All ISEE Middle Level Quantitative Resources
Example Questions
Example Question #1 : How To Multiply Variables
Mulitply:
The FOIL method works nicely here:
Example Question #2 : How To Multiply Variables
Which quantity is greater?
and are equal
is greater
It is not possible to tell from the information given
is greater
is greater
is the greater amount.
Example Question #3 : How To Multiply Variables
Which quantity is greater?
is greater
and are equal
It is not possible to tell from the information given
is greater
is greater
is the greater amount.
Example Question #4 : How To Multiply Variables
Which quantity is greater?
and are equal
is greater
is greater
It is not possible to tell from the information given
and are equal
and are equal.
Example Question #5 : How To Multiply Variables
Which quantity is greater?
is greater
is greater
It is not possible to tell from the information given
and are equal
is greater
Use the distributive property to expand.
To compare the expressions, we can remove common factors. and are common in both expressions, so they can be removed:
Example Question #6 : How To Multiply Variables
Which quantity is greater?
It is not possible to tell from the information given
is greater
is greater
and are equal
is greater
Use the distributive property to evaluate and .
Since , we get:
is the greater quantity.
Example Question #7 : How To Multiply Variables
Which quantity is greater?
It is not possible to tell from the information given
is greater
is greater
and are equal
is greater
Use the distributive property to evaluate each quantity.
and are common in both expressions, so we can write:
is the greater quantity
Example Question #8 : How To Multiply Variables
Which quantity is greater?
It is not possible to tell from the information given
is greater
is greater
and are equal
and are equal
and are equal.
Example Question #33 : Isee Middle Level (Grades 7 8) Quantitative Reasoning
Which quantity is greater?
is greater
and are equal
is greater
It is not possible to tell from the information given
is greater
is the greater amount.
Example Question #10 : How To Multiply Variables
Which of the following is equivalent to ?
All four of the expressions given in the other responses are correct.
All four of the expressions given in the other responses are correct.
We demonstrate that all four of the expressions are equivalent to .
By the associative property of multiplication,
and
By combining like terms, and applying the distribution property: