You can write this as two equations by saying the positive and negative of the inside of the absolute value is equal to 15. This will give 2y - 2 = 15 and -(2y-2) = 15. For the first equation we add two to both sides to get 2y - 2 +2 = 15 + 2. This givese you 2y = 17. We...

First let's get the variable y all onto one side. We do this by subtracting y from each side to get
3y - y = y - y + 10. This gives us 2y = 10. Then we divide each side by 2 and get 2y/2 = 10/2 and get
y = 5. We then check our answer by substituting 5 into...

|x| = 0 means that x has to be equal to either the negative or positive value. This is called the absolute value. 0 is not negative or positive and therefore the equation has one solution. The solution is x = 0.

9) Percent change is the amount of change with respect to the old price. The equation is % change =
100*(new - old)/old = 100*(new/old - 1). We then plug in 70 for old and 49 for new and get 100*(49/70-1) = -30. The perecent change is -30%.
10. We have the original...

In this problem the key idea you have to understand is order of operations. Let's review: Anything in parenthesis is done first. Multiplication and division is done before addition and subtraction. With these two rules we can do this problem. x = 52/17 + 5(7+9)...

Let's consider a problem of adding apples and oranges. If I have 3 apples and a friend gives you 2 more apples you have 3+2 = 5 apples. Now let's say you have 3 apples and a friend gives you 4 oranges. How many apples do you have? You have 3 + 0 = 3 apples. You...

This is a simple plug in 4 for x question. We then have 8*42 = 8*4*4 = 128.