Algebra II : Basic Single-Variable Algebra

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #91 : Equations

A slice of pizza has  pieces of pepperoni on it, and a full pizza has  slices.  If you order a pizza with  of it with pepperonis on top, which of the following equations will show how many pepperonis will you have on your pizza?

Possible Answers:

Correct answer:

Explanation:

It would help to first write out all our number with their units attached:

From here, we can use the units to cancel out until we have :

 

Example Question #2282 : Algebra Ii

Set up the equation:  Twice a number more than sixteen is forty.

Possible Answers:

Correct answer:

Explanation:

Split the sentence into parts.

Twice a number:  

Twice a number more than sixteen: 

Is forty:  

Combine the parts to form the equation.

The answer is:  

Example Question #2283 : Algebra Ii

Set up the equation:  Five less than three times a number is eight.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

Three times a number:  

Five less than three times a number:  

Is eight:  

Combine the parts to form the equation.

The answer is:  

Example Question #2284 : Algebra Ii

Set up the equation:  Six less than three times the square root of a number is four.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

The square root of a number:  

Three times the square root of a number:  

Six less than three times the square root of a number:  

Is four:  

Combine the parts to form the equation.

The answer is:  

Example Question #2285 : Algebra Ii

Set up the equation:  Four less than than twice the square root of a number is nine.

Possible Answers:

Correct answer:

Explanation:

The square root of a number:  

Twice the square root of a number:  

Four less than than twice the square root of a number:  

Is nine:  

Combine the parts to form the equation.

The answer is:  

Example Question #441 : Basic Single Variable Algebra

Set up the equation:  Four times the fourth root of twice a number is four.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

Twice a number:  

The fourth root of twice a number:  

Four times the fourth root of twice a number: 

Is four:  

The answer is: 

Example Question #91 : Equations

Set up the equation:  The sum of the square root of a number and the cube root of twice the number is seven.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

The square root of a number:  

The cube root of twice the number:  

The sum of the square root of a number and the cube root of twice the number:

Is seven:  

The answer is:  

Example Question #2288 : Algebra Ii

Set up the equation:  Two less than a fifth of a number squared is eighteen.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

A fifth of a number squared:  

Two less than a fifth of a number squared:  

Is eighteen:  

Combine the parts to form the equation.

The answer is:  

Example Question #91 : Setting Up Equations

Set up the equation:  Seven less than the fourth root of three times a number is nine.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

Three times a number:  

Fourth root of three times a number:  

Seven less than the fourth root of three times a number:  

Is nine:  

Combine the parts to form the equation.

The answer is:  

Example Question #441 : Basic Single Variable Algebra

Set up the equation:  The square of twice a number squared is equal to eight.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

Twice a number squared:  

The square of twice a number squared:  

Equal to eight:  

Combine the parts to form the equation.

The answer is:  

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