Math 7 4Q Benchmark Test Study Guide – Key 1.) Mean = 16.1; Median = 15; Mode = 15; Range = 17 2.) Set 3 & 4 3.) Construct the box-and-whisker plot using: LE = 5, LQ = 8, Median = 10, UQ = 13, UE = 15. 4.) 127 5.) Positive correlation. As the time studied increases, the test scores increase. 6.) 25y + 19x 7.) 3a + 10b 8.) 8 hours 9.) 110 miles (85 paid miles and 25 free miles) 10.) n = 21 11.) Possible answer: (0,5), (1,7), (2,9), (3,11) 12.) 20 13.) 8 14.) -5 -4 -3 -2 -1 0 1 2 3 4 5 15.) -27/64 16.) -3 17.) x = -10 18.) w = 6 19.) n – 5 = 14 20.) x = -4 21.) x + x + x + 4 = 3x + 4 22.) circles and triangle 23.) draw a transversal line through line AB 24.) are the same shape, have corresponding angles that are congruent, and have corresponding side that are proportional 25.) rectangular prism and/or cylinder 26.) rectangle, rectangle, cone 27.) Shape Vertical horizontal Square pyramid Cone Cube Cylinder 28.) 29.) 30.) 31.) 32.) 33.) 34.) 35.) 36.) 37.) 38.) 39.) 40.) 41.) 42.) Triangle Triangle Square Rectangle Square Circle Square Circle Rectangle and triangle; cannot be circle, square, trapezoid, ect. Sketch perpendicular bisector Sketch angle bisector C’ (-3,3) A’ (-2,2), B’ (-3,-2), C’ (-1,-1) C’ (7,7) D ½ 4:25 4:5 9:16 = 0.5625 (1,2) (-2,1.5) (2.5,3) (5,12.5) y = 48/x and y = 6 y = 4x and y = 12 43.) 44.) 45.) Direct variation – as x increases y increases; as x decreases y decreases by the same factor. Indirect variation – as x increases y decreases; as x decreases, y increases by the same factor. Indirect; direct Indirect variation because as the number of students given the scholarship increases, the amount each receives decreases. 28.6 mph 46.) 47.) Variation Direct Equation Table Y = kx as x increases y increases; as x decreases y decreases by the same factor. Indirect Y = k/x as x increases y decreases; as x decreases, y increases by the same factor. 48.) Answers will vary. Graph A straight line that goes through the origin. Curved, does not touch the y or x axis Movement As one increases the other increases As one increase the other decreases