Algebra II : Equations

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #2291 : Algebra Ii

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:  

Example Question #2292 : Algebra Ii

Set up the equation:  Seventeen less than five times a number is twelve.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

Five times a number:  

Seventeen less than five times a number:  

Is twelve:  

Combine the parts.

The answer is:  

Example Question #2293 : Algebra Ii

Set up the equation:  The cube root of three less than five times a number is eight.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into part.

Five times a number:  

Three less than five times a number:  

The cube root of three less than five times a number:  

Is eight:  

Combine the terms to form the equation.

The answer is:  

Example Question #2294 : Algebra Ii

Set up the equation:  Four less than a third of a number cubed is six.

Possible Answers:

Correct answer:

Explanation:

Break up the statement into parts in order to set up the equation.

A third of a number cubed:  

Four less than a third of a number cubed:  

Is six:  

Combine the terms.

The answer is:  

Example Question #2295 : Algebra Ii

Set up the equation:  Three less than half a number cubed is eight.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

Half a number cubed:  

Three less than half a number cubed:  

Is eight:  

Combine the parts to set up the equation.

The answer is:  

Example Question #2296 : Algebra Ii

Set up the equation:  Half of the cube root of twice a number is seven.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

Twice a number:  

Cube root of twice a number:  

Half the cube root of twice a number:  

Is seven:  

Combine the parts to form the equation.

The answer is:  

Example Question #2297 : Algebra Ii

Set up the equation:  A third of a number less than five halves is eight.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

A third of a number:  

A third of a number less than five halves:  

Is eight:  

Combine the parts to create the equation.

The answer is:  

Example Question #2298 : Algebra Ii

Set up the equation:  Five less than twice the square root of twice a number is four.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

Twice a number: 

The square root of twice a number:  

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

Is four:  

The answer is:  

Example Question #2299 : Algebra Ii

Set up the equation:  Four less than five times a number squared is forty.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

A number squared:  

Five times a number squared:  

Four less than five times a number squared:  

Is forty:  

Combine the parts.

The answer is:  

Example Question #2300 : Algebra Ii

Set up the equation:  Two times the quantity of two less than thrice a number is twenty.

Possible Answers:

Correct answer:

Explanation:

Start with the inner quantity.

Two less than thrice a number:  

Two times the quantity of two less than thrice a number:  

Is twenty:  

The answer is:  

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