All ISEE Lower Level Quantitative Resources
Example Questions
Example Question #31 : Algebraic Concepts
Which equation first the description?
Half of the difference of and a number is .
In order to choose the right answer, you must know which mathematical operations each of these words refer to:
"Half of": Divide by two
"Difference": Subtract a number
"A number" or "An unknown number": The unknown number is a variable; let's call it
"is" or "is equal to": add an equal sign
So, in the problem "Half of the difference of and a number is ," we are looking for half of "the difference of 20 and a number". That is written as:
If that is equal to , the answer is:
Example Question #31 : How To Find The Solution To An Equation
Which equation fits the description?
The sum of two different numbers and is .
In order to choose the right answer, you must know which mathematical operations each of these words refer to:
"Sum": Add numbers
"A number" or "An unknown number": The unknown number is a variable; let's call it
"Is" or "is equal to": add an equals sign
So, in the problem "The sum of two different numbers and is ," we are looking to add two different variables to that will equal .
The answer cannot be because the problem asks for two different variables. represents two of the same number.
The answer is
Example Question #32 : How To Find The Solution To An Equation
Solve for :
To solve an equation, first combine like terms. Move the over to the other side of the equation by adding .
Next, remove the from the variable by dividing by .
The answer is .
Example Question #33 : How To Find The Solution To An Equation
Solve for :
To solve an equation, first combine like terms. Move the over to the other side of the equation by adding .
Next, remove the from the variable by dividing by .
The answer is .
Example Question #34 : How To Find The Solution To An Equation
Solve for :
To solve an equation, first combine like terms. Move the over to the other side of the equation by adding .
Next, remove the from the variable by dividing by .
The answer is .
Example Question #32 : Algebraic Concepts
The sum of and 6 is 56. What is the number?
"The sum of and is " can be represented by the equation:
To solve an equation, first combine like terms. Move the to the other side of the equation by adding .
The answer is .
Example Question #36 : How To Find The Solution To An Equation
Solve for :
To solve an equation, first combine like terms. Move the over to the other side of the equation by adding .
Next, remove the from the variable by dividing by .
The answer is .
Example Question #33 : Algebraic Concepts
What is the value of in the equation ?
To solve for , you must get it alone on one side.
Start by subtracting both sides by .
Multiply both sides by .
Example Question #34 : Algebraic Concepts
What is the value of in the equation ?
Start by subtracting from both sides.
Multiply both sides by .
Example Question #35 : Algebraic Concepts
What is the value of in the equation ?
To solve for , you will need to get it alone on one side.
Start by adding to both sides.
Divide both sides by .
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