<< Chapter < Page Chapter >> Page >
This module is from Elementary Algebra by Denny Burzynski and Wade Ellis, Jr. In this chapter, the emphasis is on the mechanics of equation solving, which clearly explains how to isolate a variable. The goal is to help the student feel more comfortable with solving applied problems. Ample opportunity is provided for the student to practice translating words to symbols, which is an important part of the "Five-Step Method" of solving applied problems (discussed in modules (<link document="m21980"/>) and (<link document="m21979"/>)). This module contains the proficiency exam for the chapter "Solving Linear Equations and Inequalities".

Proficiency exam

Solve the equations and inequalities for the following problems.

( [link] ) 6 a + 3 = 10

a = 13 6

Got questions? Get instant answers now!

( [link] ) 3 a 8 = 6

a = 16

Got questions? Get instant answers now!

( [link] ) x 2 + 16 = 11

x = 10

Got questions? Get instant answers now!

( [link] ) y 9 4 + 6 = 3

y = 3

Got questions? Get instant answers now!

( [link] ) 5 b 8 = 7 b + 12

b = 10

Got questions? Get instant answers now!

( [link] ) 3 ( 2 a + 4 ) = 2 ( a + 3 )

a = 3 2

Got questions? Get instant answers now!

( [link] ) 5 ( y + 3 ) ( 2 y 1 ) = 5

y = 7

Got questions? Get instant answers now!

( [link] ) ( 4 x + 3 5 x ) 3 = 2

x = 9

Got questions? Get instant answers now!

( [link] ) Solve 2 p 6 q + 1 = 2 for p .

p = 6 q 3 2

Got questions? Get instant answers now!

( [link] ) Solve p = n R T V for T .

T = V p n R

Got questions? Get instant answers now!

( [link] ) 3 a + 1 < 5

a > 2

Got questions? Get instant answers now!

( [link] ) 2 ( a + 6 ) a + 11

a 23

Got questions? Get instant answers now!

( [link] ) 4 x 3 3 > 9

x < 6

Got questions? Get instant answers now!

Translate the phrases or sentences into mathematical expressions or equations for the following problems.

( [link] ) Three added to twice a number.

3 + 2 a

Got questions? Get instant answers now!

( [link] ) Eight less than two thirds of a number.

2 3 x 8

Got questions? Get instant answers now!

( [link] ) Two more than four times a number.

2 + 4 x

Got questions? Get instant answers now!

( [link] ) A number is added to itself and this result is multiplied by the original number cubed. The result is twelve.

2 x ( x 3 ) = 12

Got questions? Get instant answers now!

( [link] ) A number is decreased by five and that result is divided by ten more than the original number. The result is six times the original number.

x 5 x + 10 = 6 x

Got questions? Get instant answers now!

Solve the following problems.

( [link] ) Eight percent of a number is 1.2 . What is the number?

x = 15

Got questions? Get instant answers now!

( [link] ) Three consecutive odd integers sum to 38. What are they?

There are no three consecutive odd integers that add to 38.

Got questions? Get instant answers now!

( [link] ) Five more than three times a number is strictly less than seventeen. What is the number?

x < 4

Got questions? Get instant answers now!

( [link] ) Solve y = 8 x 11 for y if x = 3 , and write the solution as an ordered pair.

( 3 , 13 )

Got questions? Get instant answers now!

