Your Algebra Homework Can Now Be Easier Than Ever!

Linear Equations in One Variable


Equation- a mathematical expression
that states that two (2) quantities are

** Use the equal sign (=) **

ex. 2 + 8 = 10
ex. 10 – 5 = 5

Type of Equation

Linear Equation in one variable - equation
that can be written in the form . . .

ax + b = c or ax = b

where a, b, c are constants and a 0

Linear Equation = First degree equation

** First degree because the highest
power on the variable is one . **
Solution to a Linear Equation

Solution- the value that can be
substituted for the unknown variable so
the resulting statement is true

Solution Set- the set of all solutions

Used to show solution set { }
To determine if a value is a

1. Substitute the value in for the unknown

2. Simplify both sides of the equation.

3. Does it make a true statement (both
sides of the equation are equal)?
• If yes, then the value is a solution.
• If no, then the value is not a

For example .

ex. 4 is a solution to 3x – 5 = 7

3x – 5 = 7
3(4) – 5 = 7
12 – 5 = 7
7 = 7
True Statement

ex. 2 is not a solution to 5x – 9 = 6

5x – 9 = 6
5(2) – 9 = 6
10 – 9 = 6
1 6
False Statement

Determine if the numbers are
to the following

How to Solve Linear Equations

• Isolate the variable on one side of the
equation so that the number that is the
solution is on the other side.


variable left-hand side
solution right-hand side

**But it does not matter which side is which **
Think of = sign as a scale that
keeps everything balanced

* What you do to one side you must do to the
other in order to keep the equation balanced *

Steps To Solve Linear Equations

1. Simplify both sides of the equation as much as possible

Clear Fractions
• Combine like terms
• Use distributive property
– 3(x + 5)

2. Move all variable terms to one side of the equation and
all constant terms to the other side of the equation

• Variables-left side of equation, Constants-right side of
• Use addition or subtraction (Do opposite of what is given)

3. Isolate variable (make the coefficient 1) on one side of
equation and solution on the other side

• Use multiplication or division (Do opposite of what is given)

4. Check that your solution is correct by substituting it
back into original equation to see if it makes a true
statement (both sides equal the same value)
How to remember rules !

Prev Next

Start solving your Algebra Problems in next 5 minutes!

Algebra Helper
Download (and optional CD)

Only $39.99

Click to Buy Now:

OR is an authorized reseller
of goods provided by Sofmath

Attention: We are currently running a special promotional offer for visitors -- if you order Algebra Helper by midnight of August 19th you will pay only $39.99 instead of our regular price of $74.99 -- this is $35 in savings ! In order to take advantage of this offer, you need to order by clicking on one of the buttons on the left, not through our regular order page.

If you order now you will also receive 30 minute live session from for a 1$!

You Will Learn Algebra Better - Guaranteed!

Just take a look how incredibly simple Algebra Helper is:

Step 1 : Enter your homework problem in an easy WYSIWYG (What you see is what you get) algebra editor:

Step 2 : Let Algebra Helper solve it:

Step 3 : Ask for an explanation for the steps you don't understand:

Algebra Helper can solve problems in all the following areas:

  • simplification of algebraic expressions (operations with polynomials (simplifying, degree, synthetic division...), exponential expressions, fractions and roots (radicals), absolute values)
  • factoring and expanding expressions
  • finding LCM and GCF
  • (simplifying, rationalizing complex denominators...)
  • solving linear, quadratic and many other equations and inequalities (including basic logarithmic and exponential equations)
  • solving a system of two and three linear equations (including Cramer's rule)
  • graphing curves (lines, parabolas, hyperbolas, circles, ellipses, equation and inequality solutions)
  • graphing general functions
  • operations with functions (composition, inverse, range, domain...)
  • simplifying logarithms
  • basic geometry and trigonometry (similarity, calculating trig functions, right triangle...)
  • arithmetic and other pre-algebra topics (ratios, proportions, measurements...)


Algebra Helper
Download (and optional CD)

Only $39.99

Click to Buy Now:

OR is an authorized reseller
of goods provided by Sofmath
Check out our demo!
"It really helped me with my homework.  I was stuck on some problems and your software walked me step by step through the process..."
C. Sievert, KY
19179 Blanco #105-234
San Antonio, TX 78258
Phone: (512) 788-5675
Fax: (512) 519-1805

Home   : :   Features   : :   Demo   : :   FAQ   : :   Order

Copyright © 2004-2022, Algebra-Answer.Com.  All rights reserved.