1. 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!!!

2. WARM UP: You travel at 25 miles per hour. How far do you go after…
1.5 hours hours hours
Given the following numbers:
Order from LEAST to GREATEST
Label each number as WHOLE, INTEGER, or RATIONAL
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

3. 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

4. 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 =
=𝟑𝟐𝟎 𝒇𝒕
=40−8
=𝟑𝟐℉

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

6. 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. − − 1 7
3. −
=− 4 7 − 1 7
= −4−1 7
=− 𝟓 𝟕 =
= 2+2 6
= 4 6
= 𝟐 𝟑 =−
=− −4+6 15
= 𝟐 𝟏𝟓

7. 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 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

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

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