Adding and Subtracting Integers Review

Important Concepts

100

Absolute Value

The distance of a number from zero. Always positive

200

Integer

Positive and negative whole numbers and 0

300

Opposite

Two numbers with the same absolute value but one is positive and the other is negative.

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 right now is 76 degrees. Last night, the temperature was 12 degrees colder. 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?

1000+(-750)+(-70)+(-120)+25 = $85

Mixed Review

100

Maya bought 3 bouquets of flowers for $15. How much did each bouquet cost?

15/3 = $5

200

Jimmy made 48 cookies using 4 spoons of butter. How many cookies can he make with one spoon of butter?

48/4 = 12 cookies

300

Liam spent $5.76 in 12 pounds of potatoes. How much would he spend in one pound of potatoes?

5.76/12 = $0.48

400

A person runs 52 miles in 4 hours. Write an equation to represents how many miles they can run per hour.

52/4 = 13

y=13x

500

Jose buys 25 cards for $10. Write an equation to represent how much he pays for each card.

10/25=0.4

y=0.4x