HSPT Quantitative : How to make non-geometric comparisons
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Example Questions
Example Question #41 : How To Make Non Geometric Comparisons
Examine (a), (b), and (c) to find the best answer:
a)
b)
c)
When simplifying the expressions, follow the order of operations: parentheses, exponents, multiplication, then addition.
a) 
b) 
c) 
Therefore (a) is smaller than (c), which is smaller than (b).
Example Question #42 : How To Make Non Geometric Comparisons
Examine (a), (b), and (c) to find the best answer:
a) 
b) 
c) 
Calculate the expressions to compare the values:
a) 
b) 
c) 
Therefore (a) is greater than (b), which is greater than (c).
Example Question #84 : Hspt Quantitative Skills
Examine (a), (b), and (c) to find the best answer:
a) 
b) 
c) 
(a), (b), and (c) are all unequal
(a), (b), and (c) are all equal
(a) is equal to (b)
(a) is equal to (c)
(a) is equal to (c)
Calculate the expressions to compare the values:
a) 
b) 
c) 
(a) and (c) are equal, but (b) is not
Example Question #43 : How To Make Non Geometric Comparisons
Examine (a), (b), and (c) to find the best answer:
a)
b)
c)
(a) is equal to (c).
(a), (b), and (c) are all equal.
(a) is equal to (b).
(a), (b), and (c) are all unequal.
(a) is equal to (c).
Simplify each of the expressions to see if they are equal:
a)
b)
c)
Therefore (a) is equal to (c), but not (b).
Example Question #86 : Hspt Quantitative Skills
Examine (a), (b), and (c) to find the best answer:
a) 
b)
c)
Calculate all the expressions to compare the values:
a) 
b) 
c) 
Therefore (c) is greater than (a), which is greater than (b).
Example Question #87 : Hspt Quantitative Skills
Examine (a), (b), and (c) to find the best answer:
a)
b)
c)
(a), (b), and (c) are all equal
(a) is equal to (c) but not (b)
(a) is equal to (b) but not (c)
(a), (b), and (c) are all unequal if
(a), (b), and (c) are all unequal if
Try substituting a number in for 
(a)
(b)
(c)
None are equal!
If we use 
Example Question #88 : Hspt Quantitative Skills
Examine (a), (b), and (c) to find the best answer:
a) 
b) 
c) 
Calculate each fraction to compare the values:
a) 
b) 
c) 
Therefore (b) is smaller than (a), which is smaller than (c).
Example Question #44 : How To Make Non Geometric Comparisons
Examine (a), (b), and (c) to find the best answer:
a)
b)
c)
(a), (b), and (c) are all equal.
(a) is equal to (c) but not (b).
(a), (b), and (c) are all unequal.
(a) is equal to (b) but not (c).
(a) is equal to (b) but not (c).
Distribute (a) to compare it to (b) and (c)
a) 
b)
c)
Therefore (a) is equal to (b), but not (c).
Example Question #45 : How To Make Non Geometric Comparisons
Examine (a), (b), and (c) to find the best answer:
a)
b)
c)
(a), (b), and (c) are all equal
(a) is equal to (c) but not (b)
(a), (b), and (c) are all not equal
(b) is equal to (c) but not (a)
(a), (b), and (c) are all not equal
Distribute (c) to compare it to (a) and (b):
a)
b)
c) 
Simplified, it is evident that all three equations are not equal. You can also try substituting a number in for 
Example Question #46 : How To Make Non Geometric Comparisons
Examine (a), (b), and (c) to find the best answer:
a) 
b) 
c) 
Calculate the expressions to compare the values:
a)
b)
c)
Notice that (c) is estimated. The real value is slightly lower. We do not need to go through the exact calculation to compare these values, however. It is clear that (b) is smaller than (a), which is smaller than (c).
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