HSPT Math : Concepts

Study concepts, example questions & explanations for HSPT Math

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Example Questions

Example Question #8 : How To Divide Variables

What is the equivalent of this expression?

The square root of 64 divided by the square of 2.

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Correct answer:

Explanation:

The mathematical translation of the square root of 64 divided by the square of 2 is:

 

Example Question #9 : How To Divide Variables

Which of the following is divisible by 3?

Possible Answers:

Correct answer:

Explanation:

A quick trick to remember is that a number is divisible by 3 when the digits of that number add up to a sum that is also divisible by 3.

For example, we know that the number 85,962 must be divisible by 3 because:

30 is divisible by 3; therefore, 85,962 must also be divisible by 3.

In contrast, adding the digits of the other answer choices will give numbers that are not divisible by 3, indicating that the other answer choices are also not divisible by 3.

Example Question #1 : How To Multiply Variables

Possible Answers:

Correct answer:

Explanation:

First find the exponent value:

Then find the value of

Finally, solve the entire expression with the known values:

The answer is 36.

Example Question #2 : How To Multiply Variables

Simplify:

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Correct answer:

Explanation:

Example Question #3 : How To Multiply Variables

Multiply:

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Correct answer:

Explanation:

Use the distributive property:

Example Question #4 : How To Multiply Variables

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Correct answer:

Explanation:

Multiply the numbers and multiply the variables:

Answer:

Example Question #5 : How To Multiply Variables

Simplify:

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Correct answer:

Explanation:

Example Question #6 : How To Multiply Variables

Multiply:

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Correct answer:

Explanation:

Example Question #7 : How To Multiply Variables

Possible Answers:

Correct answer:

Explanation:

Multiply the whole numbers and add an exponent to the variable totaling the number of exponents in the equation:

Answer:

Example Question #8 : How To Multiply Variables

Possible Answers:

Correct answer:

Explanation:

Multiply the whole numbers and add an exponent to the variable totaling the number of exponents in the equation:

Answer: 

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