Name _________________________________ Date ____________________Mrs. Labuski / Mrs. Portsmore Period _______ 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. –50 > –38 > –19 > –5 > 4B. –56 > 48 > –21 > 1C. –65 > –43 > –25 > –13 > –2D. –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

the most fish. Matt dropped his bait and hook 613 ft into the water and Katie dropped her bait

and hook 614 ft into the water. Whose hook is further beneath the water’s surface?

Find the absolute value.

18. │-15│ = _____________ 19. │325│ = _____________ 20. │- 89│ = _____________

21. Use the coordinate plane to answer the following questions.

Point

QuadrantOrdered

PairReflected

over x-axisReflected over

y-axisReflected over x-axis and

then the y-axis

A

B

C

D

E

F

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│

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?

29. A rectangle has a perimeter of 24 units, an area of 36square 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 _________________________________ Date ____________________Mrs. Labuski / Mrs. Portsmore Period _______ 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. ___-9 0 ____________

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?

as a decimal__- 5.8 _________ as a fraction __-58

10________

13. Which number best represents the location of point A on the number line?

as a decimal___- 2.8 ________ as a fraction _- 2 45 ________

14. Which number best represents the location of point B on the number line?

as a decimal_____-6.75______ as a fraction __- 6 34 ________

15. Which of the following is in order from greatest to least? ___D____________________

A. –50 > –38 > –19 > –5 > 4B. –56 > 48 > –21 > 1C. –65 > –43 > –25 > –13 > –2D. –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

the most fish. Matt dropped his bait and hook 613 ft into the water and Katie dropped her bait

and hook 614 ft into the water. Whose hook is further beneath the water’s surface?

Matt’s 613 > 6

14

Find the absolute value.

18. │-15│ = ____15_______ 19. │325│ = ____325_____ 20. │- 89│ = ____

89_______

21. Use the coordinate plane to answer the following questions.

Point

QuadrantOrdered

PairReflected

over x-axisReflected over

y-axisReflected 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)

Enonex-axis

(2,0) (2,0) (-2,0) (-2,0)

Fnoney-axis

(0,-4) (0,4) (0,-4) (0,4)

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?

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?

29. A rectangle has a perimeter of 24 units, an area of 36square 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