All SAT Math Resources
Example Questions
Example Question #283 : New Sat
Calculate the slope of the line.
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 #282 : New Sat
What equation best represents the following table?
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 #321 : 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?
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?
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 #228 : New Sat
Solve
First multiply by the denominator on each side
Expand left side, and solve for