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1-8 Solving Equations by Adding or Subtracting Warm-up: Fluency Quiz. Sit with paper blank side up. Homework: Page 41 #4-8 even, #12-16 even, 20-32 even, Page 45 #2-16 even, #22-36 even, #44-56 even
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1-8 Solving Equations by Adding or Subtracting Solve. Example 1- I Do Use the Subtraction Property of Equality: Subtract 10 from both sides. 10 + n = 18 –10 0 + n = 8 n = 8 Identity Property of Zero: 0 + n = n. Check 10 + n = 18 10 + 8 = 18 18 = 18 Substitute 8 for n.
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1-8 Solving Equations by Adding or Subtracting Solve. Example 2- You Do Use the Addition Property of Equality: Add 8 to both sides. p – 8 = 9 + 8 p + 0 = 17 p = 17 Identity Property of Zero: p + 0 = p. Check p – 8 = 9 17 – 8 = 9 9 = 9 Substitute 17 for p.
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1-8 Solving Equations by Adding or Subtracting Solve. Example 3 – I Do Use the Addition Property of Equality: Add 11 to both sides. 22 = y – 11 + 11 33 = y + 0 33 = y Identity Property of Zero: y + 0 = y. Check 22 = y – 11 22 = 33 – 11 22 = 22 Substitute 33 for y.
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1-8 Solving Equations by Adding or Subtracting Solve. Example 4- You Do Use the Subtraction Property of Equality: Subtract 15 from both sides. 15 + n = 29 –15 0 + n = 14 n = 14 Identity Property of Zero: 0 + n = n. Check 15 + n = 29 10 + 14 = 29 29 = 29 Substitute 14 for n.
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1-8 Solving Equations by Adding or Subtracting Solve 6x = 48. Example 5- I Do 6x = 48 1x = 8 Use the Division Property of Equality: Divide both sides by 6. Check 6x = 48 66 x = 8 6x = 48 6(8) = 4848 = 48 Substitute 8 for x. 1 x = x
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1-8 Solving Equations by Adding or Subtracting Solve –9y = 45. Example 6- You Do –9y = 45 1y = –5 Use the Division Property of Equality: Divide both sides by –9. Check –9y = 45 –9 y = –5 –9y = 45 –9(–5) = 45 45 = 45 Substitute –5 for y. 1 y = y
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1-8 Solving Equations by Adding or Subtracting Solve = 5. Example 7- I Do b –4 b = 5 –4 Use the Multiplication Property of Equality: Multiply both sides by –4. b = –20 Check b –4 = 5 Substitute –20 for b. –20 –4 = 5 5 = 5
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1-8 Solving Equations by Adding or Subtracting Solve = 5. Example 8- You Do c –3 c = 5 –3 Use the Multiplication Property of Equality: Multiply both sides by –3. c = –15 Check c –3 = 5 Substitute –15 for c. –15 –3 = 5 5 = 5
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