Algebra II : Basic Single-Variable Algebra

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #11 : Setting Up 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 #62 : Basic Single Variable Algebra

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 #63 : Basic Single Variable Algebra

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 #11 : Expressions

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 #65 : 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 #21 : Expressions

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 #22 : Expressions

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 #23 : Expressions

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 #24 : Expressions

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:  

Example Question #25 : Expressions

Set up the expression:  The fifth root of twice the quantity of three more than six times a number.

Possible Answers:

Correct answer:

Explanation:

Determine the expression of the quantity first.

Six times a number:  

Three more than six times a number:  

Twice the quantity of three more than six times a number:  

Write the fifth root of twice the quantity of three more than six times a number.

The answer is:  

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