Name _________________________________ Date ____________________
End of Module 3 Review
Use the checkbook register below to write an integer to represent each of the following
situations.
1. The amount you paid at the shoe store. _____________________________
2. The amount that was deposited from your paycheck. ___________________
Write an integer to represent both situations.
3. A hiker at the top of Mt. Mckinley _________________________________
4. A hiker in Death Valley __________________________________________
Write an integer to represent the opposite of each situation.
5. A football team gained 5 yards on the last play. ____________
6. It is 17 degrees below zero outside today. _____________
7. I decreased their lead in the game by 3 points. ______________
8. On my run today, I ascended 90 feet on the last hill. _______________
Write an equation that represents the descriptions.
9. The opposite of negative twelve. _______________________
10. The opposite of the opposite of negative five. ______________
11. The opposite of the opposite of twenty-five. ____________________
12. Which number best represents the location of point C on the number line?
as a decimal___________
as a fraction __________
13. Which number best represents the location of point A on the number line?
as a decimal___________
as a fraction __________
14. Which number best represents the location of point B on the number line?
as a decimal___________
as a fraction __________
15. Which of the following is in order from greatest to least? _______________________
A.
B.
C.
D.
–50 > –38 > –19 > –5 > 4
–56 > 48 > –21 > 1
–65 > –43 > –25 > –13 > –2
–4 > –15 > –28 > –37 > –52
16. Four new houses are being built in a neighborhood. The water well drilling company is on
site to drill for the wells. The company had to drill to the following depths before they hit water:
House 1: –300 ft., House 2: –585 ft., House 3: –267 ft. and House 4: –403 ft. At which house
did the company have to drill the deepest?
______________________________
17. Matt & Katie believed that whoever dropped their bait deeper into the water would catch
1
the most fish. Matt dropped his bait and hook 6 ft into the water and Katie dropped her bait
3
1
and hook 6 ft into the water. Whose hook is further beneath the water’s surface?
4
Find the absolute value.
18. │-15│ = _____________
8
19. │325│ = _____________ 20. │- │ = _____________
9
21. Use the coordinate plane to answer the following questions.
Point
A
B
C
D
E
F
Quadrant
Ordered
Pair
Reflected
over x-axis
Reflected over
y-axis
Reflected over x-axis and
then the y-axis
22. Point G is the point (3, -1). Which point is 5 units from Point G?_________________
23. Label the coordinate plane then locate and label the set of points below.
{ (0.4, 35), (-0.5, 30), (0.3, 15), (-0.2, -10), (0.2, -5)}
Find the lengths of the line segments whose endpoints are given below. Explain how you
determined that the line segments are horizontal or vertical.
24. (-5, 6) and (-5, 13)
25. (9, -2) and (9, -15)
26. (-1, 0) and ( 10, 0)
27. The coordinates of point A are (-6, 4). The coordinates of point B are (3, 4). Which
expression represents the distance in units between points A and B?
a. │-6│ + │3│
c. │-6│ + │-4│
b. │3│ - │-6│
d. │4│ - │-6│
28. Two of the vertices of a rectangle are (2, -6) and (8, -6). If the rectangle has a
perimeter of 30 units, what are the coordinates of its other two vertices?
29. A rectangle has a perimeter of 24 units, an area of 36 square units, and sides that are either
horizontal or vertical. If one vertex is the point (-2, -3) and the origin is in the rectangle, find
and label the other vertices of the rectangle. What is the coordinate in quadrant II?
30. Graph a rectangle with area 14 units2, such that its vertices lie in at least two of the
four quadrants in the coordinate plane. List the lengths of the sides, and use absolute
value to show how you determined the lengths of the sides.
Name _________________________________
Mrs. Labuski / Mrs. Portsmore Period _______
Date ____________________
End of Module 3 Review
Use the checkbook register below to write an integer to represent each of the following
situations.
1. The amount you paid at the shoe store. ______-89.99_______________________
2. The amount that was deposited from your paycheck. ___452.17________________
Write an integer to represent both situations.
3. A hiker at the top of Mt. Mckinley _____20,320____________________________
4. A hiker in Death Valley ____________-282______________________________
Write an integer to represent the opposite of each situation.
5. A football team gained 5 yards on the last play. __-5__________
6. It is 17 degrees below zero outside today. ___17__________
7. I decreased their lead in the game by 3 points. __3____________
8. On my run today, I ascended 90 feet on the last hill. ___-90____________
Write an equation that represents the descriptions.
