HSPT Math : Arithmetic
Study concepts, example questions & explanations for HSPT Math
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Example Questions
Example Question #1 : Negative Numbers
–7 – 7= x
–7 – (–7) = y
what are x and y, respectively
x = –14, y = 14
x = 0, y = 0
x = 14, y = –14
x = –14, y = 0
y = 0, x = 14
x = –14, y = 0
x: –7 – 7= –7 + –7 = –14
y: –7 – (–7) = –7 + 7 = 0
when subtracting a negative number, turn it into an addition problem
Example Question #1 : How To Divide Negative Numbers
Solve for 
Begin by isolating your variable.
Subtract 
Next, subtract 
Then, divide both sides by 
Recall that division of a negative by a negative gives you a positive, therefore:
Example Question #1 : Negative Numbers
Solve the following equation:
The rule for dividing negative numbers is the same as for multiplying negative numbers.
If both numbers are negative, you will get a positive answer.
If either number is positive, and the other is negative, you will get a negative answer.
Therefore:
Example Question #1 : Negative Numbers
Choose the answer which best solves the following equation:
To solve, first put the equation in terms of 
First multiply the x to both sides.
Now divide by 12 to solve for x.
Here, because one of the numbers in the equation is positive, and the other is negative, the answer must be a negative number:
Example Question #2 : How To Add / Subtract / Multiply / Divide Negative Numbers
Evaluate:
To evaluate this, rewrite the expression with the correct signs.
Positive multiplied with a negative sign results in a negative, and a double negative results in a positive sign.
Example Question #2 : Negative Numbers
Subtract:
It is possible to rewrite the expression as:
Take the negative of the difference of 47 and 23.
The answer is 
Example Question #1 : Negative Numbers
Solve:
Evaluate the inner term inside the parenthesis first. The expression can then be simplifed to an integer.
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 #11 : How To Add / Subtract / Multiply / Divide Negative Numbers
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 PM
5:00 AM
7:00 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.
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