HSPT Math : HSPT Mathematics
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Example Questions
Example Question #591 : Problem Solving
Evaluate:
In order to combine like terms correctly, it is necessary to simplify every term and eliminate the parentheses. Double negatives equal a positive sign.
Combine like terms. The answer is:
Example Question #592 : Problem Solving
Note: Public domain map from CIA World Factbook.
Refer to the above time zone map. The numbers along the top represent the difference, in hours, between the given time zone and Greenwich Mean Time (the time zone for the United Kingdom).
Which of the following expressions gives the time difference, in hours, between Paris and Dallas?
A difference is the result of a subtraction. The time difference between the two cities will be the result of subtracting the numbers along the top of the map for their respective time zones, and taking the absolute value of the difference. The numbers for Paris and Dallas, respectively, are 1 and 
Example Question #593 : Problem Solving
Note: Public domain map from CIA World Factbook.
Refer to the above time zone map. The numbers along the top represent the difference, in hours, between the given time zone and Greenwich Mean Time (the time zone for the United Kingdom).
A flight took off from Winnipeg, Canada at 5:00 PM and took 7 hours to get to the Azores. What time was it in the Azores when it landed there?
7:00 AM
5:00 AM
7:00 PM
5:00 PM
5:00 AM
The time difference between Winnipeg and the Azores is the result of subtracting the numbers along the top of their respective timie zones, which are 
The Azores is five hours ahead of Winnipeg, so when the flight takes off, since
it is 10:00 PM in the Azores.
Add the seven hours flight time, and take the result modulo 12:
The time is 5:00 AM in the Azores when the plane lands there.
Example Question #593 : Problem Solving
If you have a negative number and multiply it by another, the final answer is positive. What sign did the other number have?
Does not matter
None of the others
Cannot determine
Negative
Positive
Negative
The only way to get a positive product from multiplication is to multiply two positive numbers together or two negative numbers together.
If the first number was negative, the other number will also have to be negative.
Example Question #1 : Concepts
The order of operations is PEMDAS, or (1) Parentheses (2) Exponents (3)Multiplication/Division (4) Addition/Subtraction.
First, we need to cube the quantity 
Now we are left with 
Subtracting a negative is the same as adding a positive. So we can rewrite this as
Example Question #2 : Concepts
When adding a positive to a negative number you must first pick the greater value of the two numbers while disregarding the signs.
In this case the negative number has a higher value if we don’t pay attention to the signs. Due to this fact we know our resulting number will be negative.
We then subtract the smaller number value from the higher value which gives us
Then we add the negative sign to the value to arrive at our answer
Example Question #1 : Negative Numbers
If you multiply a negative by a positive the resulting number will be a negative number.
So we multiply the numbers together normally and then add the negative sign at the end
The answer in this case is 
Example Question #3 : Concepts
Evaluate:
A negative number taken to an even power is positive, and an odd number taken to an odd power is negative, so:
Example Question #5 : Negative Numbers
Evaluate 
Example Question #6 : Negative Numbers
Evaluate:
Therefore,
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