Ok so your first problem you are on the right track. Learn that 1/2 or "half" is = 0.5, and 1/4 or "fourth" = 0.25 . ( so you have 3 pieces that are 3.5 in length) & ( 5 pieces that are 2.25 in length)
Your total length is 24. So (3x3.5)+(5x2.25) = 10.5 +11.25 = 21.75. Take your total length ans subtract the cuts (24 - 21.75) = 2.25
Problem 2) 3 less = -3, twice x = 2x, two more = +2, 3 times x = 3 x, so (2x-3) & (3x+2)
Problem 3) 2x^3 -3xy =? , x=-1,y=2. ok so in this type of problem you just plug in the values given into the equation.
so since x=-1, y=2, 2x^3 -3xy = 2(-1^3)-3(-1)(2) = 2(-1)+6 = 4. So what happens was -1^3 is just (-1)x(-1)x(-1) multiplying by a negitive 1 just changes the sign .
you start with (-1)X(-1) = 1, now (1) X (-1) = -1 again. this is also why -(3)(-1)(2) = +(3)(2)
problem 4)
i=-1
3i(2+5i) = x+6i.<<<<<< is that i imaginary or just a variable?.. Ill assume this is just a variable at this point. This is the same as the last problem simply plug in -1 where ever you see i
(3)(-1)(2+5(-1) = x +(6)(-1)
-3(2-5) = x -6
-6+15 = x - 6<<< distribute the -3
-6+6 +15 = x
15=x