We'll be using y as the answer, pay attention and this'll
help you alot in Algebra I and II. We're going to try to isolate x.
1st Problem: 3x+5 = y
3x+5 = y
3x = y-5
x = (y-5)/3
2nd problem: 5-x2+12 = y
5-x2+12 = y
17-x2 = y
-x2 = y-17
x2 = 17-y
x = Square_Root(17-y)
3rd problem: 3x+x-10 = y
3x+x-10 = y
4x-10 = y
4x = y+10
x = (y+10)/4
4th problem: 8x*5x-20x2 = y
8x*5x-20x2 = y
40x2-20x2 = y
20x2 = y
x2 = y/20
x = Square_Root(y/20)
5th problem: 19x-32x+5 = y
19x-32x+5 = y
19x-9x+5 = y
10x+5 = y
10x = y-5
x = (y-5)/10
6th problem: (x-7x+x^2)/(2x) = y
(x-7x+x^2)/(2x) = y
(x-7x+x^2)/x = 2y
1-7+x = 2y
x-6 = 2y
x = 2y+6
x = 2(y+3)
7th problem: (x-5x+10)/(2+x) = y
(x-5x+10)/(2+x) = y
(10-4x)/(2+x) = y
10-4x = (2+x)y = 2y+xy
-4x = 2y+xy-10
x = (-2y-xy+10)/4
Guess and Check ?
8th problem: x-8+10x2 = y
x-8+10x2 = y
x+10x2 = y+8
x(1+10x) = y+8
x = (y+8)/(1+10x)
Guess and Check ?
9th problem: (x-8)2/(3+x) = y
(x-8)2/(3+x) = y
(x-8)2 = y(3+x)
x2-16x+64 = y(3+x)
x2-16x = y(3+x)-64
x(x-16) = y(3+x)-64
x = (y(3+x)-64)/(x-16)
Guess and Check ?
10th problem: (x+3)/(x/5) = y
(x+3)/(x/5) = y
5(x+3)/x = y
5(x+3) = yx
x = (5(x+3))/y
Guess and Check ?
In these problems x will always be a whole number between 1 and 100.