GMAT Math : Problem-Solving Questions
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Example Questions
Example Question #25 : Real Numbers
Each of 
Which of the following diagrams demonstrates the distributive property?
If 
The distributive property of multiplication over addition is the idea that, if a number is multiplied by a sum, the result will be the same as if the products of that number and each individual addend are added. The diagram that demonstrates this is
Example Question #22 : Understanding Real Numbers
Each of 
Which of the following diagrams demonstrates an associative property?
If
Addition and multiplication are both associative, which means that a sum or product of three numbers will result in the same value regardless of which two are added or multiplied first. This is demonstrated in multiplication by the diagram
Example Question #1982 : Problem Solving Questions
Each of 
Which of the following diagrams demonstrates the transitive property?
If 
If 
If
According to the transitive property of equality, if two numbers are equal to the same third number, they are equal to each other. This is demonstrated by this diagram:
If 
Example Question #1983 : Problem Solving Questions
Each of 
Which of the following diagrams demonstrates the symmetric property?
If
If 
If
According to the symmetric property of equality, if one number is equal to another, the second is equal to the first. This is demonstrated by the diagram
If 
Example Question #1984 : Problem Solving Questions
Each of 
Which of the following diagrams demonstrates an identity property?
If
If 
0 is called the additive identity, since it can be added to any number to yield, as a sum, the latter number. This property is demonstrated in the diagram
Example Question #30 : Real Numbers
Which of the following is equivalent to
for all values of the variables?
If 
Substituting,
Example Question #431 : Arithmetic
Which of the following is equivalent to
for all values of the variables?
If 
It follows by way of the commutative and associative properties that
Example Question #31 : Understanding Real Numbers
for all values of the variables?
If 
By way of the distributive property and substitution,
Example Question #31 : Understanding Real Numbers
for all values of the variables?
If 
or, equivalently,
By way of substitution and the distributive property,
Example Question #34 : Real Numbers
Which of the following is equivalent to
for all values of the variables?
If 
By way of the commutative and associative properties, substitution, and the identity property of multiplication:
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