Algebra II : Algebra II

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #11 : Expressions

Set up the following expression:  Twenty less than eight times a number.

Possible Answers:

Correct answer:

Explanation:

To set up the expression, evaluate part by part.  Let  be the unknown number.

Eight times a number:  

Twenty less than eight times the number means that this product is subtracted twenty.  The final answer must be less than eight times the unknown number by twenty.

The correct answer is:  

Example Question #12 : Expressions

Select the best choice:  The square of the difference of  and .

Possible Answers:

Correct answer:

Explanation:

Separate the statement by parts.

The difference of  and :  

Square of a the difference of  and :  

The correct answer is:  

Example Question #12 : Expressions

Write the expression:  The squared quantity of six less than three times a number squared.

Possible Answers:

Correct answer:

Explanation:

Split up the sentence into parts.

A number squared:  

Three times a number squared:  

Six less than three times a number squared:  

The squared quantity of six less than three times a number squared:  

The answer is:  

Example Question #14 : Expressions

Set up the expression:  Seven more than the square root of a number cubed.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

A number cubed:  

The square root of a number cubed:  

Seven more than the square root of a number cubed: 

The answer is:  

Example Question #1901 : Algebra Ii

Set up the expression:  The square root of six times a number.

Possible Answers:

Correct answer:

Explanation:

Write the expression by splitting up the statement into parts.

Six times a number:  

The square root of six times a number:  

The expression is:  

Example Question #62 : Basic Single Variable Algebra

Set up the expression:  The difference of three times a number and another number cubed.

Possible Answers:

Correct answer:

Explanation:

Let  be a number, and let  be another number.

Set up the parts.

Three times a number:  

Another number cubed:  

The difference of three times a number and another number cubed:

The answer is:  

Example Question #62 : Basic Single Variable Algebra

Set up the expression:  The fourth root of the quantity of ten more than twice a number.

Possible Answers:

Correct answer:

Explanation:

Split the statement into parts.

Twice a number:  

Ten more than twice a number:  

The quantity of ten more than twice a number:  

The fourth root of the quantity of ten more than twice a number:

The answer is:  

Example Question #63 : Basic Single Variable Algebra

Set up the following expression:  Twice a number subtracted from eight.

Possible Answers:

Correct answer:

Explanation:

Break up the statement into parts in order to solve.

Twice a number:  

Twice a number subtracted from eight:  

The eight will take precedence since twice a number is subtracted from this number.

There is no need to add parentheses.

The answer is:  

Example Question #64 : Basic Single Variable Algebra

Set up the expression:  The fourth root of the quantity of twice the square of a number less than three.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.  Start with the quantity first.

The square of a number:  

Twice the square of a number:  

Twice the square of a number less than three:  

The fourth root of the quantity of:  

Input the  term inside the fourth root.

The answer is:  

Example Question #65 : Basic Single Variable Algebra

Set up the following expression:  Three more than the natural log of twice a number.

Possible Answers:

Correct answer:

Explanation:

Natural log is the log that has a base of .  Do not confuse this with  because this has a default base of  unless the base is specified.

Twice a number:  

The natural log of twice a number:  

Three more than the natural log of twice a number:  

The answer is:  

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