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Lesson 1-3, page 19

Lesson 1-3, page 19. Agenda Sept. 23. Journal Check Homework. Notes for section 1-4. Assignment 1-4 Foldable (counts as quiz score). Notes Warm-up: Find the solution set to 2x – 1 ≥ 9 if the replacement set is x = {4, 5, 6, 7}. Check x = 4 2x – 1 ≥ 9 2(4) – 1 ≥ 9 8 – 1 ≥ 9

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Lesson 1-3, page 19

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  1. Lesson 1-3, page 19

  2. Agenda Sept. 23 • Journal • Check Homework • Notes for section 1-4 • Assignment 1-4 • Foldable (counts as quiz score)

  3. Notes Warm-up: Find the solution set to 2x – 1 ≥ 9 if the replacement set is x = {4, 5, 6, 7}. Check x = 4 2x – 1 ≥ 9 2(4) – 1 ≥ 9 8 – 1 ≥ 9 7 ≥ 9 x = 4 is not a solution Check x = 5 2x – 1 ≥ 9 2(5) – 1 ≥ 9 10 – 1 ≥ 9 9 ≥ 9 x = 5 is a solution Solution set: {5, 6, 7}

  4. Lesson 1-4learning target: Apply inverse and identity properties

  5. PROPERTY: a + 0 = a EXAMPLE: If n + 0 = 8, then n = ? (n = 8) Additive Identity

  6. PROPERTY: a + -a = 0 EXAMPLE: If n + 5 = 0, then n = ? (n = -5) Additive Inverse

  7. PROPERTY: a • 0 = 0 EXAMPLE: If 7n = 0, then n = ? (n = 0) Multiplicative Property of Zero

  8. PROPERTY: a • 1 = a EXAMPLE: If 12n = 12, then n = ? (n = 1) Multiplicative Identity

  9. PROPERTY: a • 1/a = 1 EXAMPLE: If 3n = 1, then n = ? (n = ⅓) Multiplicative Inverse

  10. How do you remember which is which? • Hint #1: Which operation is used? EX: Additive = + Multplicative = x • Hint #2: Inverse means “opposite” EX: Additive inverse means “add the opposite” • Hint #3: Identity means the original number stays the same. EX: Multiplicative identity means multiply by something to get the same number you start with

  11. Time for Practice! In each of the following examples, identify n and name the property that is being used. Write the letter of the correct answer on your gel board

  12. A. n = 0, Additive Identity Property B. n = -7, Additive Inverse Property C. n = -7, Multiplicative Inverse Property D. n = 1/7, Multiplicative Inverse Property If n + 7 = 0, then n = ?

  13. A. n = 0, Additive Identity Property B. n = -8, Additive Inverse Property C. n = 0, Multiplicative Property of Zero D. n = -8, Multiplicative Inverse Property If 8n = 0, then n = ?

  14. A. n = 1, Multiplicative Identity Property B. n = 0, Additive Inverse Property C. n = -13, Additive Inverse Property D. n = 0, Additive Identity Property If n + 13 = 13, then n = ?

  15. A. n = 1, Multiplicative Identity Property B. n = ¼ , Multiplicative Inverse Property C. n = -4, Additive Inverse Property D. n = ¼ , Multiplicative Identity Property If 4n = 1, then n = ?

  16. Check for Understanding

  17. Assignment 1-4B: Page 23 #’s 12-13, 16-19, 22-29 Directions for 24-29: evaluate only

  18. Place your name on the front of your foldable and write the page titles as shown below. You can do the pages with the arrows.

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