# Section 4 by opza81

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```									Section 1.2 Linear Equations & Rational Equations
A. Linear Equation:

(Goal in solving a linear equation is to isolate the variable on one side of the equation.)

Ex 1) Solve each equation:
a) 3( x  4)  4( x  3)  x  3  ( x  2)

b) 3( x  2)  7  (3x  1)  0

c)   16  2( x  1)  2 x
x 1      x 1
d)         1
4         7

B. Rational Equation:

(Goal in solving a rational equation is to isolate the variable on one side of the equation.)

Ex 2) First determine whether there are any restrictions on x, and then solve for x. Then state whether
the original equation is classified as conditional, identity, or inconsistent.
5 8 1 1
a)        
2 x 9 18 3x
2     3   4
b)              2
x  1 x 1 x 1

5          3         12 x  19
Ex 3) Find all values of x satisfying the given conditions: y1           , y2      , y 3 2           , and
x4        x3       x  7 x  12
y1  y2  y3

Ex 4) Complete #105 page 115 in our textbook: A company wants to increase the 10% peroxide
content of its product by adding pure peroxide (100% peroxide). If x liters of pure peroxide are added to
x  0.1(500)
500 liters of its 10% solution, the concentration, C, of the new mixture is given by C               .
x  500
How many liters of pure peroxide should be added to produce a new product that is 28% peroxide?

Assignment: Complete Section 1.2 online MyMathLab homework. Keep a neat hand-written paper record of your work for each
problem so that you may use this as a record for your study and preparation of quizzes and exams.

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