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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 objectives of the chapter "Solving Linear Equations and Inequalities".

After completing this chapter, you should

    Solving equations ( [link] )

  • be able to identify various types of equations
  • understand the meaning of solutions and equivalent equations
  • be able to solve equations of the form x + a = b and x - a = b .
  • be familiar with and able to solve literal equation

    Solving equations of the form ax = b And x a = b ( [link] )

  • understand the equality property of addition and multiplication
  • be able to solve equations of the form ax = b and x a = b

    Further techniques in equation solving ( [link] )

  • be comfortable with combining techniques in equation solving
  • be able to recognize identities and contradictions

    Applications i - translating from verbal to mathematical expressions ( [link] )

  • be able to translate from verbal to mathematical expressions

    Applications ii - solving problems ( [link] )

  • be able to solve various applied problems

    Linear inequalities in one variable ( [link] )

  • understand the meaning of inequalities
  • be able to recognize linear inequalities
  • know, and be able to work with, the algebra of linear inequalities and with compound inequalities

    Linear inequalities in two variables ( [link] )

  • be able to identify the solution of a linear equation in two variables
  • know that solutions to linear equations in two variables can be written as ordered pairs

Questions & Answers

how to study physic and understand
Ewa Reply
what is conservative force with examples
Moses
what is work
Fredrick Reply
the transfer of energy by a force that causes an object to be displaced; the product of the component of the force in the direction of the displacement and the magnitude of the displacement
AI-Robot
why is it from light to gravity
Esther Reply
difference between model and theory
Esther
Is the ship moving at a constant velocity?
Kamogelo Reply
The full note of modern physics
aluet Reply
introduction to applications of nuclear physics
aluet Reply
the explanation is not in full details
Moses Reply
I need more explanation or all about kinematics
Moses
yes
zephaniah
I need more explanation or all about nuclear physics
aluet
Show that the equal masses particles emarge from collision at right angle by making explicit used of fact that momentum is a vector quantity
Muhammad Reply
yh
Isaac
A wave is described by the function D(x,t)=(1.6cm) sin[(1.2cm^-1(x+6.8cm/st] what are:a.Amplitude b. wavelength c. wave number d. frequency e. period f. velocity of speed.
Majok Reply
what is frontier of physics
Somto Reply
A body is projected upward at an angle 45° 18minutes with the horizontal with an initial speed of 40km per second. In hoe many seconds will the body reach the ground then how far from the point of projection will it strike. At what angle will the horizontal will strike
Gufraan Reply
Suppose hydrogen and oxygen are diffusing through air. A small amount of each is released simultaneously. How much time passes before the hydrogen is 1.00 s ahead of the oxygen? Such differences in arrival times are used as an analytical tool in gas chromatography.
Ezekiel Reply
please explain
Samuel
what's the definition of physics
Mobolaji Reply
what is physics
Nangun Reply
the science concerned with describing the interactions of energy, matter, space, and time; it is especially interested in what fundamental mechanisms underlie every phenomenon
AI-Robot
what is isotopes
Nangun Reply
nuclei having the same Z and different N s
AI-Robot
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Source:  OpenStax, Elementary algebra. OpenStax CNX. May 08, 2009 Download for free at http://cnx.org/content/col10614/1.3
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