SAT Math : SAT Mathematics
Study concepts, example questions & explanations for SAT Math
All SAT Math Resources
Example Questions
Example Question #1 : How To Use Foil
Expand the following expression:
Expand the following expression:
Let's begin by recalling the meaning of FOIL: First, Outer, Inner, Last.
This means that in a situation such as we are given here, we need to multiply all the terms in a particular way. FOIL makes it easy to remember to multiply each pair of terms.
Let's begin:
First:
Outer:
Inner:
Last:
Now, put it together in standard form to get:
Example Question #2351 : Sat Mathematics
If 
43 = 64
Alternatively written, this is 4(4)(4) = 64 or 43 = 641.
Thus, m = 3 and n = 1.
m/n = 3/1 = 3.
Example Question #2352 : Sat Mathematics
Write the following logarithm in expanded form:
Example Question #3 : How To Find A Ratio Of Exponents
If 
This question is asking you for the ratio of m to n. To figure it out, the easiest way is to figure out when 4 to an exponent equals 8 to an exponent. The easiest way to do that is to list the first few results of 4 to an exponent and 8 to an exponent and check to see if any match up, before resorting to more drastic means of finding a formula.
And, would you look at that. 
Example Question #1 : Squaring / Square Roots / Radicals
Simplify:
If you don't already have the pattern memorized, use FOIL. It's best to write out the parentheses twice (as below) to avoid mistakes:
Example Question #2353 : Sat Mathematics
Simplify the radical.
We can break the square root down into 2 roots of 67 and 49. 49 is a perfect square and reduces to 7.
Example Question #2 : Squaring / Square Roots / Radicals
Simplify:
If you don't already have the pattern memorized, use FOIL. It's best to write out the parentheses twice (as below) to avoid mistakes:
Example Question #1 : How To Factor A Common Factor Out Of Squares
x2 = 36
Quantity A: x
Quantity B: 6
Quantity A is greater
Quantity B is greater
The two quantities are equal
The relationship cannot be determined from the information given
The relationship cannot be determined from the information given
x2 = 36 -> it is important to remember that this leads to two answers.
x = 6 or x = -6.
If x = 6: A = B.
If x = -6: A < B.
Thus the relationship cannot be determined from the information given.
Example Question #511 : Algebra
According to Heron's Formula, the area of a triangle with side lengths of a, b, and c is given by the following:
where s is one-half of the triangle's perimeter.
What is the area of a triangle with side lengths of 6, 10, and 12 units?
8√14
14√2
48√77
12√5
4√14
8√14
We can use Heron's formula to find the area of the triangle. We can let a = 6, b = 10, and c = 12.
In order to find s, we need to find one half of the perimeter. The perimeter is the sum of the lengths of the sides of the triangle.
Perimeter = a + b + c = 6 + 10 + 12 = 28
In order to find s, we must multiply the perimeter by one-half, which would give us (1/2)(28), or 14.
Now that we have a, b, c, and s, we can calculate the area using Heron's formula.
Example Question #2354 : Sat Mathematics
Simplify the radical expression.
Look for perfect cubes within each term. This will allow us to factor out of the radical.
Simplify.
Certified Tutor
Certified Tutor
All SAT Math Resources
