What is an Integer?
Comparing and Ordering Integers, Absolute Values
Adding and Subtracting Integers
Multiplying and Dividing Integers
Word Problems
100

Which correctly defines an integer?


A) Integers are the whole numbers and their opposites (... -3, -2, -1, 0, 1, 2, 3...)

B) Integers are the counting numbers (1, 2, 3, 4, 5... )

C) Integers include zero and the counting numbers (0, 1, 2, 3,4, 5...)

D) Integers can be decimals, fractions, whole numbers and their opposites.

A) Integers are the whole numbers and their opposites (... -3, -2, -1, 0, 1, 2, 3...)

100

Find the absolute value of the following: |−25|


A) −25                        C) 5

B) −5                          D) 25

 D) 25



100

Solve. 8 + (−15) = ____


A) 23

B) −23

C) −7

D) 7

C) −7

100

Find the quotient: −11 ÷ 11 = ____


A) 0

B) −10

C) 1

D) −1

D) −1

100

An elevator is on the 25th floor. It went down 4 floors and then back up 6 floors. On what floor is the elevator now on?

Write an expression for the situation:__________________________

The elevator is now on which floor:_______________

The expression for the situation is: 25-4+6

The elevator is now on the 27th floor.

200

True or False: The further to the left an integer is on the number line the bigger it is.

B) FALSE. The further to the left, the smaller in value the integer is.

200

Which of the following correctly compares the two numbers?


A) 126 < -200

B) −59 > −62

C) −438 < −4,380

D) 1,390 > 1,930

B) −59 > −62

200

Solve. −(−15) + (−8) = ____


A) −23

B) −7

C) 7

D) 23

C) 7

200

Find the product: −7(4)


A) −3

B) −21

C) −28

D) 28

C) −28

200

Mrs. Bates went to a garage sale and bought 5 shirts for her daughter at $2 each. What integer would describe how much money Mrs. Bates has spent after buying the shirts for her daughter?

The integer that can be used to represent how much money Mrs. Bates has spent is -10.

Mrs. Bates spent $10.

300

Which of the following is NOT an integer?

A) 9                         C) 22.4

B) −188                   D) 0

C) 22.4

Integers are NOT decimals or fractions.

300

Use >, <, or = to compare the following integers: 

−|−79| ____ −|79|


A) >

B) <

C) =

D) none of these

C) =

300

Solve. −37 + (−5) = ____


A) 42

B) −42

C) 32

D) −32

B) −42

300

Which of the following describes the value of the product when a negative integer is multiplied by a positive integer?

A) Greater than zero.

B) Less than zero.

C) Equal to zero.

D) It can be any of the above.

B) Less than zero.

300

On a winter day in Southaven, Mississippi, the temperature was recorded to be at a low of 33 degrees.

On the same day in Newport, Vermont, the temperature was recorded at a low of −20 degrees.


Write an expression for the situation:__________________________ 

The difference between the two temperatures is:_______________

The expression that can be used is: 33 - (-20)

The difference between the two temperatures is 53 degrees.

400

Which of the following IS an integer?


A) 3/4

B) −0.25

C) 3.01

D) 7

D) 7

Integers are WHOLE numbers, positive or negative.

400

Which of the following set of integers is correctly ordered from least to greatest?


A) −4, −9, −19, 1, 20

B) 13, 6, 4, −1 ,−5

C) −11, −7, 4, 8, 16

D) −4, −6, 4, 7, 12

C) −11, −7, 4, 8, 16

400

An airplane left Jackson, Mississippi where the temperature was 42° F. When the airplane landed in Anchorage, Alaska, the temperature had dropped 50°. What was the temperature in Anchorage?

A) 8° F

B) −8 °F

C) −12 °F

D) 92° F

B) −8 °F

400

Which of the following describes the value of the quotient when a negative integer is divided by a negative integer?

A) Greater than zero.

B) Less than zero.

C) Equal to zero.

D) It can be any of the above.

A) Greater than zero.

400

In the early nineteen hundreds, it was recorded in the town of Nome, Alaska that the temperature dropped 4° every hour for 5 straight hours. If the starting temperature was -7 degrees, what was the final temperature?


The expression used is: -7 - 5(4) 

The final temperature is -27 degrees.

500

The chart lists class averages over a course of 3 years.


Year.   1st Semester Average     2nd Semester Average

2010                  85                                79

2011                  80                                74

2012                  82                                77



Describe as an integer the change in 2nd Semester averages between 2011 and 2012.

A) 5                        C) 3

B) −5                      D) −3

C) 3


The average went UP 3 points (From 74 to 77), so it is POSITIVE 3.

500

The weather channel recorded temperatures in the following cities:


Fargo, ND −33°

Hibbing, MN −19°

Bozeman, MO −21°

Wasilla, AL −14°



Which of the following orders the cities with temperatures from coldest to warmest?

A) Wasilla, Hibbing, Fargo, Bozeman

B) Fargo, Wasilla, Bozeman, Hibbing

C) Wasilla, Hibbing, Bozeman, Fargo

D) Fargo, Bozeman, Hibbing, Wasilla

D) Fargo, Bozeman, Hibbing, Wasilla

500

Terry has $43 in a checking account. If Terry writes a check for $62, what is the new account balance?

A) −105

B) 105

C) 19

D) −19

D) −19

500

From the surface of the ocean, a sting ray descends 100 feet in 2 minutes. At this pace, where would the sting ray be in 5 minutes?

A) −250 feet

B) −200 feet

C) −1000 feet

D) −500 feet

A) −250 feet

500

Evaluate the following expression where x = -7, y = -6, and z = 2.


z + (xy) 

The expression would be equal to 44.