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CHAPTER 2.6

CHAPTER 2.6. ADDITION, SUBTRACTION, MULTIPLICATION, AND DIVISION PROPERTIES OF EQUALITY. ADDITION AND SUBTRACTION PROPERTIES OF EQUALITY. Let a, b, and c represent algebraic expressions Addition property of equality: If a = b, then a + c = b + c

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CHAPTER 2.6

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  1. CHAPTER 2.6 ADDITION, SUBTRACTION, MULTIPLICATION, AND DIVISION PROPERTIES OF EQUALITY

  2. ADDITION AND SUBTRACTION PROPERTIES OF EQUALITY • Let a, b, and c represent algebraic expressions • Addition property of equality: If a = b, then a + c = b + c • Subtraction property of equality: If a = b, then a – c = b -c

  3. APPLYING THE ADDITION AND SUBTRACTION PROPERTIES OF EQUALITY In each equation, the goal is to isolate the variable on one side of the equation. To accomplish this, we use the fact that the sum of a number and its opposite is zero and the difference of a number and itself is zero. p – 4 = 11 To isolate p, add 4 to both sides (-4 +4 = 0). p – 4 +4 = 4 +4 p- + 0 = 15 p = 15 Simplify CHECK

  4. MULTIPLICATION AND DIVISION PROPERTIES OF EQUALITY • Multiplication and Division Properties of Equality • Let a, b, and c represent algebraic expressions • 1. Multiplication property of equality: If a = b, then ac = bc • Division property of equality: If a = b • then • provided c ≠ 0

  5. Applying the Multiplication and Division Properties of Equality Tip: Recall that the product of a number and its reciprocal is 1. For example: To obtain a coefficient of 1 for the x-term, divide both sides by 12 12x = 60 12x = 60 12 12 Simplify x = 5 Check!

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