Name: _______________________________
Unit 3 Review
1. Jody keeps track of her allowance in a chart. Jody records that she earned $10 for babysitting her sister, deposited
$ 5 for sweeping and mopping, and spent $4 on ice cream.
a. Write an integer to represent each gain and loss:
Description
Integer
Representation
earn $10
10
$5 deposit
5
spent $4
-4
b. Jody noticed a previous error in her account a “deposit of $6” for books should have been a withdrawal of $6.
Describe the relationship of these two numbers on a numberline.
6
-6
6
0
6 are the same distance from the zero. They have the same absolute value.
Describe: The numbers
c. Jody wanted to correct
the error, so she entered –(-6) into her log. She made a note that read, “The opposite
6
of the opposite of $6 5is $6”. Is her reasoning correct? Explain.
Yes, Jody is correct because the opposite of 6 is -6 and the opposite of that is 6.
2. A recorded temperature in Antartica is -128 degress F. Death Valley, Callifornia has a recorded temperature of 134
degrees F and Louisiana has an average temperature of 72 degrees F in November. Write an inequality statement that
shows the relationship between the three recorded temperatures. Which temperature is the warmest? (hint: < or >)
-128 < 72 < 134
Death Valley has the warmest temperature.
3. Choose an integer between 0 and -8 on a numberline, and lable the point P. Locate and label each of the following
points and their values on the numberline.
P: -5 (You can choose any integer between 0 and -8. I choose -5 as an example)
B
P
C
A
D
-8
b
-7
-6
-5
-4
-3 -2
-1
0
1
2
3
4
5
6
7
8
Name: _______________________________
(# 3 continued…)
Unit 3 Review
a. Label point A: the opposite of P.
b. Label point B: a number less than P. less is left
c. Label point C: a number greater than P. greater is right
d. Label point D: a number half way between P and the integer to the right of P. the integer next to P is -4
4. Mr. Bennet is teaching about elevation in science class. He gives a list of facts about Louisiana to better explain the
concept. Below are the facts:





Mount Driskill is the highest point in Louisiana and is 535 feet above sea level.
New Orleans is the lowest point at 8 feet below sea level.
Slidell is 3 feet above sea level.
The capitol building in Baton Rouge is 450 feet above sea level.
The lowest point of Lake Ponchartrain is 53 feet below sea level.
a. Write an integer that represents each location in relationship to sea level.
Mount Driskill _535_
New Orleans _-8_
Slidell __3___ Capitol Building _450
Lake Ponchartrain -53
b. Explain what negative and positive numbers tell Julia about elevation.
(hint: what do they mean?? what does zero represent?)
Positive numbers represent elevations above sea level and negative numbers represent
elevations below sea level. On a numberline 0 represents sea level.
c. Order the elevations from least to greatest, and then state their absolute values in the chart below.
Elevations
Absolute Values of Elevations
Lake Ponchartrain
53 feet below sea level
New Orleans
8 feet below sea level
Slidell
3 feet above sea level
Capitol Building
450 feet above sea level
Mount Driskill
535 feet above sea level
53
8
3
450
535
Name: _______________________________
Unit 3 Review
5. Louis is moving to a small town and wants to make a map to help him learn the area.
E
P
P
P
P
P
a. Locate and label the following businesses:
Post Office (-2 ½ , 0)
School (-3 ½ , -2 ¼ )
Library (4, 2)
Grocery Store (3, -2 1/2 )
b. The Print shop is located in Quadrant III. Write the coordinates of a point that lies in Quadrant III.
Any ordered pair with a negative x and negative y. (-,-) Ex: (-5, -4)
c. What is the distance between the Post Office and the point (2 ½ , 0)?
5 units
d. What are the coordinates of point E on the coordinate plane?
(3,3)
e. Point F is a reflection of point E across the x-axis. Locate and label point F. What are the coordinates? How
far apart are points E and F? Explain how you arrived at your answer.
cooridinate: __(3,-3)_________
distance: __6 units_________
I counted the units on the coordinate plane. I could also take the absolute
value of the y-coordinates (3 and -3) and add them together: 3 +3 = 6.
explanation: