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Module 3 Lesson 7.notebook Module 3 - Lesson 7 Understanding Equations January 12, 2016 Hw: Lesson 7 Problem Set #1, 2, 3(b). (Pg 41) Do Now: Lesson 6 Exit Ticket Module 3 Lesson 7.notebook January 12, 2016 Lesson 6 Exit Ticket For the problem , Tyson created an equivalent expression using the following steps. Is his expression equivalent to the original? Module 3 Lesson 7.notebook Lesson 6 Problem Set # 2(a, c, e), 3(a,e,j,k) (Pg 37) 2) a. c. e. 3) a. e. j. k. January 12, 2016 Module 3 Lesson 7.notebook January 12, 2016 Opening Exercise (Pg 38) Your brother is going to college, so you no longer have to share a bedroom. You decide to redecorate a wall by hanging two new posters. The wall is 14 ft wide and each poster is four feet wide. You want to place the posters on the wall so that the distance from the edge of each poster to the nearest wall is the same as in between the posters. Determine the distance. 14 feet 4 feet 4 feet Module 3 Lesson 7.notebook January 12, 2016 Example 1 (Pg 39) Consecutive Integers: Integers that follow each other in order. If n is an integer than n, n+1, and n+2 would be consecutive integers. The sum of three consecutive integers is 18. Find the three integers. b.) Let x represent the first integer. Write expressions to represent the following integers. c.) Write an equation to model this situation. Solve. Module 3 Lesson 7.notebook January 12, 2016 Example 2 (Pg 39) The ages of three sisters are consecutive integers. The sum of their ages is 45. Find their ages. b.) If the youngest sister is x years old, describe the ages of the other two sisters in terms of x, write an expression for the sum of their ages in terms of x. Write an equation and solve to find the ages. Module 3 Lesson 7.notebook January 12, 2016 Exercise (Pg 40) 1. Sophia pays $19.99 membership fee for an online music store. a. If she also buys two songs from a new album at a price of $0.99 each, what is the total cost? b. If Sophia purchases n songs for $0.99 each, write an expression for the total cost. c. Sophia's friend has saved $118 but isn't sure how many songs she can afford if she buys the membership and some songs. Use the expression in part (b) to write an equation that can be used to determine how many songs Sophia's friend can buy. d. Can Sophia's friend buy 101, 100, or 99 songs? Module 3 Lesson 7.notebook January 12, 2016 Directions: On a piece of paper, copy the following. For 1 and 2, Check whether the given value is a solution to the equation. 1. 5n + 3 = 3n - 7 , n = -2 2. 2(a - 3) = 2, a = 4 For 3 and 4, write an equation and solve. 3. The sum of two consecutive integers is 7. Let x represent the 1st integer. 4. Two times five more than a number is 24.