September 19, 2012 More multi-step equations and consecutive integer problems Warm-up: Do one group’s multi-step review sheet. When you are done, compare answers with your group. Then you will go to a person from that group to check your answers. HW 3.4: Pg. 146 #42-47all TEST MONDAY!

Lesson 2.4 Simplifying before Solving Equations Steps to solve equations 1.Simplify - Take care of Negatives and Absolute Values - Distribute -Combine Like Terms 2.Add or Subtract 3.Multiply or Divide Ex 1. 3(x + 6) + 2x = 10 3x x = 10 Distribute 5x + 18 = 10 Combine Like Terms -18 5x = x =

Steps to solve equations 1.Simplify - Take care of Negatives and Absolute Values - Distribute -Combine Like Terms 2.Add or Subtract 3.Multiply or Divide 1.3x + 5x + 15 = (2b + 1) = (2m – 5) = x – 2(5x – 3) = 20

What are consecutive integers? 1, 2, 3, 4, 5, 6 or 43, 44, 45, 46, 47 Consecutive integers are integers that follow one another. What would the next 3 consecutives integers be after 9? What would the next 3 consecutive integers be after -9?

So, what would the next 3 consecutive integers be after n? Check if this works out: Plug in n = 3 Does this work for negative integer? n = -3 Does this work for any integer? n, 1 st # n + 1, 2 nd # n + 2, 3 rd #

How do you write consecutive odd or even integers? What are ODD integers? 1, 3, 5, 7, 9, … What are EVEN integers? 2, 4, 6, 8, 10… What are adding to each integer to get to the next? adding 2 (+2)

Setting up Consecutive Integer Problems Consecutive Integers: Consecutive Odd Integers: Consecutive Even Integers: Example 2: Find three consecutive even integers whose sum is -42. Then check your answer.

Practice: Find three consecutive integers whose sum is -159.