HSPT Math : Algebra
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Example Questions
Example Question #21 : Algebra
First convert each mixed number into and improper fraction
Then convert the operation to multiplication and flip the second fraction
Reduce where possible and multiply to solve:
The answer is
Example Question #22 : Algebra
Simplify:
Example Question #23 : Algebra
Solve for B
Not enough information provided.
This problem looks strange since it mostly contains variables, in particular unknown variables. Still remember the order of operations: parentheses, exponents, multiplication, division, addition, and subtraction. We still use those operations in this case. All we must do is move the variables around to solve for 
In this case we can subtract (additive inverse) 
Rewrite our problem.
Stop for a moment and look at the progress. Go back to the original question, solve for 
Example Question #24 : Algebra
Suppose you know the values of 
Which of the following is the first step you must complete?
Evaluate 
Evaluate 
Evaluate 
Evaluate 
Evaluate 
Evaluate
Use the order of operations, PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
In our expression, there are no parentheses, so square 
Example Question #5 : How To Divide Variables
Divide:
Example Question #25 : Algebra
Simplify:
To simplify, we want to get the same base in both the numerator and the denominator. This will allow us to easily manipulate the exponents.
Replace the denominator with this value and simplify.
Example Question #26 : Algebra
Simplify:
To simplify, we want to get the same base in both the numerator and the denominator. This will allow us to easily manipulate the exponents.
We can write:
and
Replace the fraction with these values and simplify.
Example Question #27 : Algebra
Which of the following numbers is divisible by 7?
The number 756 can be segmented into 700 and 56. Given that 700 is divisble by 7 (700 divided by 7 is 100) and that 56 is divisible by 7 (56 divided by 7 is 8), 756, as the aggregate of 700 and 56, is also divisble by 7.
Example Question #28 : Algebra
What is the equivalent of this expression?
The square root of 64 divided by the square of 2.
The mathematical translation of the square root of 64 divided by the square of 2 is:
Example Question #29 : Algebra
Which of the following is divisible by 3?
A quick trick to remember is that a number is divisible by 3 when the digits of that number add up to a sum that is also divisible by 3.
For example, we know that the number 85,962 must be divisible by 3 because:
30 is divisible by 3; therefore, 85,962 must also be divisible by 3.
In contrast, adding the digits of the other answer choices will give numbers that are not divisible by 3, indicating that the other answer choices are also not divisible by 3.
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