Sec. 1.5 –
Linear Equations & Inequalities
The
formal
definition of a linear equation from the book is :
Definition :
A linear equation in one variable is an equation that is
equivalent
to one of
the form ax + b = 0 , where a and b are real numbers, and a
≠
0 .
The word
equivalent
means another equation that has the same solution.
You should know how to solve any linear equations for the value of the variable that
makes it true. Techniques to use are combining like terms, using the addition property or
multiplication property of equality to get (simpler) equivalent equations (or “subtraction”
and “division” properties ??), clear the equation of fractions, etc.
An important concept brought out in this section, which will be repeated frequently in
later sections, is the relationship between the following three ideas :
1)
Solving an equation algebraically (to find the value(s) that make it true).
2)
Solving the equation graphically (to find the value(s) that make it true).
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 Spring '10
 stean
 Elementary algebra, Linear Equations & Inequalities

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