Skip to content Skip to navigation

Connexions

You are here: Home » Content » Solving Linear Equations and Inequalities: Proficiency Exam

Navigation

Lenses

What is a lens?

Definition of a lens

Lenses

A lens is a custom view of Connexions content. You can think of it as a fancy kind of list that will let you see Connexions through the eyes of organizations and people you trust.

What is in a lens?

Lens makers point to Connexions materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

Who can create a lens?

Any individual Connexions member, a community, or a respected organization.

What are tags? tag icon

Tags are descriptors added by lens makers to help label content, attaching a vocabulary that is meaningful in the context of the lens.

This content is ...

Endorsed by Endorsed (What does "Endorsed by" mean?)

This content has been endorsed by the organizations listed. Click each link for a list of all content endorsed by the organization.
  • CCOT Project display tagshide tags

    This module is included in aLens by: CC Open Textbook ProjectAs a part of collection:"Elementary Algebra"

    Click the "CCOT Project" link to see all content they endorse.

    Click the tag icon tag icon to display tags associated with this content.

Affiliated with (What does "Affiliated with" mean?)

This content is either by members of the organizations listed or about topics related to the organizations listed. Click each link to see a list of all content affiliated with the organization.
  • OrangeGrove display tagshide tags

    This module is included inLens: Florida Orange Grove Textbooks
    By: Florida Orange GroveAs a part of collection:"Elementary Algebra"

    Click the "OrangeGrove" link to see all content affiliated with them.

    Click the tag icon tag icon to display tags associated with this content.

  • Featured Content display tagshide tags

    This module is included inLens: Connexions Featured Content
    By: ConnexionsAs a part of collection:"Elementary Algebra"

    Comments:

    "Elementary Algebra covers traditional topics studied in a modern elementary algebra course. Written by Denny Burzynski and Wade Ellis, it is intended for both first-time students and those […]"

    Click the "Featured Content" link to see all content affiliated with them.

    Click the tag icon tag icon to display tags associated with this content.

Also in these lenses

  • SHN CNX Workshop display tagshide tags

    This module is included inLens: Stategic Horizon Network Workshop on Alternative Couseware -- Connexions Session
    By: ConnexionsAs a part of collection:"Elementary Algebra"

    Comments:

    "This textbook by traditionally published authors, Wade and Burzynski, was aquired by the Community College Open Textbook project and put into Connexions for the benefit of the community."

    Click the "SHN CNX Workshop" link to see all content selected in this lens.

    Click the tag icon tag icon to display tags associated with this content.

Recently Viewed

This feature requires Javascript to be enabled.

Tags

(What is a tag?)

These tags come from the endorsement, affiliation, and other lenses that include this content.

Solving Linear Equations and Inequalities: Proficiency Exam

Module by: Wade Ellis, Denny Burzynski. E-mail the authors

User rating (How does the rating system work?)
Ratings

Ratings allow you to judge the quality of modules. If other users have ranked the module then its average rating is displayed below. Ratings are calculated on a scale from one star (Poor) to five stars (Excellent).

How to rate a module

Hover over the star that corresponds to the rating you wish to assign. Click on the star to add your rating. Your rating should be based on the quality of the content. You must have an account and be logged in to rate content.

:
(0 ratings)

Summary: 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 ((Reference)) and ((Reference))). This module contains the proficiency exam for the chapter "Solving Linear Equations and Inequalities".

Note: Your browser may not currently support MathML. See our browser support page for additional details. You can always view the correct math in the PDF version.

Proficiency Exam

Solve the equations and inequalities for the following problems.

