HSPT Math : HSPT Mathematics

Study concepts, example questions & explanations for HSPT Math

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Example Questions

Example Question #31 : How To Multiply Variables

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 #672 : Concepts

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 #2151 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Possible Answers:

Cannot be simplified further

Correct answer:

Explanation:

To simplify, add the exponents:

Answer:

Example Question #2152 : Isee Middle Level (Grades 7 8) Mathematics Achievement

 

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 #2153 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Possible Answers:

Cannot be simplified further

Correct answer:

Explanation:

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

Answer:

Example Question #2154 : Isee Middle Level (Grades 7 8) Mathematics Achievement

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:

Example Question #41 : Variables

Possible Answers:

Cannot be simplified further

Correct answer:

Explanation:

Because the two terms have the same base, add the exponents and leave the base unchanged:

Answer:

Example Question #42 : Variables

Possible Answers:

Cannot be simplified further

Correct answer:

Explanation:

Add the exponents because we are multiplying two terms with the same base:

Answer: 

Example Question #43 : Variables

Possible Answers:

Cannot be simplified further

Correct answer:

Explanation:

To solve, add the exponents:

Answer: 

Example Question #2158 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Possible Answers:

Cannot be simplified further

Correct answer:

Explanation:

To simplify, add the exponents:

Answer: 

 

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