All ISEE Middle Level Quantitative Resources
Example Questions
Example Question #54 : How To Find The Solution To An Equation
Which is the greater quantity?
(a)
(b)
(a) and (b) are equal
(b) is the greater quantity
(a) is the greater quantity
It is impossible to determine which is greater from the information given
(a) is the greater quantity
Example Question #55 : How To Find The Solution To An Equation
Solve for :
Example Question #56 : How To Find The Solution To An Equation
Solve the equation:
To solve to the equation isolate the variable on one side of the equation with all other constants on the other side. To accomplish this perform opposite operations to manipulate the equations.
First subtract 18 from both sides.
Now divide by 8 on both sides.
Example Question #52 : How To Find The Solution To An Equation
Which is the greater quantity?
(a)
(b)
(a) and (b) are equal
(b) is the greater quantity
It is impossible to determine which quantity is the greater from the information given
(a) is the greater quantity
It is impossible to determine which quantity is the greater from the information given
However, without further information, we cannot determine whether this is greater than . For example,
is consistent with the information, and .
is consistent with the information, and .
Example Question #58 : How To Find The Solution To An Equation
Which is the greater quantity?
(a)
(b)
It is impossible to determine which is greater from the information given
(b) is the greater quantity
(a) is the greater quantity
(a) and (b) are equal
(b) is the greater quantity
It is not necessary to find and to answer this question.
.
Example Question #53 : How To Find The Solution To An Equation
is positive.
Which is the greater quantity?
(a)
(b)
(b) is the greater quantity
(a) is the greater quantity
(a) and (b) are equal
It is impossible to determine which is greater from the information given
(b) is the greater quantity
,
so
and
,
so
If , then, since ,
and
.
Example Question #60 : How To Find The Solution To An Equation
Which is the greater quantity?
(a)
(b)
It is impossible to determine which is greater from the information given
(a) is the greater quantity
(b) is the greater quantity
(a) and (b) are equal
(a) and (b) are equal
Example Question #181 : 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 #181 : Algebraic Concepts
is a positive number; is the additive inverse of .
Which is the greater quantity?
(a)
(b)
(a) and (b) are equal
(b) is the greater quantity
It is impossible to determine which is greater from the information given
(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
.
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