SAT Math : Simplifying Expressions
Study concepts, example questions & explanations for SAT Math
All SAT Math Resources
Example Questions
Example Question #2573 : Sat Mathematics
Which of the following could be the relationship between 
In both expressions, the trinomial in 
Taking the square root of both sides of this latter equation:
and
and
Taking the square root of both sides of this latter equation:
and
By transitivity,
Square both sides:
so one of two things is possible:
or
This makes
the correct choice.
Example Question #2574 : Sat Mathematics
Express 
Since 
Since 
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 #111 : 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:
Certified Tutor
All SAT Math Resources
