All ISEE Upper Level Math Resources
Example Questions
Example Question #151 : Equations
Solve for  in this equation:
In order to solve for , cross multiplication must be used. Applying this, the equestion to be solved will be:
Next, each side is divided by 3.Â
Next, each side is squared.Â
Example Question #852 : Isee Upper Level (Grades 9 12) Mathematics Achievement
Solve for :
The first step to solve for x is to multiply each side by 5x. This results in:
Divide each side by 5.Â
Next, take the square root of each side. This results in:
Example Question #851 : Isee Upper Level (Grades 9 12) Mathematics Achievement
What is the solution to the equation ?
To start, use the distributive property on the left side: , so that you then have
. Then, combine like terms to get
so that your final answer is
Example Question #154 : How To Find The Solution To An Equation
Which of the following equations has as its solution set  ?
The absolute value of a nonnegative number is the number itself; the absolute value of a negative number is its positive opposite.
By substitution, 20 can be seen to be a solution of each of the equations in the four choices.
 - true.
20 can be confirmed as a solution to the other three equations similarly. Therefore, the question is essentially to choose the equation with  as a solution. SubstitutingÂ
 forÂ
 in each equation:
 - true. This is the correct choice.
As for the other three:
 - false.Â
The other two equations can be similarly proved to not have  as a solution.
Example Question #851 : Isee Upper Level (Grades 9 12) Mathematics Achievement
What is one tenth of ?
; taking the reciprocal of both sides,Â
One tenth of  isÂ
Example Question #156 : How To Find The Solution To An Equation
What is one sixth of ?
Take the reciprocal of both sides of the equation, then solve:
One sixth of this isÂ
Example Question #851 : Isee Upper Level (Grades 9 12) Mathematics Achievement
Give the solution set of the equation
The set of all real numbers
The equation has no solution
The equation has no solution
Since it is impossible for the absolute value of a number to be negative, the equation has no solution.
Example Question #158 : How To Find The Solution To An Equation
How many real solutions does the equationÂ
have?
One
None
TwoÂ
Three
TwoÂ
One of two things must happen - either
orÂ
This gives this equation two real solutions - the solutions to these two equations.
Example Question #159 : How To Find The Solution To An Equation
Give the solution set of the equation
'
The quadratic trinomial can be factored using the  method by looking for two integers whose sum is 13 and whose product isÂ
. Throught trial and error, we see that these integers areÂ
 and 21, so we continue:
One of the factors must be equal to 0, so either:
or
Â
The correct choice is .
Example Question #160 : How To Find The Solution To An Equation
List all real solutions of the equation
No real solutions
By the Zero Product Principle:
, in which caseÂ
,
or
, in which caseÂ
.
The correct choice is .
All ISEE Upper Level Math Resources
