HSPT Math : HSPT Mathematics
Study concepts, example questions & explanations for HSPT Math
All HSPT Math Resources
Example Questions
Example Question #601 : Hspt Mathematics
Combine:
First, combine the negative numbers. This yields 
Then, the problem is simplified to 
Example Question #602 : Hspt Mathematics
To most effectively add a positive and negative number, ignore the signs and pick the greater of the two numbers.
In this case the positive number has a higher value if we don’t pay attention to the signs. Due to this fact we know the answer will be positive.
We then subtract the smaller number value from the higher value which gives us
Then we add the sign of the greater value to arrive at our answer 
Example Question #6 : Concepts
Add:
Simply the signs before solving. A positive sign multiplied with a negative sign will convert the sign to a negative, and a negative multiplied with a negative will convert the sign to a positive.
Example Question #1 : How To Multiply Negative Numbers
If a = –2 and b = –3, then evaluate a3 + b2
8
17
5
9
1
1
When multiplying negative numbers, we get a negative answer if there are an odd number of negative numbers being multiplied. We get a positive answer if there are an even number of negative numbers being multiplied.
a3 + b2 becomes (–2)3 + (–3)2 which equals –8 + 9 = 1
Example Question #1 : How To Multiply Negative Numbers
Evaluate:
–3 * –7
21
–21
4
10
–10
21
Multiplying a negative number and another negative number makes the product positive.
Example Question #1 : How To Multiply Negative Numbers
Evaluate.
Multiplying a negative and a positive number creates a negative product:
Example Question #2 : How To Multiply Negative Numbers
Solve.
A negative number multiplied by a positive number will always be negative.
Example Question #2 : How To Multiply Negative Numbers
Evaluate 3x3 + x2 if x = –2
14
28
–20
–22
–20
When multiplying a negative number an odd number of times, the answer is negative. When multiplying a negative number an even number of times, the answer is positive. Order of operations also applies: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction, from left to right. A mnemonic to remember the order of operations is “Please excuse my dear Aunt Sally.”
3(–2)3 + (–2)2
= 3(–8) + (4)
= –24 + 4
= –20
Example Question #1 : How To Multiply Negative Numbers
Simplify the following expression: (–4)(2)(–1)(–3)
–24
24
12
–16
–24
First, we multiply –4 and 2. A negative and a positive number multiplied together give us a negative number, so (–4)(2) = –8. A negative times a negative is a positive so (–8)(–1) = 8. (8)(–3) = –24.
Example Question #11 : Concepts
What is 1 + (–1) – (–3) + 4 ?
6
1
9
3
7
7
You simplify the expression to be 1 – 1 + 3 + 4 = 7
All HSPT Math Resources
