Algebra II : Algebra II

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #31 : Setting Up Expressions

Set up the following expression:  Five less than eight times the cube of a number is negative eleven.

Possible Answers:

Correct answer:

Explanation:

Split the sentence into parts.

The cube of a number:  

Eight times the cube of a number:  

Five less than eight times the cube of a number:  

Is negative eleven:  

The answer is:  

Example Question #1921 : Algebra Ii

Set up the expression:  Nine times the fourth root of the quantity of six times the square of a number.

Possible Answers:

Correct answer:

Explanation:

Split the sentence into parts.

The square of a number:  

Six times the square of a number:  

The fourth root of the quantity of six times the square of a number:  

Nine times the fourth root of the quantity of six times the square of a number:  

The answer is:  

Example Question #1922 : Algebra Ii

Write the expression:  The sum of twice a number and three times another number.

Possible Answers:

Correct answer:

Explanation:

Split the sentence into parts.

Let the first number be .

Let the second number be .

Twice a number:  

Three times another number:  

The sum of twice a number and three times another number:  

The answer is:  

Example Question #1923 : Algebra Ii

Set up the expression:  The sum of twice a number and negative eight.

Possible Answers:

Correct answer:

Explanation:

Break up the statement into parts.

Twice a number:  

Negative eight:  

The sum of both numbers:  

Remember that adding a negative value will result in subtracting that value.

The answer is:  

Example Question #1924 : Algebra Ii

Set up the expression:  Twice the cube root of five less than twice a number.

Possible Answers:

Correct answer:

Explanation:

Evaluate the inner quantity of the radical first.

Five less than twice a number:  

The cube root of five less than twice a number:   

Twice the cube root of five less than twice a number:  

The answer is:  

Example Question #1921 : Algebra Ii

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

Possible Answers:

Correct answer:

Explanation:

An expression cannot contain an equal sign, or it will be an equation.

Six times a number:  

The cube root of six times a number:  

The answer is:  

Example Question #1926 : Algebra Ii

Set up the expression:  The sum of twice a number and negative six.

Possible Answers:

Correct answer:

Explanation:

The sum indicates addition.  

Twice a number:  

Negative six:  

Add the two values.

Notice that a positive and a negative value will result in a negative sign.

The answer is:   

Example Question #81 : Basic Single Variable Algebra

Set up the expression:  Three less than twice a number raised to the tenth power.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

Twice a number raised to the tenth power:  

Three less than twice a number raised to the tenth power:  

The answer is:  

Example Question #1928 : Algebra Ii

Set up the expression:  Three eighths less than half a number squared.

Possible Answers:

Correct answer:

Explanation:

Break up the statement into parts.

Half a number squared:  

 Three eighths less than half a number squared:  

The answer is:  

Example Question #1929 : Algebra Ii

Set up the expression:  The sum of the cube root of twice a number and the square root of three times the number.

Possible Answers:

Correct answer:

Explanation:

Break up the statement into parts.

Cube root of twice a number:  

Square root of three times the number:  

The sum of both:  

The answer is:  

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