All ISEE Middle Level Quantitative Resources
Example Questions
Example Question #184 : Isee Middle Level (Grades 7 8) Quantitative Reasoning
Solve for :
Apply the properties of equality to both sides of the equation as follows in order to isolate on the left side, keeping in mind the rules for signed integer arithmetic:
Move the decimal points two places right in each of the two numbers, then divide:
Example Question #62 : Equations
Which is the greater quantity?
(a)
(b)
(a) and (b) are equal
It is impossible to determine which is greater from the information given
(a) is the greater quantity
(b) is the greater quantity
(b) is the greater quantity
Isolate on one side of the first equation by dividing both sides by the coefficient of :
Divide by moving the decimal points right two places in order to make the divisor an integer:
Similarly:
, so
;
that is, .
Example Question #185 : Isee Middle Level (Grades 7 8) Quantitative Reasoning
is a positive number; is the additive inverse of .
Which is the greater quantity?
(a)
(b)
It is impossible to determine which is greater from the information given
(a) and (b) are equal
(b) is the greater quantity
(a) is the greater quantity
(b) is the greater quantity
If is the additive inverse of , then, by definition,
.
Therefore, after distribution,
.
If is a positive number, then its additive inverse, , must be negative. Therefore, , as the product of two numbers of unlike sign, is negative. Multiply this by the positive number 7 and the result is also negative, so
,
and
.
Example Question #61 : How To Find The Solution To An Equation
Solve for
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