ISEE Middle Level Math : How to multiply variables

Study concepts, example questions & explanations for ISEE Middle Level Math

varsity tutors app store varsity tutors android store

Example Questions

Example Question #61 : Algebra

Simplify:

Possible Answers:

Correct answer:

Explanation:

Begin by moving all of the related variables (and constants) next to each other. You can group these in parentheses to make it clear. This is allowed because of the associative rule for multiplication.

There are no variables to combine. We only need to combine the numerical coefficient. This gets you:

 

This is the same as:

Example Question #62 : Algebra

Simplify:

Possible Answers:

Correct answer:

Explanation:

Begin by moving all of the related variables (and constants) next to each other. You can group these in parentheses to make it clear. This is allowed because of the associative rule for multiplication.

When multiplying variables of the same type, you add their exponents together. This gets you:

 

This is the same as:

Example Question #63 : Algebra

Simplify:

Possible Answers:

Correct answer:

Explanation:

Begin by moving all of the related variables (and constants) next to each other. You can group these in parentheses to make it clear. This is allowed because of the associative rule for multiplication.

 

When multiplying variables of the same type, you add their exponents together. This gets you:

 

This is the same as:

Example Question #64 : Algebra

Simplify:

Possible Answers:

Correct answer:

Explanation:

Distribute the outside term into the parentheses. Multiply each term in parentheses by :

Now, for each member, move the similar variables into separate groups. You can do this because of the associative rule for multiplication:

 

When multiplying variables of the same type, you add their exponents together. This gets you:

This is the same as:

Example Question #65 : Algebra

Simplify:

Possible Answers:

Correct answer:

Explanation:

Distribute the outside term into the parentheses. Multiply each term in parentheses by :

 

Now, for each member, move the similar variables into separate groups. You can do this because of the associative rule for multiplication:

 

When multiplying variables of the same type, you add their exponents together. This gets you:

 

This is the same as:

Example Question #66 : Algebra

Simplify:

Possible Answers:

Correct answer:

Explanation:

Distribute the outside term into the parentheses. Multiply each term in parentheses by :

 

Now, for each member, move the similar variables into separate groups. You can do this because of the associative rule for multiplication:

When multiplying variables of the same type, you add their exponents together. This gets you:

 

This is the same as:

Example Question #67 : Algebra

Possible Answers:

Cannot be simplified further

Correct answer:

Explanation:

To simplify, add the exponents:

Answer:

Example Question #68 : Algebra

 

Possible Answers:

Cannot be simplified further

Correct answer:

Explanation:

Because the two terms have the same base, they can be multiplied together by adding the exponents:

Answer: 

Example Question #69 : Algebra

Possible Answers:

Cannot be simplified further

Correct answer:

Explanation:

To simplify the expression, add the exponents and keep the base unchanged:

Answer:

Example Question #70 : Algebra

Possible Answers:

Cannot be simplified further

Correct answer:

Explanation:

To multiply two terms with the same base and different exponents, add the exponents and leave the base unchanged:

Answer:

Learning Tools by Varsity Tutors