SSAT Upper Level Math : SSAT Upper Level Quantitative (Math)

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

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Example Questions

Example Question #71 : Ssat Upper Level Quantitative (Math)

Express the result in scientific notation:

Possible Answers:

Correct answer:

Explanation:

Rewriting the numeator and applying the quotient of powers property:

This is not in scientific notation, so we adjust it as follows, applying the product of powers property:

Example Question #72 : Ssat Upper Level Quantitative (Math)

Assume all variables to be nonzero.

Simplify: 

Possible Answers:

Correct answer:

Explanation:

Any expression raised to the first power is equal to that expression, and any expression raised to the power of 0 is equal to 1, so

Example Question #73 : Ssat Upper Level Quantitative (Math)

Assume all variables to be nonzero.

Simplify: 

Possible Answers:

Correct answer:

Explanation:

Any nonzero expression to the power of zero is equal to 1:

 

Example Question #74 : Ssat Upper Level Quantitative (Math)

Express the result in scientific notation:

Possible Answers:

Correct answer:

Explanation:

Rewriting the numerator and applying the quotient of powers property:

Since this is not in scientific notation, adjust as follows:

Example Question #75 : Ssat Upper Level Quantitative (Math)

What is the value of 

Possible Answers:

Correct answer:

Explanation:

To solve , 6 should be divided by 3. The exponent will be equal to the exponent of the numerator minus the exponent of the denominator. This results in:

Example Question #76 : Ssat Upper Level Quantitative (Math)

Which of the values below is equal to ?

Possible Answers:

Correct answer:

Explanation:

 is equal to 

Therefore, 

Thus, 64 is the correct answer. 

 

Example Question #77 : Ssat Upper Level Quantitative (Math)

Which of the values below is equal to ?

Possible Answers:

Correct answer:

Explanation:

 is equal to 

Given that , the above expression can be simplified to:

Therefore, 32 is the correct answer. 

 

Example Question #78 : Ssat Upper Level Quantitative (Math)

Which of the following is equal to 27?

 

Possible Answers:

Correct answer:

Explanation:

 is equal to 

Given that , it follows that 

Therefore,  is the correct answer. 

Example Question #12 : Generate Equivalent Numerical Expressions: Ccss.Math.Content.8.Ee.A.1

Evaluate:

 

Possible Answers:

Correct answer:

Explanation:

The bases of all three terms are alike.  Since the terms are of a specific power, the rule of exponents state that the powers can be added if the terms are multiplied.

When we have a negative exponent, we we put the number and the exponent as the denominator, over 

Example Question #13 : Generate Equivalent Numerical Expressions: Ccss.Math.Content.8.Ee.A.1

Simplify:

 

Possible Answers:

Correct answer:

Explanation:

To solve this problem, we start with the parentheses and exponents in the denominator. 

Next, we can bring the  from the denominator up to the numerator by making the exponent negative. 

Finally, to get rid of the negative exponent we can bring it back down to the denominator. 

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