This document contains a multi-part math worksheet involving integers, number lines, coordinate planes, and geometry. Students are asked to represent word problems with integers, find opposites, solve equations, order numbers, find distances and depths, graph points and shapes, and determine lengths and areas. The problems progress from basic integer operations to more advanced concepts involving coordinates, distances, and geometric shapes.

1. Name _________________________________ Date ____________________
Mrs. Labuski / Mrs. PortsmorePeriod _______ End of Module 3 Review
Use the checkbookregisterbelow to write an integer to representeachof the following
situations.
1. The amount you paid at the shoe store. _____________________________
2. The amount that was deposited from your paycheck. ___________________
Write an integerto representboth situations.
3. A hiker at the top of Mt. Mckinley _________________________________
4. A hiker in Death Valley __________________________________________
Write an integerto represent the opposite of eachsituation.
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. _______________

2. Write an equation that represents the descriptions.
9. The oppositeof negative twelve. _______________________
10. The oppositeof the oppositeof negative five. ______________
11. The oppositeof the oppositeof 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. –50 > –38 > –19 > –5 > 4
B. –56 > 48 > –21 > 1
C. –65 > –43 > –25 > –13 > –2
D. –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?
______________________________

3. 17. Matt & Katie believed that whoever dropped their bait deeper into the water would catch
the most fish. Matt dropped his bait and hook 6
1
3
ft into the water and Katie dropped her bait
and hook 6
1
4
ft into the water. Whose hook is further beneath the water’s surface?
Find the absolute value.
18. │-15│ = _____________ 19. │325│ = _____________ 20. │-
8
9
│ = _____________
21. Use the coordinate plane to answerthe following questions.
Point Quadrant
Ordered
Pair
Reflected
over x-axis
Reflected over
y-axis
Reflected over x-axis and
then the y-axis
A
B
C
D
E
F

4. 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)}

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│
b. │3│ - │-6│
c. │-6│ + │-4│
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?

6. 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.

7. Name _________________________________ Date ____________________
Mrs. Labuski / Mrs. PortsmorePeriod _______ End of Module 3 Review
Use the checkbookregisterbelow to write an integer to representeachof 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 integerto representboth situations.
3. A hiker at the top of Mt. Mckinley _____20,320____________________________
4. A hiker in Death Valley ____________-282______________________________
Write an integerto represent the opposite of eachsituation.
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____________

8. Write an equation that represents the descriptions.
9. The oppositeof negative twelve. ____-(-12)= 12_______________
10. The oppositeof the oppositeof negative five. __-(-(-5))= -5___________
11. The oppositeof the oppositeof twenty-five. ________-(-25)= 25__________
12. Which number best represents the location of point C on the number line?
as a decimal__-5.8_________ as a fraction __-5
𝟖
𝟏𝟎
________
13. Which number best represents the location of point A on the number line?
as a decimal___-2.8________ as a fraction _-2
𝟒
𝟓
________
14. Which number best represents the location of point B on the number line?
as a decimal_____-6.75______as a fraction __-6
𝟑
𝟒
________
15. Which of the following is in order from greatest to least? ___D____________________
A. –50 > –38 > –19 > –5 > 4
B. –56 > 48 > –21 > 1
C. –65 > –43 > –25 > –13 > –2
D. –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________________________

9. 17. Matt & Katie believed that whoever dropped their bait deeper into the water would catch
the most fish. Matt dropped his bait and hook 6
1
3
ft into the water and Katie dropped her bait
and hook 6
1
4
ft into the water. Whose hook is further beneath the water’s surface?
Matt’s 6
𝟏
𝟑
> 6
𝟏
𝟒
Find the absolute value.
18. │-15│ = ____15_______ 19. │325│ = ____325_____ 20. │-
8
9
│ = ____
𝟖
𝟗
_______
21. Use the coordinate plane to answerthe 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 (6,-2) (6,2) (-6,-2) (-6,2)
E
none
x-axis
(2,0) (2,0) (-2,0) (-2,0)
F
none
y-axis
(0,-4) (0,4) (0,-4) (0,4)

10. 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)}

11. Find the lengths of the line segments whose endpoints are given below. Explain how you
determined that the linesegmentsare 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?
a. │-6│ + │3│
b. │3│ - │-6│
c. │-6│ + │-4│
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?

12. 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