SAT Math : SAT Mathematics
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Example Question #41 : Simplifying Expressions
If 
By substitution,
Example Question #42 : Simplifying Expressions
If 
The common difference of the sequence can be found by subtracting the first term from the second:
Add twice this to the second term to get the fourth term:
Example Question #43 : Simplifying Expressions
Now define a sequence as follows:
For all 
Give the fourth term of the sequence.
Each term, beginning with the third, is the sum of the previous two terms. Therefore, the third term is:
Example Question #801 : Algebra
Express 
Substituting twice:
Example Question #802 : Algebra
Which of the following expressions is equivalent to 
None of the other responses gives a correct answer.
Since we are given 
Remember to distribute the negative sign that is in front of the second binomial to each term within the parentheses.
From here, combine like terms to completely simplify the expression.
Example Question #46 : Simplifying Expressions
If 
The purpose of this question is to practice using the correct order of operations, which is the proper way to simplify this expression. Using PEMDAS (parentheses, exponent, multiplication, division, addition, subtraction) the parentheses are simplified first, making the expression into
Then the addition and subraction are utilized, leaving
After that, the '6A' and '5' terms will be moved to the other side of the equation to isolate 2B,
Then dividing by two to isolate the B, it leaves the answer as
Example Question #811 : Algebra
A utility company charges "F" dollars in fees every month, just for having an account. On top of this, they charge "a" dollars per kgal for the first 
Joaquin pays a dollars per kgal for the first 100 kgal only, so a(100) should be a term in our final answer.
Since he pays b dollars per kgal only for the kgal AFTER the first 100, he gets charged for g - 100 kgal at rate b. This means b(g-100) will also be in our final expression.
Finally, we simply add on the F dollars in fees, no need to multiply this by anything since it is a flat charge each month.
Example Question #121 : Expressions
Joaquin is screening a movie marathon. To attend, each guest (a) will be charged 
Since Joaquin makes $5 from every admission, we need the term 5a in our solution, and this value should also be positive, since Joaquin makes money from each ticket sold.
Since each movie costs only $1 to see, 1m or simply m must also be in our equation. Again, this value is positive since it is adding to Joaquin's ever-growing profits.
Finally, the $130 is a loss for him, so this value must be negative.
Only one equation listed fits those perameters:
Example Question #811 : Algebra
A small business can produce w widgets, worth d dollars each, in m minutes. How long would it take to produce 
Dimensional anaysis can be used to find the answer to this one. Begin with what is given:
$500
Then use our conversion factor given, d dollars = 1 widget.
We then add our other two conversion factors; w widgets = 1 production cycle and; m minutes = 1 prodction cycle. We position the factors so that all units cancel except minutes (our desired solution).
Example Question #2581 : Sat Mathematics
Simplify the expression:
In order to simplify an expression, we rearrange it to put terms with the same base or type of variable together, then add or subtract accordingly. For this problem that would look like this:
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