Algebra II : Equations

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #51 : Equations

Set up the following equation:  The square root of a three times a number cubed is eight.

Possible Answers:

Correct answer:

Explanation:

Split up the sentence into parts.

A number cubed:  

Three times a number cubed:  

The square root of a three times a number cubed:  

Is eight:  

Combine the terms to form the equation.

The answer is:  

Example Question #181 : Algebraic Functions

Set up the equation:

The difference of six and a number squared is four.

Possible Answers:

Correct answer:

Explanation:

Write the following sentence by parts.

A number squared:  

The difference of six and a number squared:  

Is four:  

Combine the parts to write an equation.

The answer is:  

Example Question #139 : How To Find F(X)

Set up the following equation:  Three less than the square of a number is eleven.

Possible Answers:

Correct answer:

Explanation:

Split up the question into parts.

The square of a number:  

Three less than the square of a number:  

Is eleven:  

Combine the terms.

The answer is:  

Example Question #52 : Equations

Set up the equation:  Four more than seven times a number is fifty.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

Seven times a number:  

Four more than seven times a number:   

Is fifty:  

Combine the terms to form the equation.

The answer is:  

Example Question #53 : Equations

Set up the equation:  Six less than four times a number squared is eight.

Possible Answers:

Correct answer:

Explanation:

Split up the sentence into parts.

Four times a number squared:  

Six less than four times a number squared:  

Is eight:  

Combine the terms to form an equation.

The answer is:  

Example Question #54 : Equations

Set up the equation:  Four less than a number is at least sixty.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.  Let the number be .

Four less than a number:  

Is at least sixty:  

Combine the parts to form the inequality.

The answer is:  

Example Question #55 : Equations

Set up the equation:   Sixteen less than eight times a number cubed is nine.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

A number cubed:  

Eight times a number cubed:  

Sixteen less than eight times a number cubed:  

Is nine:  

Combine the parts to form an equation.

The answer is:  

Example Question #56 : Equations

Set up the equation:  Eight less than three times a number is negative four.

Possible Answers:

Correct answer:

Explanation:

Break up this sentence into parts:

Three times a number:  

Eight less than three times a number: 

Is negative four:  

Combine the parts to form the equation.

The answer is:  

Example Question #57 : Equations

Set up the equation:  Sixteen less than twice a number is ninety.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

Twice a number:  

Sixteen less than twice a number:  

Is ninety:  

Combine the parts to form the equation.

The answer is:  

Example Question #51 : Equations

Set up the following equation:  Nine less than eight times a number is seventeen.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

Eight times a number:  

Nine less than eight times a number:  

Is seventeen:  

Combine the last two parts to set up the equation.

The answer is:  

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