High School Math : High School Math

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #31 : High School Math

Evaluate the following expresssion. 

Possible Answers:

Correct answer:

Explanation:

Recall the order of operations (PEMDAS). We want to combine the terms inside our parentheses first. Thus,  so we have our expression equivalent to: 

. Don't forget to keep the  in parentheses after you get it as the sum. 

Example Question #11 : Order Of Operations

Possible Answers:

Correct answer:

Explanation:

Remember the order of operations: "PEMDAS” or "Please Excuse My Dear Aunt Sally" stands for "Parentheses, Exponents, Multiplication and Division, Addition and Subtraction". 

Example Question #12 : Order Of Operations

Simplify:

Possible Answers:

Correct answer:

Explanation:

Follow the order of operations.

First take care of any exponents:

 = 6 - (2 + 25)

Then perform the operations in parentheses:

 = 6 - 27

 = -21

Example Question #34 : High School Math

Possible Answers:

Correct answer:

Explanation:

In terms of order of operations, you must first perform the exponent portions and then add to the 12:

Example Question #32 : High School Math

Simplify 

Possible Answers:

Correct answer:

Explanation:

Applying the Order of Operations to the numerator, we get:

 

Applying the Order of Operations to the denominator, we get:

 

We divide these fractions to get:

Example Question #33 : High School Math

Possible Answers:

Correct answer:

Explanation:

 When you multiply exponents you can simply add the exponents:

Example Question #34 : High School Math

Evaluate the exponential expression.

Possible Answers:

Correct answer:

Explanation:

We can solve this problem in two different ways.

The first way is to evaluate the internal term, , and then square it.

The second method is to use the power rule of exponents, where we multiply the exponents and solve the resulting term.

Example Question #35 : High School Math

Evaluate .

Possible Answers:

Correct answer:

Explanation:

The negative sign in the exponent indicates that in order to solve you should use the reciprocal of the integer.

Example Question #36 : High School Math

Evaluate 

Possible Answers:

Correct answer:

Explanation:

The laws of exponents state that when a number is raised to a certain power and then raised to another power then the exponents are multiplied by one another.

Solve for the exponents.

Therefore,

Example Question #37 : High School Math

What is 

Possible Answers:

Correct answer:

Explanation:

When a number is raised to a power it means that the number is multiplied by itself the same number of times as the number of the power.

In this case  is raised to the  power so it is equivalent to 

We then perform the necessary multiplication to arrive at the answer of .

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