All SSAT Middle Level Math Resources
Example Questions
Example Question #1 : How To Multiply Variables
Which of the following is NOT the same as
The answer shows that the 3 in front of the has been cancelled, but not removed from the denomitator for the .
Example Question #2 : How To Multiply Variables
Simplify:
Apply the distributive property:
Example Question #3 : How To Multiply Variables
Simplify:
Apply the distributive property:
Example Question #4 : How To Multiply Variables
Simplify:
Apply the distributive property:
Example Question #5 : How To Multiply Variables
Simplify:
Apply the distributive property:
Example Question #3 : How To Multiply Variables
Shaun has twice as much money as Jessica. Jessica has one third as much money as Chris. Shaun has half as much money as Carmen. Who has the most money?
Carmen
Both Shaun and Carmen
Chris
Jessica
Shaun
Carmen
In order to figure out who has the most money, we must organize the data we have. Since Shaun has more money than Jessica, let us use Jessica as our baseline. So, if the money that Jessica has is represented by , the money Shaun has will be because he has twice as much money as Jessica.
Jessica =
Shaun =
Next, we know that Jessica has one third as much money as Chris. In other words, Chris has three times as much money as Jessica. This can be represented by . We then learn that Shaun has half as much money as Carmen or, in other words, Carmen has two times the amount of money Shaun has. Since Shaun has dollars, that must mean Carmen has dollars because . So, by comparing everyone side-by-side, we can see that Carmen has the most money as she has four times the amount of money that Jessica has.
Jessica =
Shaun =
Chris =
Carmen =
Carmen is the answer.
Example Question #6 : Variables
Given , , and , compute .
refers to the product of the three variables: .
Example Question #1 : Multiplying And Dividing Polynomials
Simplify:
To solve, you can use the commutative and associative properties of multiplication to group like-terms together.
The 4 and 3 should be first multiplied, resulting in 12.
Next should be multiplied by , giving us .
12 times is equal to .
Therefore, the correct answer is .
Example Question #6 : How To Multiply Variables
Simplify:
When simplifying this expression, the first step is to apply the distributive property.
Next, we assert whether the expression can be reduced further. It cannot, as there are no like-terms to combine.
Therefore, the correct answer is .
Example Question #5 : How To Multiply Variables
Suppose you know the values of all variables in the expression
and you want to evaluate the expression.
In which order will you carry out the operations?
Squaring, multiplying, adding
Multiplying, squaring, adding
Adding, squaring, multiplying
Adding, multiplying, squaring
Multiplying, adding, squaring
Adding, squaring, multiplying
By the order of operations, the operation inside grouping symbols, which here is addition, takes precendence, followed by, in order, squaring and multiplication.
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