2-3. Skills Practice. The Coordinate Plane

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1 - Skills Practice The Coordinate Plane Name the ordered pair for each point graphed at the right. Then identif the quadrant in which each point lies. 1. A. B. C. D. E 6. F F 1 O 1 x C I H A G E D J B 7. G 8. H 9. I 10. J Graph and label each point on the coordinate plane. 11. N( 1, ) 1. V(, ) 1. C(, 0) 1. P( 6, ) 1. M(, 0) 16. K( 1, ) 17. I(, ) 18. A(, ) 19. D(0, ) Name the ordered pair for each point on the cit map at the right. 0. Cit Hall 1. Theater. Gas Station Grocer 7 6 Theater Gas Station 1 Cit Hall O O 1 6 x x. Grocer Chapter Course

2 - Practice The Coordinate Plane Write the ordered pair for each point graphed at the right. Then name the quadrant or axis on which each point is located. 1. A. B. C. D. E 6. F 7. G 8. H 9. I I B C E O F H A G D x Graph and label each point on the coordinate plane at the right. 10. J(, ) 11. K(, ) 1. L(, 1) 1. M(, ) 1. N(1, ) 1. O(0, 0) 16. P(, ) 17. Q(, ) 18. R( 6, ) O x Determine whether each statement is sometimes, alwas, or never true. Explain or give a counterexample to support our answer. 19. The -coordinate of a point in quadrant II is negative. 0. The x-coordinate of a point on the -axis is zero. 1. In quadrants I and III, the x-coordinate of a point is positive.. GEOMETRY Graph the points A(, 1), B(0, ), C(, ), and D(1, ) on the coordinate plane at the right. Connect the points from A to B, B to C, C to D, and D to A. Name the figure. O x Lesson Chapter Course

3 - SCHOOL For Exercises 1, use the coordinate plane at the right. It shows a map of the rooms in a middle high school. Word Problem Practice The Coordinate Plane Art Entrance Librar Special Services English Computer Lab Nurse 1 Counselor Histor O 1 x Science Math Exit Athletic Dept. Music 1. Thalia is in the room located at (, 1). What room is she in? Describe in words how to get from the origin to this point.. Thalia s next class is 8 units to the right and units down on the map from where she is now. In what room is Thalia s next class? Find the ordered pair that represents the location of that room.. Trone is in the Art room, but his next class is in the Histor room. Give Trone directions on how to get to the Histor room.. NEIGHBORHOOD Delsin made a map of his neighborhood in such a wa that each intersection is a point on a coordinate plane. Right now, Delsin stands at point (, ). Give the ordered pair of where he will be if moves units to the right and 7 units up on the map.. On the map, which classrooms are located in the third quadrant? Describe the coordinates of all points in the third quadrant. 6. NEIGHBORHOOD Refer to Exercise. In which quadrant is Delsin when he is done walking? Describe this quadrant. Chapter 6 Course

4 - Enrichment Relic Hunter The game of Relic Hunter is based on methods used to record the precise locations of artifacts discovered at archaeological digs. Archaeologists use string to position a grid over a dig site. An artifact s location is named b the row and column in the grid. Relic Hunter is plaed with two plaers who each secretl place six artifacts on one of the coordinate grids below. Artifacts ma not overlap. Each plaer should not be able to see where the other plaer s artifacts are hidden. A plaer must look for the artifacts b guessing an ordered pair. The other plaer then finds that location on the secret grid and tells the first plaer whether part of the artifact is located in that section and what the artifact is. Each plaer s empt coordinate grid should be used to mark the locations of guesses and of found artifacts. The winner is the plaer who first uncovers all of the opponent s artifacts. For Exercises 1 6, list each ordered pair that could contain the rest of the artifact. Then pla the game with a partner. Use one coordinate grid to keep track of the points where ou hide our artifacts and another coordinate grid to keep track of the points ou have guessed. 1. You uncover parts of the spear at points (, ) and (, ).. You uncover a part of the amulet at point (, ).. You uncover a part of the bow at point (, ) You uncover part of the animal bone at points (, 1) and (, ).. You uncover a part of the cla pot at point (0, 1). 6. Part of the amulet is located at point (, ), and there is nothing at point (, ). You uncover a part of the mosaic panel at point (, ). What other points could contain the mosaic panel? Lesson Chapter 7 Course

