Unit 2  Objective 4  Solving First Degree Equations
An equation is an algebraic statement. It asserts that two algebraic
expressions are equal. An equation that is true for only some values of the variables and
not true for the other values is a conditional equation. For example 4x =  24 is true
only when x =  6. To solve an equation we find the values of the unknown that satisfies it.
You must perform the same operation on both sides of the equations.
Operations for changing equations into equivalent equations:
 Add or subtract the same amount to both sides of the equation
 Multiply or divide both sides of the equation by the same amount
provided you do not divide both sides by 0.
Examples:
1. 
x + 7 = 15 


x + 7  7 = 15 
7 
(subtract 7 from both sides of the
equation) 

x = 8 



2. 
3x = 15 



(divide both sides of the equation
by 3) 

x = 5 


Not all equations are this easy so we must have some procedures for
solving equations.
Procedures for Solving Equations
 Eliminate fractions. Multiply both sides of the equation by
a common denominator (This step is optional but highly recommended).
 Remove grouping symbols. Perform the indicated
multiplications and remove parenthesis, brackets, and braces.
 Combine like terms wherever possible.
 Get all terms containing the variable on one side of the
equation. All other terms should be placed on the other side of the equation.
 Divide both sides by the coefficient of the variable. (You may have
to factor the variable to see the coefficient)
 Check your answer in the original equation (optional).
Examples:
1. 



2. 


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