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Math on the Mind

Math on the Mind. 1. Find the equation of the inverse variation through the points (5, 1 ). 2. Find the constant of variation k for the inverse variation where x = 2.5 when y = 7. xy = 5. 17.5. 3. Tell whether each situation represents a direct variation or an inverse variation.

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Math on the Mind

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  1. Math on the Mind 1.Find the equation of the inverse variation through the points (5, 1). 2. Find the constant of variation k for the inverse variation where x= 2.5 when y= 7. xy = 5 17.5 3. Tell whether each situation represents a direct variation or an inverse variation. a. You buy several notebooks for $3 each. b. The $45 cost of a dinner at a restaurant is split among several people. direct variation inverse variation

  2. Describing Number Patterns Mrs. King Unit 7, Day 3

  3. Vocabulary • Inductive Reasoning: Making conclusions based on observed patterns.

  4. Use inductive reasoning to describe the pattern. Then find the next two numbers in each pattern. b.1, 3, 9 a.1, 5, 9 add 4 multiply each by 3 27 and 81 13 and 17 You try: 3, 9, 27, 81… 9, 15, 21, 27… 2, –4, 8, –16…

  5. Vocabulary • Arithmetic Sequence: A number pattern formed by adding a fixed number to each previous term. • Common Difference: The fixed number added to each term of an arithmetic sequence.

  6. Find the common difference of each arithmetic sequence. a. 5, 2, –1,–4, … b. 8, 11, 14, 17, … –3 3 Now you try: 11, 23, 35, 47… 8, 3, –2, –7…

  7. Find the first, fifth, and tenth terms of the sequence that has the rule A(n) = 15 + (n – 1)(5). first term: A(1) = 15 + (1 – 1)(5) = 15 fifth term: A(5) = 15 + (5 – 1)(5) = 35 tenth term: A(10) = 15 + (10 – 1)(5) = 60

  8. Find the first, sixth, and twelfth terms of the sequence. A(n)= – 5 + (n – 1)(3) A(n) = 6.3 + (n – 1)(5)

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