[Video] Q14: 8 - i/ 3-2i if the expression above is rewritten in the form a +bi, where a and b are real numbers, what is the value of a ? (note: i = sqrt(-1))

Explanation for Question 14 From the Math (No Calc) Section on the Official Sat Practice Test 7

Question 14 says a shipping service restricts the dimensions of the boxes. 2 It will ship for a certain type of service. 3 The restriction states that for boxes shaped like wood, 4 like rectangular prisms, the, some of the perimeter of the base of the box 5 and the height of the box cannot exceed 130 inches. 6 The perimeter of the base is determined using the width and length of the 7 box. If the box of the height of 60 inches and its length is 8 2.5 times the width, which inequality shows the affordable with X 9 in inches of the box. So I've got a Henny drawn and rectangular prism 10 on the right here and filled in the information we know, 11 which is that height is 60 inches. 12 Uh, the length is, or the width is X or I've written it as 13 w inches. And that the, 14 uh, the length is 2.5 times that amount. 15 So I've written that as a 2.5 w um, 16 actually I'm just going to change these to extra. So it fits with the 17 inequality in the problem. So X and 2.5 X. 18 So I know that the perimeter of the bottle plus 60 is less than 19 or equal to 130. 20 So the perimeter of the box is 2.5 X plus X 21 times two, because we have to account for all four sizes. 22 That plus 60 is less than or equal to 130. 23 And this becomes five X plus two X or seven X plus 24 60 is less than or equal to one 30. 25 If you subtract 60 from both sides, 26 you get some acts is less than or equal to 70 and divide both 27 sides by ax to get that X is less than or equal to 10. 28 And of course it must be greater than zero. 29 So that means that the correct inequality here is answer.