SSAT Upper Level Math : How to subtract

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

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Example Questions

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Example Question #21 : Number Concepts And Operations

\dpi{100} 4593-1296=

Possible Answers:

\dpi{100} 3397

\dpi{100} 3297

\dpi{100} 497

\dpi{100} 3497

Correct answer:

\dpi{100} 3297

Explanation:

Subtract the two numbers, being careful not to forget to remove the borrowed number.

You can also add the solution back to 1296 to check your work, as addition is easier than subtraction.

\dpi{100} 1296+3297=4593

Example Question #22 : Number Concepts And Operations

\dpi{100} 4.8-\frac{9}{2}

Possible Answers:

\dpi{100} 0.3

\dpi{100} \frac{5}{2}

\dpi{100} -5.2

\dpi{100} 2

Correct answer:

\dpi{100} 0.3

Explanation:

First convert \dpi{100} \frac{9}{2} into a decimal. 

\dpi{100} 9\div 2=4\ remainder\ of\ 1

So we are left with \dpi{100} 4\frac{1}{2}, which is 4.5 in decimal form.

Now subtract:

\dpi{100} 4.8-4.5=0.3

Example Question #23 : Number Concepts And Operations

Subtract  from 

Possible Answers:

Correct answer:

Explanation:

You set up the expression with  on the top and  on the bottom. Because this is subtraction, remember to distribute the negative sign to the expression on the bottom, and then add, so

you get .

  

 

Example Question #24 : Number Concepts And Operations

 and  are prime integers.  and .

How many possible values of  are there?

Possible Answers:

Five

Seven

Six

Eight

Four

Correct answer:

Five

Explanation:

The prime integers between 65 and 75 are 67, 71, and 73, so  assumes one of those values; the prime integers between 45 and 55 are 47 and 53, so  assumes one of those values. Therefore, one of the following holds true:

There are five possible values for  (20 appears twice here).

Example Question #25 : Number Concepts And Operations

 and  are prime integers.  and . What is the greatest possible value of ?

Possible Answers:

Correct answer:

Explanation:

The greatest possible value of  is the least possible value of  subtracted from the greatest possible value of . The least prime between 55 and 65 is 59, and the greatest prime between 85 and 95 is 89, so  and  give the greatest possible value of , which is equal to 

Example Question #1 : How To Subtract

Define an operation  as follows:

For all real numbers ,

Evaluate: .

Possible Answers:

Correct answer:

Explanation:

Example Question #27 : Number Concepts And Operations

Define a function  as follows:

Evaluate .

Possible Answers:

Correct answer:

Explanation:

Example Question #30 : Number Concepts And Operations

Define an operation  as follows:

For all real numbers :

.

Evaluate .

Possible Answers:

The correct answer is not among the other responses.

Correct answer:

Explanation:

Example Question #2 : How To Subtract

Define a function  as follows:

Evaluate .

Possible Answers:

Correct answer:

Explanation:

Example Question #3 : How To Subtract

Define a function  as follows:

Evaluate .

Possible Answers:

The expression is undefined.

The correct answer is not among the other responses.

Correct answer:

Explanation:

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