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End of module 3 review

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Information about End of module 3 review

Published on March 5, 2014

Author: mlabuski

Source: slideshare.net

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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. _____________________________ 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 the most fish. Matt dropped his bait and hook 6 ft into the water and Katie dropped her bait and hook 6 ft into the water. Whose hook is further beneath the water’s surface? Find the absolute value. 18. │-15│ = _____________ 19. │325│ = _____________ 20. │- │ = _____________ 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 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 _________________________________ 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? as a decimal__-5.8_________ as a fraction __-5 ________ 13. Which number best represents the location of point A on the number line? as a decimal___-2.8________ as a fraction _-2 ________ 14. Which number best represents the location of point B on the number line? as a decimal_____-6.75______ as a fraction __-6 ________ 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 the most fish. Matt dropped his bait and hook 6 ft into the water and Katie dropped her bait and hook 6 ft into the water. Whose hook is further beneath the water’s surface? Matt’s 6 >6 Find the absolute value. 18. │-15│ = ____15_______ 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 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

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