All SSAT Middle Level Math Resources
Example Questions
Example Question #92 : Algebra
Simplify:
Begin by distributing the through the group:
Next, perform the multiplications:
Group the like terms:
Combine like terms:
Rearrange the terms to get the answer as it appears in the answer choices.
Example Question #91 : Operations
Simplify:
Begin by multiplying through by :
Perform the multiplications:
The double negation becomes addition:
Group like terms:
Combine like terms:
Example Question #1 : Apply Properties Of Operations To Expand Linear Expressions With Rational Coefficients: Ccss.Math.Content.7.Ee.A.1
Simplify:
Example Question #92 : Variables
Subtract in modulo 11:
in normal arithmetic.
In modulo 11 arithmetic, a negative number has 11 added to it as many times as necessary until a positive sum is reached:
Therefore,
Example Question #91 : 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?
Subtracting, adding, multiplying
Adding, subtracting, multiplying
Multiplying, adding, subtracting
Multiplying, subtracting, adding
Subtracting, multiplying, adding
Multiplying, subtracting, adding
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 subtraction is performed second and the addition last.
Example Question #91 : Variables
Which of the following phrases can be written as the algebraic expression ?
The square of a number added to seven
The square of the product of seven and a number
The square of the sum of seven and a number
Twice the sum of seven and a number
Twice a number added to seven
The square of a number added to seven
is added to seven; is the square of a number.
is subsequently "the square of a number added to seven".
Example Question #21 : How To Subtract Variables
Solve.
None of these
The first step to solving is to convert all the numbers to a common form. We will convert to decimals, since this form is used in the answer choices.
Plug this value into the original equation and solve.
Our final answer is .
Example Question #96 : Variables
If is an odd number, which of the following must also be odd?
The easiest way to solve this problem is to pick an odd number (we can use 3 for example), and plug it into each answer choice.
The only answer choice that gives us an odd result is:
As a rule of thumb, an even number subtracted from an odd number will always result in an odd number.
Example Question #92 : Operations
Philip had a glass containing 16 ounces of water. He drank 2 ounces. His brother then drank half of what remained. How many ounces of water are now in the glass?
If there were 16 ounces of water to start, this amount decreased to 14 ounces when Philip drank 2 ounces.
With 14 ounces remaining, his brother drank half. This would be equal to 7 ounces.
This left the other half of the water, which was also 7 ounces; thus, 7 ounces in the amount of water that remained.
Example Question #98 : Variables
If minus two times another number equals , what is the other number?
The first step is to transfer minus two times another number equals into mathematical terms. Doing so gives us:
Next, 17 is subtracted from each side.
Each side is now divided by .
Therefore, is the correct answer.
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