## Example Questions

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### Example Question #101 : Linear / Rational / Variable Equations Calculate the slope of the line.      Explanation:

In order to solve for the slope, we need to recall how to find the slope of a line. , where are points on the line.

So we will pick , and . ### Example Question #101 : How To Find The Solution To An Equation What equation best represents the following table?      Explanation:

The first step is to find the common ratio amongst the data.     We can that the common ratio is .

Now we need to set up an equation that will give an answer for any time.

We can set up an exponential decay model, the general equation is, , where is the starting amount, is the common ratio and is time.

After plugging our numbers in, we get  ### Example Question #141 : Algebra

Sally sells custom picture frames.  Her monthly fixed costs are $350. It costs$10 to make each frame.  Sally sells her picture frames for \$35 each.

How many picture frames must Sally sell in order to break even?      Explanation:

The break-even point is where the costs equal the revenues.

Let = # of frames sold

Costs: Revenues: Thus, So 14 picture frames must be sold each month to break-even.

### Example Question #102 : Algebra

8 is 3 greater than the square root of an unknown number. What is the unknown number?      Explanation:

In order to solve for the unknown number, you must write an equation and solve for a variable. 8 is 3 greater than the square root of an unknown number translates to To solve for a you must subtract 3 from both sides, and then square both sides.

As you can see, and So, the value of the unknown number is 25.

### Example Question #102 : How To Find The Solution To An Equation

Solve      Explanation: First multiply by the denominator on each side  Expand left side, and solve for    1 2 3 4 5 6 7 8 9 11 Next →

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