Algebra II : Mathematical Relationships and Basic Graphs

Study concepts, example questions & explanations for Algebra II

varsity tutors app store varsity tutors android store

Example Questions

Example Question #681 : Mathematical Relationships And Basic Graphs

Evaluate:

Possible Answers:

Correct answer:

Explanation:

 is expanded to .

We will simply multiply the values in order to get the answer:

Example Question #14 : Simple Exponents

Expand:

Possible Answers:

Correct answer:

Explanation:

When exponents are negative, we can express them usinf the following format:  

in this formula,  is a positive exponent and  is the base.

We can express  as , which is also the same as: 

 

Example Question #15 : Simple Exponents

Evaluate: 

Possible Answers:

Correct answer:

Explanation:

When exponents are negative, we can express them usinf the following format:  

in this formula,  is a positive exponent and  is the base.

Therefore:

Example Question #682 : Mathematical Relationships And Basic Graphs

Simplify:

Possible Answers:

Correct answer:

Explanation:

When adding exponents, we first need to factor common terms.

Let's start by factoring out the following:

Factor.

Example Question #683 : Mathematical Relationships And Basic Graphs

Expand:

Possible Answers:

Correct answer:

Explanation:

When a number is raised by an exponent, the base value is multiplied by itself the number of times that the exponential value indicates.

Example Question #684 : Mathematical Relationships And Basic Graphs

Expand:

Possible Answers:

Correct answer:

Explanation:

When a number is raised by an exponent, the base value is multiplied by itself the number of times that the exponential value indicates.

Example Question #685 : Mathematical Relationships And Basic Graphs

Evaluate:

Possible Answers:

Correct answer:

Explanation:

When a number is raised by an exponent, the base value is multiplied by itself the number of times that the exponential value indicates.

 is expanded to .

The product is .

Example Question #686 : Mathematical Relationships And Basic Graphs

Evaluate:

Possible Answers:

Correct answer:

Explanation:

When a number is raised by an exponent, the base value is multiplied by itself the number of times that the exponential value indicates.

 is expanded to .

The product is .

Example Question #687 : Mathematical Relationships And Basic Graphs

Expand: 

Possible Answers:

Correct answer:

Explanation:

 To expand the exponent, we just multiply the base out by the exponent present.

Example Question #21 : Simple Exponents

Which of the following is the same as ?

Possible Answers:

Correct answer:

Explanation:

 is expanded out to . This is also the same as  or  which is the correct answer. 

Learning Tools by Varsity Tutors