ISEE Upper Level Quantitative : Algebraic Concepts
Study concepts, example questions & explanations for ISEE Upper Level Quantitative
All ISEE Upper Level Quantitative Resources
Example Questions
Example Question #51 : Equations
Define
Which is the greater quantity?
(a)
(b)
(a) is greater
(b) is greater
It is impossible to tell from the information given
(a) and (b) are equal
(a) and (b) are equal
(a) To evaluate 
(b) To evaluate 
Example Question #51 : How To Find The Solution To An Equation
To convert Fahrenheit temperature 
Which is the greater quantity?
(a)
(b)
It is impossible to tell from the information given
(b) is greater
(a) and (b) are equal
(a) is greater
(a) and (b) are equal
Convert 
Example Question #53 : Equations
Define
(a)
(b)
(b) is greater
(a) and (b) are equal
(a) is greater
It is impossible to tell from the information given
It is impossible to tell from the information given
Substitute 
The relationship of this expression to 0 is uncertain for positive 
Example Question #54 : Equations
Carl, the barista at Moose Jaw Coffee, has to mix together two kinds of coffee beans - Vanilla Heaven, which costs $10 a pound, and Mountain Goodness, which costs $15 a pound - to produce a coffee that costs $12 a pound. The beans in the mixture sell for the same price as they would separately.
Which is the greater quantity?
(a) The number of pounds of Vanilla Heaven beans he will use
(b) The number of pounds of Mountain Goodness beans he will use.
(a) is greater
It is impossible to tell from the information given
(a) and (b) are equal
(b) is greater
(a) is greater
Let 
We can solve for 
Two-thirds as much Mountain Goodness coffee goes into the mix as Vanilla Heaven.
Example Question #55 : Equations
Consider the line of the equation 
Which is the greater quantity?
(a) The slope of this line
(b) The slope of a line perpendicular to this line.
It is impossible to tell from the information given
(a) and (b) are equal
(a) is greater
(b) is greater
(a) is greater
The slope of the line can be found by rewriting it in slope-intercept form:
The slope of this line is the coeffcient of 
Example Question #56 : Equations
Define an operation 
For every real 
Which is the greater quantity?
(a)
(b)
(b) is greater
(a) and (b) are equal
It is impossible to tell from the information given
(a) is greater
(a) is greater
(a)
(b)
Example Question #57 : Equations
Quantity A: The number of days in 
Quantity B: The number of hours in 
Quantity A is greater.
The two quantities are equal.
Quantity B is greater.
There is not enough information to determine the relationship of the quantities.
Quantity A is greater.
Multiplying 
Example Question #51 : Algebraic Concepts
Jim has quarters and nickles that together total 
If Jim has 
The easiest way to solve this problem is to plug in the answer choices. If we plug in 
Example Question #51 : Algebraic Concepts
Quantity A: The mean of 
Quantity B: The mean of 
The relationship of the quantities cannot be determined from the information provided.
Quantity B is greater.
Quantity A is greater.
The two quantities are equal.
Quantity B is greater.
To find the mean, sum the terms and divide by the number of terms in the set.
Quantity A:
Quantity B:
Quantity B is larger.
Example Question #60 : Equations
When 
Cannot be determined
Cannot be determined
Pick a number for 
33 divided by 15 leaves a remainder of 3. 33 divided by 7 leaves a remainder of 5.
Let's try another number as well.
48 divided by 15 leaves a remainder of 3. 48 divided by 7 leaves a remainder of 6, which is different from the remainder left by 33.
Similarly, 63 divided by 15 leaves a remainder of 3. 63 divided by 7 leaves no remainder at all. Therefore, the answer cannot be determined.
All ISEE Upper Level Quantitative Resources
