SSAT Middle Level Math : SSAT Middle Level Quantitative (Math)

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

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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?

Possible Answers:

Multiplying, adding, subtracting

Adding, multiplying, subtracting

Subtracting, multiplying, adding

Multiplying, subtracting, adding

Adding, subtracting, multiplying

Correct answer:

Multiplying, adding, subtracting

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 addition is performed second and the subtraction last.

Example Question #82 : Algebra

Multiply in modulo 8:

Possible Answers:

None of the other choices give the correct answer.

Correct answer:

Explanation:

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 ?

Possible Answers:

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.

Correct answer:

Fifty-five subtracted from the product of nine and a number

Explanation:

 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, 

.

Possible Answers:

The expression is already solved.

Correct answer:

Explanation:

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:

Possible Answers:

Correct answer:

Explanation:

When multiplying variables with exponents, add the exponents.

The correct answer is 

Example Question #86 : Ssat Middle Level Quantitative (Math)

Solve:

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

She needs  to make  cents.

Example Question #2 : How To Add Variables

Simplify this expression as much as possible

Possible Answers:

Correct answer:

Explanation:

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:

Possible Answers:

The expression cannot be simplified.

Correct answer:

Explanation:

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:

Possible Answers:

Correct answer:

Explanation:

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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