Explanation for Question 18 From the Math (No Calc) Section on the 2017 May Sat
Question 18 asks for the solution four H. 2 So what that means is that we want to get H on its own. 3 We want to isolate H first step, 4 but we have to do here is distribute. 5 We distribute they'll have sapped. And when we do that, 6 we got 1.2 H plus 2.4. 7 That's still all equal to two H minus 1.2. 8 Now our goal is to get all like terms on the same side, 9 so we can add 1.2 to both sides. 10 And we get 1.2 11 H plus 2.4. 12 Plus 1.2 is 3.6 equals two H. 13 Now we want to get all the ages on the same size so we 14 can subtract 1.28 from each side, 15 and we get 3.6 equal 0.8 H 16 now to get H by itself, we divide both sides by 0.8, 17 and we got 3.6 over a 0.8 equals H those 18 of yours that you can further simplify this to get rid of the decimals. 19 I prefer to multiply, um, 20 both the top and the bottom by 10 to get rid of the decimal. 21 And that would look like this. So if you multiply it times 10 over 22 time, that's the same thing as one. 23 So that you're allowed to do that. It doesn't change the value and you 24 get 36 over eight equals H. 25 Now we have that fraction in a way that's a little bit more approachable. 26 We don't have decimals, which you can't really have, 27 um, infraction discussion denominator. 28 So it makes it easier to work with. 29 We still have to simplify though, to simplify. 30 We just want to find the greatest, um, 31 the factor between 36 and eight. 32 We know that 36 is not divisible by eight, 33 but they are both of us all by for both the numerator and the 34 denominator. We can divide by four. So we can do that to first, 35 simplify it a little bit and see if then we can go a little 36 farther. We divide 36 by four. 37 We got nine. What about eight by four? 38 We get two. So we get 902 equals H 39 we actually can simplify that further. That would be our final answer. 40 Age would be nine over to.