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Chapter 2 : EQUATIONS AND INEQUALITIES

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At the end of this lesson, student should be able to: …

At the end of this lesson, student should be able to:
Recognize the general form for linear equations
Solve the linear equations
Recognize the general form for quadratic equations
Solve quadratic equations using the technique of factorization, quadratic formula and completing the square
Solve simultaneous equations for 2 x 2 systems using substitution and elimination methods
Identify the notation of inequalities and properties of inequalities
Express the solution in inequality notation, real number line, interval notation or sets notation
Solve linear inequalities
Identify the absolute value
Solve the absolute value equations

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• 1. LEARNING OUTCOMES • At the end of this lesson, student should be able to: • Recognize the general form for linear equations • Solve the linear equations • Recognize the general form for quadratic equations • Solve quadratic equations using the technique of factorization, quadratic formula and completing the square • Solve simultaneous equations for 2 x 2 systems using substitution and elimination methods • Identify the notation of inequalities and properties of inequalities • Express the solution in inequality notation, real number line, interval notation or sets notation • Solve linear inequalities • Identify the absolute value • Solve the absolute value equations MTH 1012 2
• 2. Chapter 2 Simultaneous Equation for 2 x 2 system Linear Equation Quadratic Equation Inequalities Absolute value Addition and subtraction Multiplication and division Factorization Completing the square Formulae Substitution Elimination Linear Inequality Quadratic Inequality
• 3. Addition and subtraction Multiplication and division Linear Equation
• 4. Quadratic EquationFactorization Completing the square Formulae If a = 1
• 5. QUESTIONS : 
• 6. Simultaneous Equation for 2 x 2 system Substitution Elimination
• 7. QUESTIONS : 
• 8. Inequalities Linear Inequality Quadratic Inequality Single Inequality Double Inequality
• 9. QUESTIONS : 
• 10. Absolute value , 0 , 0 x if x x x if x • Properties of absolute value abbaiii aaii ai )( )( 0)( • Absolute value equations or x = -a with a is real number positive axax
• 11. Example :
• 12. QUESTIONS: 
• 13. THE END Please Do a Lot of Exercises THANK YOU JUST REMEMBER: