 and 48 .
17)
Define:
Equation:
Solve:
Answer:
18)
Define:
Equation:
Solve:
Answer:
19)
Define:
Equation:
Solve:
Answer:
20)
21)
22)
Define:
x = width of rectangle
2x + 8 = length of rectangle
2(x) + 2 (2x + 8) = 88
x = 12
The dimensions of the rectangle are 12 cm and 32 cm.
x = height of shoe rack
x + 12 = width of shoe rack
3 (x + 12) + 2 (x) = 96
x = 12
The height of the shoe rack is 12 inches and the width is 24 inches.
x = pounds of $7 coffee
x + 14 = pounds of coffee in mix
7x + 4(14) = 5(x + 14)
x=7
7 pounds of the $7 coffee.
Equation:
Solve:
Answer:
x = amount in 9% account
x + 250 = amount in 10% account
.09x + .10(x + 250) = 101
x = 400
$400 at 9% and $650 at 10%.
Define:
Equation:
x = time for each
4x + 5x = 20
Solve:
x=
Answer:
It would take
Define:
20
9
2 92
hours.
x = milliliters of 25% solution
x + 10 = milliliters of 30% solution
Equation: .25x + .60(10) = .30(x + 10)
Solve:
x = 60
Answer:
60 ml of 25% solution.