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Algebraic Expressions and Problem Solving: Lesson 5 Overview

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This lesson focuses on algebraic expressions and their simplification through various techniques. Students will tackle problems including finding differences, products, and quotients of numbers represented by variables. Key examples include expressions involving differences between numbers, products with constants, and representation of age relationships. Assignments include classwork on problems 1-6 and 13 from Chapter 4, Lesson 5. Students are encouraged to use their class time wisely for practice and completion of homework.

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Algebraic Expressions and Problem Solving: Lesson 5 Overview

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  1. Warm-upOctober 16, 2013 • 1.) (6T – 7E) + (4T + 11E) • 2.) 6 times the difference between X and 9 • 3.) Half of R times 5 • 4.) (6T – 7E) – (4T + 11E) • C

  2. Class work • Chapter 4, Lesson 5, page 299 • Problems 1 – 6 and 13 • What is completed in class is HW • Use your time wisely………….

  3. 76 + 7 = 9) 76 * (-7) = • 76 + (-7) = 10) 77 ÷ (-7) = • -76 + 7 = 11) -76 * 7 = • -76 + (-7) = 12) -77 ÷ 7 = • 76 – 7 = • 76 – (-7) = • -76 – 7 = • -76 – (-7) =

  4. Write an algebraic expressionTicket out the Door • 35 more than 28 times R • The difference between 13 and the product of 26 and Y • One tenth of T plus 47 • The quotient of 6 and a number Y, increased by one • Kevin is k years old. His brother Abe is 4 years younger than Kevin. Represent how old Abe will be in 20 years.

  5. 28R + 35 or 35 + 28R • 26 Y - 13 • T/10 + 47 • 6/Y + 10 • K - 4 + 20 or K + 16

  6. Simplifying algebraic expressions practice 1.) 6B + (-8B) + 5B + 3V – (-2V) 2.) - 6G + 5T + (-3G) – 2T – 4G 3.) 9H + 12H – (-13H) + (-6) + (-4J) 4.) 6M – (-3M) – (-5M) + 8U – 12U 5.) 8K + (-2W) – (-7K) + 8 + 4W – 3W – (-7) TOTD

  7. Use the distributive property and combine like terms 11.) -6 (-5M + (-6G)) 12.) 5 (4H – (-4L)) 13.) 3 (3D + 3E) + 7(5D – 6E) 14.) 14B + (-12B) + -5(7Y – 9K) 15.) 11A + 3E + (5E + (-2A)) + (5)(5F - 7R)

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