All ISEE Middle Level Quantitative Resources
Example Questions
Example Question #21 : How To Find The Solution To An Equation
Which is the greater quantity?
(A)
(B)
(A) and (B) are equal
(A) is greater
(B) is greater
It is impossible to determine which is greater from the information given
(B) is greater
, so (B) is greater.
Example Question #22 : How To Find The Solution To An Equation
Which is greater?
(A)
(B)
(A) and (B) are equal
It is impossible to determine which is greater from the information given
(B) is greater
(A) is greater
(B) is greater
, so (B) is the greater quantity.
Example Question #21 : Equations
How many elements of the set can be substituted for to make the inequality a true statement?
None
One
Three
Two
Four
None
None of choices fit this criterion, so the correct answer is none.
Example Question #22 : Equations
How many elements of the set can be substituted for to make the inequality a true statement?
Two
Five
Four
None
One
One
(Note that the inequality symbol switches here)
Of the elements of , only fits this criterion.
Example Question #25 : How To Find The Solution To An Equation
If , then how many integers can be substituted for to make the equation a true statement?
Zero
Infinitely many
It cannot be determined from the information given
Two
One
One
If , the equation can be rewritten and solved as follows:
This is the only number that makes this statement true, so the correct choice is "one".
Example Question #26 : How To Find The Solution To An Equation
If , then how many integers can be substituted for to make the equation a true statement?
Zero
Two
Six
Three
One
One
If , then the equation can be rewritten and solved as follows:
The only integer that can be cubed to yield the result is , so the correct response is "one".
Example Question #22 : Equations
If , then how many integers can be substituted for to make the equation a true statement?
It cannot be determined from the information given
Zero
One
Two
Infinitely many
Two
If , the equation can be restated and solved as follows:
Both and make this true, so both make the original statement true. "Two" is the correct choice.
Example Question #21 : Equations
How many elements of the set can be substituted for to make the inequality a true statement?
Four
Five
Two
One
Three
One
Of the elements of the set , only fits this criterion, making "one" the correct choice.
Example Question #29 : How To Find The Solution To An Equation
Which is the greater quantity?
(A)
(B)
(A) is greater
(A) and (B) are equal
(B) is greater
It is impossible to determine which is greater from the information given
(A) is greater
Since , .
, so (A) is greater.
Example Question #23 : Equations
If , then how many integers can be substituted for to make the equation a true statement?
One
Four
Two
Infinitely many
Zero
Infinitely many
If , this can be rewritten as
However, since zero multiplied by any number yields a product of zero, this is a true statement for all values of . This makes "infinitely msny" correct.
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