9. The opposite of negative twelve. ____-(-12) = 12_______________
10. The opposite of the opposite of negative five. __-(-(-5))= -5___________
11. The opposite of the opposite of twenty-five. ________-(-25) = 25__________
12. Which number best represents the location of point C on the number line?
𝟖
as a decimal__-5.8_________ as a fraction __-5 ________
𝟏𝟎
13. Which number best represents the location of point A on the number line?
𝟒
as a decimal___-2.8________ as a fraction _-2 ________
𝟓
14. Which number best represents the location of point B on the number line?
𝟑
as a decimal_____-6.75______ as a fraction __-6 ________
𝟒
15. Which of the following is in order from greatest to least? ___D____________________
A.
B.
C.
D.
–50 > –38 > –19 > –5 > 4
–56 > 48 > –21 > 1
–65 > –43 > –25 > –13 > –2
–4 > –15 > –28 > –37 > –52
16. Four new houses are being built in a neighborhood. The water well drilling company is on
site to drill for the wells. The company had to drill to the following depths before they hit water:
House 1: –300 ft., House 2: –585 ft., House 3: –267 ft. and House 4: –403 ft. At which house
did the company have to drill the deepest?
______house 2 -585 ft________________________
17. Matt & Katie believed that whoever dropped their bait deeper into the water would catch
1
the most fish. Matt dropped his bait and hook 6 ft into the water and Katie dropped her bait
3
1
and hook 6 ft into the water. Whose hook is further beneath the water’s surface?
4
𝟏
𝟏
𝟑
𝟒
Matt’s 6 > 6
Find the absolute value.
18. │-15│ = ____15_______
8
𝟖
9
𝟗
19. │325│ = ____325_____ 20. │- │ = ____ _______
21. Use the coordinate plane to answer the following questions.
Point
Quadrant
Ordered
Pair
Reflected
over x-axis
Reflected over
y-axis
Reflected over x-axis and
then the y-axis
A
II
(-2,4)
(-2,-4)
(2,4)
(2,-4)
B
I
(3,1)
(3,-1)
(-3,1)
(-3,-1)
C
III
(-1,-5)
(-1,5)
(1,-5)
(1,5)
D
IV
none
x-axis
none
y-axis
(6,-2)
(6,2)
(-6,-2)
(-6,2)
(2,0)
(2,0)
(-2,0)
(-2,0)
(0,-4)
(0,4)
(0,-4)
(0,4)
E
F
22. Point G is the point (3, -1). Which point is 5 units from Point G?__B (-2,-1)___________
23. Label the coordinate plane then locate and label the set of points below.
{ (0.4, 35), (-0.5, 30), (0.3, 15), (-0.2, -10), (0.2, -5)}
Find the lengths of the line segments whose endpoints are given below. Explain how you
determined that the line segments are horizontal or vertical.
24. (-5, 6) and (-5, 13)
Both endpoints have x-coordinates of -5, so the points lie on a vertical line that would
pass through -5 on the x-axis. │6 │ = 6 and │13│ = 13, and the numbers are on the
same side of zero. By subtraction, 13 – 6 = 7, so the length of the line segment with
endpoints (-5, 6) and (-5, 13) is 7 units.
25. (9, -2) and (9, -15)
Both endpoints have x-coordinates of 9, so the points lie on a vertical line that would pass
through 9 on the x-axis. │-2 │ = 2 and │-15│ = 15, and the numbers are on the same
side of zero. By subtraction, 15 – 2 = 13, so the length of the line segment with
endpoints (9, -2) and (9, -15) is 13 units.
26. (-1, 0) and ( 10, 0)
Both endpoints have y-coordinates of 0, so the points lie on x-axis. │-1 │ = 1 and │10│
= 10, and the numbers are on the opposite side of zero so their absolute values must be
added. By addition, 1 + 10 = 11, so the length of the line segment with endpoints (-1, 0)
and ( 10, 0) is 11 units.
27. The coordinates of point A are (-6, 4). The coordinates of point B are (3, 4). Which
expression represents the distance in units between points A and B?
c. │-6│ + │-4│
a. │-6│ + │3│
b. │3│ - │-6│
d. │4│ - │-6│
28. Two of the vertices of a rectangle are (2, -6) and (8, -6). If the rectangle has a perimeter of
30 units, what are the coordinates of its other two vertices?
29. A rectangle has a perimeter of 24 units, an area of 36 square units, and sides that are either
horizontal or vertical. If one vertex is the point (-2, -3) and the origin is in the rectangle, find
and label the other vertices of the rectangle. What is the coordinate in quadrant II?
30. Graph a rectangle with area 14 units2, such that its vertices lie in at least two of the
four quadrants in the coordinate plane. List the lengths of the sides, and use absolute
value to show how you determined the lengths of the sides.
answers will vary
sides may be:
14 by 1
or
7 by 2