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Solving Equations by by Solving Equations 2-1 2-1 Adding or Subtracting Adding or Subtracting Warm Up Lesson Presentation Lesson Quiz Holt Algebra 1 Solving Equations by 2-1 Adding or Subtracting Objective Solve one-step equations in one variable by using addition, subtraction, multiplication or division. Holt Algebra 1 Solving Equations by 2-1 Adding or Subtracting Vocabulary Operation Inverse operation equation solution of an equation Holt Algebra 1 Solving Equations by 2-1 Adding or Subtracting Mathematical Operation: A process performed on two values. + - x / Inverse Operation: An operation that undoes another operation Holt Algebra 1 Solving Equations by 2-1 Adding or Subtracting Equations vs. expressions • Expression: a grouping of numbers/variables and operations An equation is a mathematical statement that two expressions are equal. Holt Algebra 1 Solving Equations by 2-1 Adding or Subtracting A solution of an equation is a value of the variable that makes the equation true. Holt Algebra 1 Solving Equations by 2-1 Adding or Subtracting GOLDEN RULE OF EQUATIONS You can perform any operation on one side of an equation as long as you perform the exact same operation on the other side. Holt Algebra 1 Solving Equations by 2-1 Adding or Subtracting An equation is like a balanced scale. To keep the balance, perform the same operation on both sides. Holt Algebra 1 Solving Equations by 2-1 Adding or Subtracting Some equations contain variables. Example: x + 2 = 5 SOLUTION: any value that makes an equation a true statement Holt Algebra 1 Solving Equations by 2-1 Adding or Subtracting • To find solutions, isolate the variable. • A variable is isolated when it appears by itself on one side of an equation, and not at all on the other side. x=3 Holt Algebra 1 Solving Equations by 2-1 Adding or Subtracting Isolate a variable by using inverse operations which "undo" operations on the variable. x+2=5 Holt Algebra 1 Solving Equations by 2-1 Adding or Subtracting 3x = 18 Holt Algebra 1 Solving Equations by 2-1 Adding or Subtracting x/2 = 10 Holt Algebra 1 Solving Equations by 2-1 Adding or Subtracting REMEMBER! ½x=5 Dividing by a number is the same as multiplying by its reciprocal. Holt Algebra 1