<< 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

A golfer on a fairway is 70 m away from the green, which sits below the level of the fairway by 20 m. If the golfer hits the ball at an angle of 40° with an initial speed of 20 m/s, how close to the green does she come?
Aislinn Reply
cm
tijani
what is titration
John Reply
what is physics
Siyaka Reply
A mouse of mass 200 g falls 100 m down a vertical mine shaft and lands at the bottom with a speed of 8.0 m/s. During its fall, how much work is done on the mouse by air resistance
Jude Reply
Can you compute that for me. Ty
Jude
what is the dimension formula of energy?
David Reply
what is viscosity?
David
what is inorganic
emma Reply
what is chemistry
Youesf Reply
what is inorganic
emma
Chemistry is a branch of science that deals with the study of matter,it composition,it structure and the changes it undergoes
Adjei
please, I'm a physics student and I need help in physics
Adjanou
chemistry could also be understood like the sexual attraction/repulsion of the male and female elements. the reaction varies depending on the energy differences of each given gender. + masculine -female.
Pedro
A ball is thrown straight up.it passes a 2.0m high window 7.50 m off the ground on it path up and takes 1.30 s to go past the window.what was the ball initial velocity
Krampah Reply
2. A sled plus passenger with total mass 50 kg is pulled 20 m across the snow (0.20) at constant velocity by a force directed 25° above the horizontal. Calculate (a) the work of the applied force, (b) the work of friction, and (c) the total work.
Sahid Reply
you have been hired as an espert witness in a court case involving an automobile accident. the accident involved car A of mass 1500kg which crashed into stationary car B of mass 1100kg. the driver of car A applied his brakes 15 m before he skidded and crashed into car B. after the collision, car A s
Samuel Reply
can someone explain to me, an ignorant high school student, why the trend of the graph doesn't follow the fact that the higher frequency a sound wave is, the more power it is, hence, making me think the phons output would follow this general trend?
Joseph Reply
Nevermind i just realied that the graph is the phons output for a person with normal hearing and not just the phons output of the sound waves power, I should read the entire thing next time
Joseph
Follow up question, does anyone know where I can find a graph that accuretly depicts the actual relative "power" output of sound over its frequency instead of just humans hearing
Joseph
"Generation of electrical energy from sound energy | IEEE Conference Publication | IEEE Xplore" ***ieeexplore.ieee.org/document/7150687?reload=true
Ryan
what's motion
Maurice Reply
what are the types of wave
Maurice
answer
Magreth
progressive wave
Magreth
hello friend how are you
Muhammad Reply
fine, how about you?
Mohammed
hi
Mujahid
A string is 3.00 m long with a mass of 5.00 g. The string is held taut with a tension of 500.00 N applied to the string. A pulse is sent down the string. How long does it take the pulse to travel the 3.00 m of the string?
yasuo Reply
Who can show me the full solution in this problem?
Reofrir Reply
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