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Example Questions
Example Question #422 : Algebra
The function is given as
. If
, what is the value of
?
This is a simple substitution problem. Begin by setting the function equal to
:
Solve for :
A common mistake at this point is to believe that you have finished the question. We are given that . We must now substitute
for
and solve for
:
Subtract 2 from both sides:
The answer is .
Example Question #41 : Evaluating And Simplifying Expressions
Which of the following numbers is eight more than half of itself?
24
16
4
8
10
16
Word problems like this are a common occurrence on the PSAT. Begin by setting the number we are looking for, let's call it , equivalent to the equation we are given in the words.
Move all terms with the variable to one side:
Multiply both sides by 2:
The correct answer is 16.
Example Question #42 : Evaluating And Simplifying Expressions
Fahrenheit temperature can be converted to its Celsius equivalent using the formula
.
Celsius temperature can be converted to its Fahrenheit equivalent using the formula
.
Mercury boils at . To the nearest degree, convert this to its equivalent Fahrenheit temperature.
None of the other responses is correct.
The formula to use is
.
Substitute 357 for :
To the nearest degree, this is .
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