All SAT Math Resources
Example Questions
Example Question #2801 : Sat Mathematics
Which of the statements describes the solution set for –7(x + 3) = –7x + 20 ?
x = –1
All real numbers are solutions.
There are no solutions.
x = 0
There are no solutions.
By distribution we obtain –7x – 21 = – 7x + 20. This equation is never possibly true.
Example Question #11 : How To Find F(X)
Will just joined a poetry writing group in town that meets once a week. The number of poems Will has written after a certain number of meetings can be represented by the function , where
represents the number of meetings Will has attended. Using this function, how many poems has Will written after 7 classes?
For this function, simply plug 7 in for and solve:
Example Question #2801 : Sat Mathematics
If what is
Example Question #2802 : Sat Mathematics
If , find the value of
.
f(4) = 4 + 1/4 = 16/4 + 1/4 = 17/4
Example Question #2803 : Sat Mathematics
If and
, what is
?
132
104
100
20
19
132
g is a function of f, and f is a function of 3, so you must work inside out.
f(3) = 11
g(f(3)) = g(11) = 121 + 11 = 132
Example Question #2804 : Sat Mathematics
Jamie buys a new fish tank. It is 45% full. She adds seven more liters of water, and it is 65% full. What is the capacity of Jamie's new fish tank?
None of the other answers are correct.
35 liters
27 liters
48 liters
22 liters
35 liters
The algebraic expression for x, the capacity of the fishtank is:
The capacity of the fishtank is 35 liters.
Example Question #2804 : Sat Mathematics
When we multiply a function by a constant, we multiply each value in the function by that constant. Thus, 2f(x) = 4x + 12. We then subtract g(x) from that function, making sure to distribute the negative sign throughout the function. Subtracting g(x) from 4x + 12 gives us 4x + 12 - (3x - 3) = 4x + 12 - 3x + 3 = x + 15. We then add 2 to x + 15, giving us our answer of x + 17.
Example Question #61 : How To Find F(X)
Given the following functions, evaluate .
Example Question #61 : How To Find F(X)
The point is one of the points of intersection of the graphs of
and
. Given that
and
, find the value of
.
Since it’s given than , we know that
. We now know that (3, 7) is a point of intersection. Therefore,
as well. In other words,
, so
.
Example Question #101 : Algebraic Functions
Consider these functions:
Which of the following is equivalent to ?
All SAT Math Resources
