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Integers Unit Vocabulary Matching Warm-Up (study for test) 1) Absolute value ___ a) the number of square units needed to cover a region 2) Origin ___ b) the set of positive whole numbers, their opposites, and zero 3) Ordered pair ___ c) numbers that are the same distance from zero on a number line 4) Integers ___ d) the distance around the outside of a closed figure 5) Opposite ___ e) a plane formed by the intersection of the x-axis and y-axis 6) Reflection ___ f) any of the four sections of a coordinate plane separated by axes 7) Quadrant ___ g) the point on a coordinate plane where the x and y axis intersect (0,0) 8) Area ___ h) the distance of a number from zero on a number line 9) Coordinate plane ___ i) a flip of a point over a line such as the x or y axis—a mirrored image 10) Perimeter ___ j) a pair of numbers in the form (x,y) that gives the location of a point Reflections on the Coordinate Plane Warm-Up 1) Graph (4,-2) and label it A. 2) Reflect point A over the x axis and label it A’. 3) What are the coordinates of A’? ( , ) 4) Graph (-2, 3) and label it B. 5) Reflect point B over the y axis and label it B’. 6) What are the coordinates of B’? ( , ) 7) Graph (5, 1) and label it C. 8) Reflect point C over the x axis and label it C’. 9) What are the coordinates of C’? ( , ) 10) Graph (-2, -1) and label it D. 11) Reflect point D over the y axis and label it D’. 12) What are the coordinates of D’? ( , ) Practice with Evaluating Absolute Value Evaluate the following absolute values. 1) |-17| = ______ 2) |10| = ________ 6) |11| + |-29| = ________ 3) |-18| = _________ 4) |7| = ________ 5) |-9| + |8| = ________ 7) |-15| - |12| = _______8) |-37| - |19| = ________ 9) |15-2| + |2+7| = ______ 10) |9+8| + |11-2| = _______ 11) |37-18| - |15+1| = ________ 12) |-18| + |19| - |-8| = ________ 13) |-11| - |8| + |-18| = _________ 14) |-8| x |7| = _________ 15) |0| = _______ 16) |-7| x |-11| x |6| = ______ 17) |-12| x |3| + |15-2| - |39| = _______ 18) |15-9| + |-8| - |-7| x |2| = _____ 19) |-15| x |-5| - |20 + 5| - |5x5| = ___________ 20) |15+7-2-11+8-6| = _________ Compare the following absolute values using <, >, =. 22) |-29| ____ |29| 26) |15-9| _____ |3 +4| 23) |-19| ____ |11| 24) |-1| ____ |0| 27) |-32| ____ |5x4| 25) |-15| ____ |16| 28) |15-8+7| ____ |7+9| 29) |16+9-11| ____ |11+ 6 -5| Integer Word Problems Directions: Answer the following problems involving integers. YOU MUST DRAW A VISUAL of the problem in addition to finding the answer. 1) You jump on the elevator on the 9th floor of the hotel. You travel down 5 floors, down another 5 floors, up 4 floors, down 3 floors, and then finally up 6 floors. On which floor do you end? ____________ 2) You are on a gigantic number line that is big enough for people to stand on and jump on. You start on the number line at -5. You jump 3 spots to the left, then you jump 7 spots to the right, next you jump 4 more spots to the right, 3 spots to the left, and finally 2 spots to the right. Which number are you on now? _____________ 3) You start at the top of a water slide which stands 39 feet above the surface of the pool water. After traveling down the slide you are going so fast that you hit the bottom of the pool, which is 15 feet below the surface of the pool water. How far did you travel from beginning to end? _________________ 4) A bird flying 125 feet above sea level notices a whale which is traveling 100 feet below sea level. The bird thinks that it would like to hang out with the whale. How far would the bird need to travel to hang out with the whale? ___________ 5) At the beginning of the day, the temperature is 25 degrees. By the end of the day the temperature drops 40 degrees. What is the temperature at the end of the day? _____________