Exercise 1

((Reference)) x+8=14 x+8=14

Solution

x=6 x=6

Exercise 2

((Reference)) 6a+3=−10 6a+3=−10

Solution

a= −13 6 a= −13 6

Exercise 3

((Reference)) −3a 8 =6 −3a 8 =6

Solution

a=−16 a=−16

Exercise 4

((Reference)) x −2 +16=11 x −2 +16=11

Solution

x=10 x=10

Exercise 5

((Reference)) y−9 4 +6=3 y−9 4 +6=3

Solution

y=−3 y=−3

Exercise 6

((Reference)) 5b−8=7b+12 5b−8=7b+12

Solution

b=−10 b=−10

Exercise 7

((Reference)) 3(2a+4)=2(a+3) 3(2a+4)=2(a+3)

Solution

a=− 3 2 a=− 3 2

Exercise 8

((Reference)) 5(y+3)−(2y−1)=−5 5(y+3)−(2y−1)=−5

Solution

y=−7 y=−7

Exercise 9

((Reference)) −(4x+3−5x) 3 =2 −(4x+3−5x) 3 =2

Solution

x=9 x=9

Exercise 10

((Reference)) Solve 2p−6q+1=−2 for p 2p−6q+1=−2 for p .

Solution

p= 6q−3 2 p= 6q−3 2

Exercise 11

((Reference)) Solve p= nRT V  for T p= nRT V  for T .

Solution

T= Vp nR T= Vp nR

Exercise 12

((Reference)) Solve The sum of triangle and square over star is equal to delta. for △ △ .

Solution

The triangle is equal to the product of star and delta, minus square.

Exercise 13

((Reference)) a−8≥4 a−8≥4

Solution

a≥12 a≥12

Exercise 14

((Reference)) −3a+1<−5 −3a+1<−5

Solution

a>2 a>2

Exercise 15

((Reference)) −2(a+6)≤−a+11 −2(a+6)≤−a+11

Solution

a≥−23 a≥−23

Exercise 16

((Reference)) −4x−3 3 >−9 −4x−3 3 >−9

Solution

x<6 x<6

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

Exercise 17

((Reference)) Three added to twice a number.

Solution

3+2a 3+2a

Exercise 18

((Reference)) Eight less than two thirds of a number.

Solution

2 3 x−8 2 3 x−8

Exercise 19

((Reference))Two more than four times a number.

Solution

2+4x 2+4x

Exercise 20

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

Solution

2x( x 3 )=12 2x( x 3 )=12

Exercise 21

((Reference)) 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.

Solution

x−5 x+10 =6x x−5 x+10 =6x

Solve the following problems.

Exercise 22

((Reference)) Eight percent of a number is 1.2 1.2 . What is the number?

Solution

x=15 x=15

Exercise 23

((Reference)) Three consecutive odd integers sum to 38. What are they?

Solution

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

Exercise 24

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

Solution

x<4 x<4

Exercise 25

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

Solution

( 3,13 ) ( 3,13 )

Content actions

Give Feedback:

E-mail the module authors | Rate module ( How does the rating system work?)

Rating system

Ratings

Ratings allow you to judge the quality of modules. If other users have ranked the module then its average rating is displayed below. Ratings are calculated on a scale from one star (Poor) to five stars (Excellent).

How to rate a module

Hover over the star that corresponds to the rating you wish to assign. Click on the star to add your rating. Your rating should be based on the quality of the content. You must have an account and be logged in to rate content.

(0 ratings)

Download:

Module PDF

Add module to:

My Favorites (?)

'My Favorites' is a special kind of lens which you can use to bookmark modules and collections directly in Connexions. 'My Favorites' can only be seen by you, and collections saved in 'My Favorites' can remember the last module you were on. You need a Connexions account to use 'My Favorites'.

| A lens (?)

Definition of a lens

Lenses

A lens is a custom view of Connexions content. You can think of it as a fancy kind of list that will let you see Connexions through the eyes of organizations and people you trust.

What is in a lens?

Lens makers point to Connexions materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

Who can create a lens?

Any individual Connexions member, a community, or a respected organization.

What are tags? tag icon

Tags are descriptors added by lens makers to help label content, attaching a vocabulary that is meaningful in the context of the lens.

| External bookmarks