Adding and Subtracting Integers Review

Important Concepts

100

Absolute Value

The distance of a number from zero

200

Integer

Positive and negative whole numbers and 0

300

What are additive inverses

Numbers that are opposite and have a sum of zero

400

What does this mean? |-6| = 6

The absolute value of -6 is 6, or -6 is 6 units from zero.

500

Subtracting a positive number is the same thing as...

Adding a negative 7-4 = 7 +-4

Adding Integers

100

-5 + 9

4

200

-12 + 5

-7

300

-16 + (-17)

-33

400

How do you find the sum of numbers with different signs

Subtract and take the sign of the # with the greater absolute value

500

-16+18+-17

-15

Subtracting Integers

100

-4 - 6

-4 + (-6) = -10

200

4 - 11

4 + (-11) = -7

300

15 - (-7)

15 + 7 = 22

400

-27 - (-3)

-27 + 3 = -24

500

-10 - 11 - (-3)

-10 + (-11) + (3)= -18

Word Problems

100

Jason dives 10 feet under water and swims back up 3 feet. Where is his current location in the water?

-10 + 3= -7

200

Chris gets paid $100, and then must pay his cable bill which is $245. How much money does he have?

100 - 245 = $-145

300

The temperature is now 76 degrees, it rose 12 degrees overnight. What temperature was it last night?

76-12 = 64 degrees

400

In a game, Jareek earned 15 points in the first round, in the 2nd round he lost 20 points for not showing sportmanship. In the final round he scored double what he did in the first round. What is his final score?

15 + (-20) + 30 = 25 points

500

Nikkia starts with $1000 in her bank account, she withdraws $750 to pay her rent. She lets a friend borrow $70, buys new clothes for $120. She finds $100 cash on the street, and deposits 1/4 of it. How much money is in her bank account?

$85

Mixed Review

100

The Wolves football team score 5 touchdowns.  Only 2 of the 5 touchdowns earned the extra point.  Their opponent the Lions scored 4 touchdowns and 3 extra points.  How much did the Wolves win by?  =

What is 5?

200

The inverse of the absolute value of 27 is

What is -27?

300

72 - 102

-30

400

An elevator is on the twentieth floor. It goes down 11 floors and then up 5 floors. What floor is the elevator on now?

What is 14?

500

Starting from the school, the track team ran 7 miles to Target, they then ran 50% of the distance back towards the school, they saw a dog and ran 2.25 miles towards Target. How far are they away from the Target?

What is 1.25 miles?