Algebra II : Equations

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #71 : Equations

Set up the equation:  Ten raised to the power of four less than three times a number is six.

Possible Answers:

Correct answer:

Explanation:

Write the terms of the exponent first.

Four less than three times a number:  

Ten raised to the power of four less than three times a number:  

Is six:  

Combine the terms to form the equation.

The answer is:  

Example Question #72 : Equations

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

Possible Answers:

Correct answer:

Explanation:

Solve by breaking the statement into parts.

Eight times a number:  

Six less than eight times a number:  

Is four:  

Combine the terms to form the equation.

The answer is:  

Example Question #73 : Equations

Set up the equation:  Three less than the quantity of three less than twice a number is four.

Possible Answers:

Correct answer:

Explanation:

Write the equation by first splitting the sentence into parts.  Start with the inner quantity.

Twice a number:  

Three less than twice a number:  

Three less than the quantity of three less than twice a number:

Simplify the expression.

Is four:   

The answer is:  

Example Question #74 : Equations

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

Possible Answers:

Correct answer:

Explanation:

Split the sentence into parts.

Eight times a number:  

Sixteen less than eight times a number: 

Is nine:  

Combine the parts together.

The answer is:  

Example Question #75 : Equations

Set up the equation:  Four times the quantity of twice a number less than five is six.

Possible Answers:

Correct answer:

Explanation:

Start by solving the quantity of the equation.

Twice a number:  

Twice a number less than five:  

Four times the quantity of twice a number less than five:  

Is six:  

Combine the parts.

The answer is: 

Example Question #76 : Equations

Set up the equation:   The product of five and the quantity of two times a number less than six is ten.

Possible Answers:

Correct answer:

Explanation:

The product of numbers indicate that there will be two quantities involved.

Two times a number less than six:  

This is a quantity.

The value of five is also a quantity itself.

The product of five and the quantity:  

Is ten:  

Combine the parts to form the equation.

The answer is:  

Example Question #77 : Equations

Set up the equation:  Four times the quantity of eight less than twice a number is nine.

Possible Answers:

Correct answer:

Explanation:

Start by breaking up the sentence into parts.

Eight less than twice a number:  

These terms are a part of quantity.

Four times the quantity of eight less than twice a number:  

Is nine:  

Combine the parts.

The answer is:  

Example Question #78 : Equations

Set up the equation:  Two less than eight times a number is equal to six.

Possible Answers:

Correct answer:

Explanation:

Split the sentence into parts.

Eight times a number:  

Two less than eight times a number:  

Is equal to six:  

Combine both terms to form an equation.

The answer is:  

Example Question #79 : Equations

Set up the equation:  Four less than eight times a number is eighty.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

Eight times a number:  

Four less than eight times a number:  

Is eighty:  

Combine the terms to form an equation.

The answer is:  

Example Question #80 : Equations

Set up the following equation:  The product of four times a number and the square of six times the number is twenty four.

Possible Answers:

Correct answer:

Explanation:

Split the sentence into separate parts.

Four times a number:  

The square of six times the number: 

Is twenty four:  

Combine the parts:  

The answer is:   

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