TODAY IN ALGEBRA… Warm Up Learning Goal: 2.2 and 2.3 You will add and subtract integers Independent Practice-No A.T. MID CHAPTER 2 TEST!!!

WARM UP: You travel at 25 miles per hour. How far do you go after… 1.5 hours 2. 2 hours 3. 2.5 hours Given the following numbers: Order from LEAST to GREATEST Label each number as WHOLE, INTEGER, or RATIONAL 4. 5. 𝟑𝟕.𝟓 𝒎𝒊𝒍𝒆𝒔 𝟓𝟎 𝒎𝒊𝒍𝒆𝒔 𝟔𝟐.𝟓𝒎𝒊𝒍𝒆𝒔 1 4 , −0.5, 0.2, −2 −7, 4 7 , 1.2, −2.8 −7, −2.8, 4 7 , 1.2 −2, −0.5, 0.2, 1 4 I R R R I R R R

2.2 and 2.3: ADDING AND SUBTRACTING INTEGERS Example 1: 1. 7+(−2) STEPS TO SUCCESSFUL ADDING AND SUBTRACTING INTEGERS: Change all “double signs” into one sign. -different signs changes to subtraction -same signs changes to addition 2. Signs of both numbers are: -different signs, then SUBTRACT and give the sign of the larger number -same signs, then ADD and keep the same sign *NOTE: signs are always attached to the number to the right Example 1: 1. 7+(−2) 2. 8+(−11) 3. −1+(−4) 4. 18−(−7) 5. −5− −6 6. −12−(−4) =7−2 =𝟓 =8−11 =−𝟑 =−1−4 =−𝟓 =18+7 =𝟐𝟓 =−5+6 =𝟏 =−12+4 =−𝟖

2.2 and 2.3: ADDING AND SUBTRACTING INTEGERS Example 2: STEPS TO SUCCESSFUL ADDING AND SUBTRACTING INTEGERS: Change all “double signs” into one sign. -different signs changes to subtraction -same signs changes to addition 2. Signs of both numbers are: -different signs, then SUBTRACT and give the sign of the larger number -same signs, then ADD and keep the same sign *NOTE: signs are always attached to the number to the right Example 2: Temperature change 1. From −6℉ 𝑡𝑜 10℉ 2. From −120𝑓𝑡 𝑡𝑜 200𝑓𝑡 3. From 8℉ 𝑡𝑜 40℉ =10− −6 =10+6 =𝟏𝟔℉ =200− −120 =200+120 =𝟑𝟐𝟎 𝒇𝒕 =40−8 =𝟑𝟐℉

ADDING AND SUBTRACTING INTEGERS 15 MINUTE PRACTICE: ADDING AND SUBTRACTING INTEGERS

2.1 and 2.3: ADDING AND SUBTRACTING FRACTIONS Example 3: STEPS TO SUCCESSFUL ADDING AND SUBTRACTING FRACTIONS: Fractions need a COMMON DENOMINATOR to be added or subtracted!!! Change all mixed fractions to improper fractions. Create a common denominator. Follow same steps of adding and subtracting integers. Example 3: 1. − 4 7 + − 1 7 2. 2 6 + 1 3 3. − 4 15 + 2 5 =− 4 7 − 1 7 = −4−1 7 =− 𝟓 𝟕 = 2 6 + 2 6 = 2+2 6 = 4 6 = 𝟐 𝟑 =− 4 15 + 6 15 =− −4+6 15 = 𝟐 𝟏𝟓

2.1 and 2.3: ADDING AND SUBTRACTING WITH VARIABLES Example 4: Adding and Subtracting more than 2 integers 1. −3+ −2 −6 =−3−2−6 =−5−6 =−𝟏𝟏 2. 15− −2 −20 =15+2−20 =17−20 =−𝟑 Example 5: Adding and Subtracting more than 2 integers with variables 1. −1+ − 𝑥 2 +4 𝑥 2 −2 =−1− 𝑥 2 +4 𝑥 2 −2 = −1−2 +(− 𝑥 2 +4 𝑥 2 ) =−𝟑+𝟑 𝒙 𝟐 2. 𝑟− −6 𝑟 3 +2𝑟+(−5 𝑟 3 ) =𝑟+6 𝑟 3 +2𝑟−5 𝑟 3 = 𝑟+2𝑟 +(6 𝑟 3 −5 𝑟 3 ) =𝟑𝒓+ 𝒓 𝟑

ADDING AND SUBTRACTING 30 MINUTE PRACTICE: ADDING AND SUBTRACTING WITH VARIABLES

HOMEWORK #1: Pg. 77: 3-11, 32-35, 53 Pg. 82: 3-29 odd, 42, 44