SSAT Middle Level Math : Variables

Study concepts, example questions & explanations for SSAT Middle Level Math

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Example Questions

Example Question #92 : Algebra

Simplify:

Possible Answers:

Correct answer:

Explanation:

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:

Possible Answers:

Correct answer:

Explanation:

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:

Possible Answers:

Correct answer:

Explanation:

Example Question #92 : Variables

Subtract in modulo 11:

Possible Answers:

Correct answer:

Explanation:

 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?

Possible Answers:

Subtracting, adding, multiplying

Adding, subtracting, multiplying

Multiplying, adding, subtracting

Multiplying, subtracting, adding

Subtracting, multiplying, adding

Correct answer:

Multiplying, subtracting, adding

Explanation:

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  ?

Possible Answers:

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

Correct answer:

The square of a number added to seven

Explanation:

 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.

Possible Answers:

None of these

Correct answer:

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

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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