Questions & Answers

Three charges q_{1}=+3\mu C, q_{2}=+6\mu C and q_{3}=+8\mu C are located at (2,0)m (0,0)m and (0,3) coordinates respectively. Find the magnitude and direction acted upon q_{2} by the two other charges.Draw the correct graphical illustration of the problem above showing the direction of all forces.
Kate Reply
To solve this problem, we need to first find the net force acting on charge q_{2}. The magnitude of the force exerted by q_{1} on q_{2} is given by F=\frac{kq_{1}q_{2}}{r^{2}} where k is the Coulomb constant, q_{1} and q_{2} are the charges of the particles, and r is the distance between them.
Muhammed
What is the direction and net electric force on q_{1}= 5µC located at (0,4)r due to charges q_{2}=7mu located at (0,0)m and q_{3}=3\mu C located at (4,0)m?
Kate Reply
what is the change in momentum of a body?
Eunice Reply
what is a capacitor?
Raymond Reply
Capacitor is a separation of opposite charges using an insulator of very small dimension between them. Capacitor is used for allowing an AC (alternating current) to pass while a DC (direct current) is blocked.
Gautam
A motor travelling at 72km/m on sighting a stop sign applying the breaks such that under constant deaccelerate in the meters of 50 metres what is the magnitude of the accelerate
Maria Reply
please solve
Sharon
8m/s²
Aishat
What is Thermodynamics
Muordit
velocity can be 72 km/h in question. 72 km/h=20 m/s, v^2=2.a.x , 20^2=2.a.50, a=4 m/s^2.
Mehmet
A boat travels due east at a speed of 40meter per seconds across a river flowing due south at 30meter per seconds. what is the resultant speed of the boat
Saheed Reply
50 m/s due south east
Someone
which has a higher temperature, 1cup of boiling water or 1teapot of boiling water which can transfer more heat 1cup of boiling water or 1 teapot of boiling water explain your . answer
Ramon Reply
I believe temperature being an intensive property does not change for any amount of boiling water whereas heat being an extensive property changes with amount/size of the system.
Someone
Scratch that
Someone
temperature for any amount of water to boil at ntp is 100⁰C (it is a state function and and intensive property) and it depends both will give same amount of heat because the surface available for heat transfer is greater in case of the kettle as well as the heat stored in it but if you talk.....
Someone
about the amount of heat stored in the system then in that case since the mass of water in the kettle is greater so more energy is required to raise the temperature b/c more molecules of water are present in the kettle
Someone
definitely of physics
Haryormhidey Reply
how many start and codon
Esrael Reply
what is field
Felix Reply
physics, biology and chemistry this is my Field
ALIYU
field is a region of space under the influence of some physical properties
Collete
what is ogarnic chemistry
WISDOM Reply
determine the slope giving that 3y+ 2x-14=0
WISDOM
Another formula for Acceleration
Belty Reply
a=v/t. a=f/m a
IHUMA
innocent
Adah
pratica A on solution of hydro chloric acid,B is a solution containing 0.5000 mole ofsodium chlorid per dm³,put A in the burret and titrate 20.00 or 25.00cm³ portion of B using melting orange as the indicator. record the deside of your burret tabulate the burret reading and calculate the average volume of acid used?
Nassze Reply
how do lnternal energy measures
Esrael
Two bodies attract each other electrically. Do they both have to be charged? Answer the same question if the bodies repel one another.
JALLAH Reply
No. According to Isac Newtons law. this two bodies maybe you and the wall beside you. Attracting depends on the mass och each body and distance between them.
Dlovan
Are you really asking if two bodies have to be charged to be influenced by Coulombs Law?
Robert
like charges repel while unlike charges atttact
Raymond
What is specific heat capacity
Destiny Reply
Specific heat capacity is a measure of the amount of energy required to raise the temperature of a substance by one degree Celsius (or Kelvin). It is measured in Joules per kilogram per degree Celsius (J/kg°C).
AI-Robot
specific heat capacity is the amount of energy needed to raise the temperature of a substance by one degree Celsius or kelvin
ROKEEB
Got questions? Join the online conversation and get instant answers!
Jobilize.com Reply

Get Jobilize Job Search Mobile App in your pocket Now!

Get it on Google Play Download on the App Store Now




Source:  OpenStax, Elementary algebra. OpenStax CNX. May 08, 2009 Download for free at http://cnx.org/content/col10614/1.3
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Elementary algebra' conversation and receive update notifications?

Ask