Probably, yes, though it's possible your teacher has given you a trick question! You should ALWAYS graph the shape you're rotating, either by using your graphing calculator or sketching on paper. Visualizing what you're doing clearly can help you avoid all sorts of problems. With...

I'm not sure if you mean 1/[4(x +1/2)] - 2/[3(x - 1/6)] - 1/2 , with the parentheses in the denominators, or (1/4)(x+1/2) - (2/3)(x-1/6) - 1/2, which means the fractions are simply next to the parentheses. I'm going the guess you mean the second one! Also, there's no equal sign...

The Always Works approach for percent problems like these is to set it up as a fraction problem:
percentage / 100 = part / whole
For any problem, you'll know two of these, and have to find the last. In this case you know the partial price of the suit - that is, you know the price that...

-7(1-4m) = 13(2m-3)
The first thing you want to do it get rid of those parenthesis. You can do this by distributing the -7 and the 13. That means multiplying the -7 by each term inside it's parenthesis (the 1 and the -4m), and doing the same with the 13 on its side:
-7 +...

Solve |2y - 2| = 15
The least confusing way to solve an absolute value problem is to split it into two problems, one for the positive possibility, and one for the negative. So, we'd split this problem into these two problems:
2y - 2 = 15 ...

-4 < -2x + 4 < 12
With one exception (which we'll get to), inequalities work exactly like equations.
If you had:
-2x + 4 = 12
you would have no problem solving that.
First, you would subtract 4 from both sides:
-2x = 8
Then, you would divide both sides by...

Can you edit this? I understand that you have a parallelogram, with a top edge that is 52 and bottom edge that is 70. But I don't understand the rest of what you say! What about a line from x to z?

This does depend on what you're asked to do with this equation. There is no "answer", based on the information given, you can just rewrite the equation in different forms.
What you have right now is "slope-point form". It writies a line in the form (y - y1) = m(x - x1) ....

Solving inequalities is very much like solving equations!
If you had 9 + x = 17 , you would subtract 9 from both sides, and get x = 8 , no problem.
If you have 9 + x < 17 , you do the same thing! Subtract 9 from both sides, and get
x < 8 !
The problem you have is...

5/8 x - 7/12 = 0
Short answer:
5/8 x - 7/12 = 0
Add 7/12 to both sides.
5/8 x = 7/12
Divide 5/8 from both sides.
x = (7/12) / (5/8)
Remember, you divide fractions by flipping the second and multiplying.
x = (7/12) * (8/5) = 56/60
Reduce by dividing...