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Mathematical Concepts and Problem-Solving Activities from October 2011

This document outlines various mathematical problems and concepts learned during the week of October 24 to 28, 2011. The problems cover topics such as age expressions, sequence rules, arithmetic calculations, prime factorization, purchasing equations, and finding common factors. The questions are designed to enhance problem-solving skills, understanding of ratios, and the ability to work with fractions. Each question involves practical applications, enriching the learner's grasp of mathematics in real-world contexts.

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Mathematical Concepts and Problem-Solving Activities from October 2011

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  1. What I’ve Learned Lately October 24, 2011 to October 28, 2011

  2. Question 1 The table shows Andre’s age and Deja’sage over 4 consecutive years. Which expression best represents Deja’sage in terms of Andre’s age?

  3. Question 2 What is the rule to find the value of the term in the sequence below? • n + 7 • 3n – 1 • 2n + 3 • n - 7

  4. Question 3 Find the value of the expression: 17 – 3(24 ÷ 6)

  5. Question 4 Ethan needed bolts for a home improvement project. The sizes of bolts he purchased were ¼ inch, ⅝ inch, and 3/16 inch. Draw a model to show the largest sized bolt to the smallest sized bolt.

  6. Question 5 Find the prime factorization of 120.

  7. Question 6 Hailey bought a cake for $25, birthday candles for $3, and 2 gallons of ice cream for $4 each. Which equation can be used to find t, the total price of the items she purchased? F. t= 25 + 3 + 4 G. t = 25 + 3 + 2 H. t = 25 + 3 + 2(4) J. t = 25(2) + 3 + 4

  8. Question 7 Mr. Motiwalawanted to give each of his students one mechanical pencil and one eraser. Mechanical pencils come in packages of 10 and erasers come in packages of 25. What is the least number of packages of mechanical pencils and erasers does Mr. Motiwalaneed to purchase to not have any leftover?

  9. Question 8 Brian is a chef and is making some special desserts for his restaurant. One dessert needs ⅛ cup of sugar and the other dessert needs ½ cup of sugar. Draw a fraction bar to show the total amount of sugar he needs for his desserts.

  10. Question 9 What is the greatest common factor of 12, 18, and 30?

  11. Question 10 Put these decimals in order from least to greatest. 6.45, 6.8, 6.05, 6.2

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