All SSAT Middle Level Math Resources
Example Questions
Example Question #11 : 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?
Multiplying, adding, subtracting
Adding, multiplying, subtracting
Subtracting, multiplying, adding
Multiplying, subtracting, adding
Adding, subtracting, multiplying
Multiplying, adding, subtracting
By the order of operations, in the absence of grouping symbols, multiplication takes precedence over addition and subtraction. Addition and subtraction are then carried out with equal priority, but from left to right, so the addition is performed second and the subtraction last.
Example Question #82 : Algebra
Multiply in modulo 8:
None of the other choices give the correct answer.
In modulo 8 arithmetic, a number is congruent to the remainder of the divison of that number by 8. Since
and
then
.
The correct response is 4.
Example Question #12 : Variables
Which of the following phrases can be written as the algebraic expression ?
Nine multiplied by the difference of a number and fifty-five
The product of nine and a number subtracted from fifty-five
Nine multiplied by the difference of fifty-five and a number
Fifty-five subtracted from the product of nine and a number
The correct answer is not given among the other responses.
Fifty-five subtracted from the product of nine and a number
is fifty-five subtracted from .
is the product of nine and a number.
Subsequently, is "fifty-five subtracted from the product of nine and a number".
Example Question #84 : Ssat Middle Level Quantitative (Math)
Solve the following expression,
.
The expression is already solved.
When multiplying like variables, the constants are multiplied together.
For the exponents, when you multply variable exponents you have to add the exponents together.
and so that gives you an answer of .
Example Question #13 : Variables
Solve:
When multiplying variables with exponents, add the exponents.
The correct answer is
Example Question #86 : Ssat Middle Level Quantitative (Math)
Solve:
When multiplying variables with exponents the exponents are added.
The correct answer is
Example Question #14 : Variables
Maria needs exactly 47 cents. She has 1-cent, 5-cent, 10-cent, and 25-cent coins. What is the fewest number of coins she needs in order to make 47 cents?
She needs to make cents.
Example Question #2 : How To Add Variables
Simplify this expression as much as possible
You can only add like terms. Therefore, different variables are treated as different types of terms. Since and both end in the variable , they can be added together. The cannot be added to these numbers; however, because it has a different variable. The answer is:
Example Question #3 : How To Add Variables
Simplify:
The expression cannot be simplified.
The associative property of addition allows us to group the numbers with the same variables together:
The like terms in this expression are:
- and
Terms with different variables cannot be grouped together.
As a result, the only way to simplify this expression is to add and .
Example Question #4 : How To Add Variables
Simplify:
When adding variables of the same type, they are simply added together, and the variable remains to the first power. This is known as combining like-terms.
Thus, the correct answer is .
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