MATH10-1 Lecture 9rev. - LINEAR EQUATIONS IN ONE VARIABLE AND APPLICATIONS MATH10-1 COLLEGE ALGEBRA GENERAL OBJECTIVE At the end of the lesson the

# MATH10-1 Lecture 9rev. - LINEAR EQUATIONS IN ONE VARIABLE...

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MATH10-1 COLLEGE ALGEBRA LINEAR EQUATIONS IN ONE VARIABLE AND APPLICATIONS GENERAL OBJECTIVE Classify equations as linear, fractional, or rational, Solve linear equations, Solve equations leading to the form ax + b = 0, and Solve application problems involving linear equations by developing mathematical models for real-life problems. At the end of the lesson the students are expected to: TODAY’S OBJECTIVE Identify an equation, Classify equations as identity, conditional or equivalent, Distinguish a consistent from an inconsistent equation, Enumerate the properties of equality. At the end of the lesson the students are expected to: DEFINITION EQUATION KINDS OF EQUATIONS 2  Two equations with exactly the same solutions are called equivalent equations. Example: The following are equivalent equations. 4 . c 22 2 5 . b 20 5 . a x x x  EXAMPLEDetermine whether the given equation is an identity or aconditional equation. 15 For all real numbers a , b , and c 1 . Addition Property of Equality If a = b then a + c = b + c 2 . Subtraction Property of Equality If a = b then a – c = b – c 3 . Multiplication Property of Equality If a = b then a c = b c 4 . Division Property of Equality If a = b then PROPERTIES OF EQUALITY 0 where c c b c a TODAY’S OBJECTIVE Define linear equations in one variable, Determine the difference between linear and nonlinear equations, Enumerate the steps in solving linear equations, Solve linear equations and equations involving fractions, Solve rational equations which are reducible to linear equations, Define extraneous solution. At the end of the lesson the students are expected to: RECALL An identity equation is an equation that is true for any number substituted to the variable. An equation is a statement that two mathematical expressions are equivalent or equal. A conditional equation is an equation that is true only for certain values of the unknown. Two equations with exactly the same solutions are called equivalent equations. An inconsistent equation is an equation that has no solution. A consistent equation is an equation that has a solution. DEFINITION  #### You've reached the end of your free preview.

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