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1. solving equations the addition principle

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  • 1. 1.1 Solving Equations: The Addition Principle OBJECTIVES a Determine whether a given number is a solution of a given equation. b Solve equations using the addition principle. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 1
  • 2. 1.1 Solving Equations: The Addition Principle EQUATION An equation is a number sentence that says that the expressions on either side of the equals sign, =, represent the same number. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 2
  • 3. 1.1 Solving Equations: The Addition Principle Determine whether a given number is a solution of a a given equation. EXAMPLE Determine whether each equation is true, false, or neither. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 3
  • 4. 1.1 Solving Equations: The Addition Principle SOLUTION OF AN EQUATION Any replacement for the variable that makes an equation true is called a solution of the equation. To solve an equation means to find all of its solutions. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 4
  • 5. 1.1 Solving Equations: The Addition Principle Determine whether a given number is a solution of a a given equation. EXAMPLE Determine whether 19 is a solution of 7x = 141. Since the left-hand and the right-hand sides are not the same, 19 is not a solution of the equation. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 5
  • 6. 1.1 Solving Equations: The Addition Principle EQUIVALENT EQUATIONS Equations with the same solutions are called equivalent equations. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 6
  • 7. 1.1 Solving Equations: The Addition Principle THE ADDITION PRINCIPLE FOR EQUATIONS Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 7
  • 8. 1.1 Solving Equations: The Addition Principle b Solve equations using the addition principle. EXAMPLE Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 8
  • 9. 1.1 Solving Equations: The Addition Principle b Solve equations using the addition principle. EXAMPLE Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 9
  • 10. 1.1 Solving Equations: The Addition Principle b Solve equations using the addition principle. EXAMPLE 7 Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 10
  • 11. 1.1 Solving Equations: The Addition Principle b Solve equations using the addition principle. EXAMPLE 7 Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 11