5 - Skills Practice Adding Integers Add. 1. ( 8).. ( 8). 7 ( 7) ( 10) ( 1) 9. ( 1) ( 1) ( 7) Evaluate each expression if a 8, b 1, and c. 1. a 1. b ( 9) 1. c ( ) 16. a b 17. a b c b 0. a ( 7) Lesson 1. 1 c. a c Chapter 1 Course

6 - Practice Adding Integers Add ( ). 16 ( 8). ( 0) 6. 1 ( 6) ( 1) 11. ( 10) Write an addition expression to describe each situation. Then find each sum and explain its meaning. 1. WEIGHT An actor gains 0 pounds for a part and then loses 1 pounds during the filming of a movie to go along with the stor. 1. TEMPERATURE At :00 A.M., the outside temperature was 8 F. B :00 P.M. that same da,it rose 8 degrees. ALGEBRA Evaluate each expression if a 1, b 1, and c a ( 1) b 17. c 18. b c 19. a c 0. a b 1. ROLLER COASTERS The latest thrill ride at a popular theme park takes roller coaster fans on an exciting ride. In the first 0 seconds, it carries its passengers up a 100-meter hill, plunges them down 7 meters, and quickl takes them back up a 8-meter rise. How much higher or lower from the start of the ride are the after these 0 seconds? Chapter Course

7 - Word Problem Practice Adding Integers Write an addition expression to describe each situation. Then find each sum. 1. FOOTBALL A team gains 0 ards. Then the lose 7 ards.. MONEY Roger owes his mom $. He borrows another $6 from her.. GOLF Juanita s score was over par on the first 9 holes. Her score was under par on the second 9 holes.. HOT AIR BALLOON A balloon rises 0 feet into the air. Then it descends 10 feet.. CYCLING A cclist travels downhill for 1 feet. Then she travels up a hill 0 feet. 6. AIRPLANE A plane descends 1,00 feet. Then it descends another 00 feet. Lesson Chapter Course

8 - Enrichment Adding a List of Integers When ou need to add a list of integers, sometimes it can be helpful to reorder the list of integers so ou first add all the positive integers, and then all the negative integers. Example Marc is studing weather conditions for her science fair project. During one -hour period, she recorded the changes in air temperature in the table at right. If the air temperature was 76 F at the start of her observations, what was the air temperature hours later? First add all the positive changes in air temperature and then all the negative changes in air temperature. ( ) () () ( ) ( ) ( 1) ( ) 19 ( 1) ( ) ( 16) ( 1) ( ) Next add the results to find the overall change and the new temperature. 19 ( ) 76 ( ) 7 F Change in Change in Time Temp. ( F) Time Temp. ( F) 0:00 1 1: :00 16:00 06:00 18: :00 0:00 10:00 :00 1 1:00 00:00 Exercises 1. The passenger elevator in the Empire State Building registered the following journe log between 9:00 A.M. and 9:1 A.M. on a Monda morning. At which floor was the elevator at 9:1 A.M. if it started in the Lobb, which is Floor 1? Number of floors A deep-sea diver attached to a safet cable was lowered into the water to a depth of 600 feet. During the next hour, the safet cable was let out 0 feet, pulled in 6 feet, pulled in 69 feet, let out feet, pulled in 1 feet, let out 68 feet, and pulled in feet to allow the diver to explore. At the end of the hour, what was the depth of the diver?. The Franklin Wildcats football team was competing in the regional championship game. The offense had the ball at the 0-ard line as the tried to score to win the game. Their progress during each pla was as follows. gain 7, gain, lose 1, gain, lose, gain 7, gain, gain, gain 0, gain, lose, lose 1, gain 1, gain On what ard line did the Wildcats end? 0 Loss Gain Chapter Course