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 Dependent Variable

 Number of inequalities to solve: 23456789
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# Algebraic Expression

1.3 Linear Equations

An equation is two expressions that are equal (same).
equal =>" = "

Examples Linear equations have linear expressions.
Examples More Algebraic Properties

Identity Property Examples Examples  Inverse Property Examples Examples  Equation Properties
Addition/Subtraction property of equality

If a =b then If a =b then Multiplication/Division property of equality

 If a =b then Note : c ≠ 0 If a =b then Using the inverse property with the equality properties, we can solve basic equations.

Example or or Example Example or Example Example When we have multiplication and addition in a problem.
Example or Note: Which seems easier?

Examples Examples Before moving terms, we should simplify the expressions first.
Examples Solving
1. Simplify each side of the equation.
2. Move terms by adding or subtracting
3. Divide by the coefficient

Examples Homework:
Solve the equations. 1.4 Eliminating Denominators
Fraction: What is the operation for the fraction?

What is the inverse operation?

To eliminate denominators, we multiply by a common denominator.

A common denominator (C.D.) can be found by multiplying the different denominators
together.
Note: This may not be the least common denominator.

Example Different denominators :3 and 5 multplying both sides by the C. D. Distributing Simplifying Now solve the linear equation Example Example  Example Example  Homework: 