Algebraic Concepts
ISEE Middle Level Quantitative Reasoning · Learn by Concept
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ISEE Middle Level Quantitative Reasoning › Algebraic Concepts
Solve the equation:
Explanation
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.
What is the pattern for the numbers in the X column to the numbers in the Y column?
Add
Add
Multiply
Add
Explanation
To find the rule, you may have to do some trial and error. The most important thing to remember is, once you think you have the rule, make sure to test the rule with all of the X values.
Which of the following phrases can be written as the algebraic expression 
The sum of a number and seven subtracted from one hundred
The difference of a number and seven added to one hundred
The difference of seven and a number added to one hundred
One hundred subtracted from the sum of a number and seven
The correct answer is not given among the other responses
Explanation
Therefore,
Which of the following phrases can be written as the algebraic expression
The sum of a number and seven subtracted from one hundred
The difference of a number and seven added to one hundred
The difference of seven and a number added to one hundred
One hundred subtracted from the sum of a number and seven
The correct answer is not given among the other responses
Explanation
Therefore,
Which is greater?
(A)
(B)
(B) is greater
(A) is greater
(A) and (B) are equal
It is impossible to determine which is greater from the information given
Explanation
Therefore 
Solve for 
Explanation
Which is the greater quantity?
(a)
(b)
(a) is the greater quantity
(b) is the greater quantity
(a) and (b) are equal
It is impossible to determine which is greater from the information given
Explanation
Solving both equations:
Evaluate 
Explanation
Which is the greater quantity?
(a)
(b)
(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
Explanation
Which is the greater quantity?
(a)
(b)
(a) is the greater quantity
(b) is the greater quantity
(a) and (b) are equal
It is impossible to determine which is greater from the information given
Explanation
Solving both equations: