Algebra II : Basic Single-Variable Algebra

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #261 : Solving Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Use distribution to simplify the right side.

Add  on both sides.

Subtract 18 from both sides.

Divide by 11 on both sides.

The answer is:  

Example Question #392 : Equations

Given the set of equations, solve for :  

Possible Answers:

Correct answer:

Explanation:

In order to solve for the x-variable, we will need use the elimination method to cancel the y-terms.

Multiply the first equation by three, so that we can use addition to turn two equations into one.

Adding the converted equations together will cancel out the  terms, and will leave the x-variable by themselves.  The two equations will become one equation after adding.

Divide by four on both sides.

The answer is:  

Example Question #393 : Equations

Solve the following equation:  

Possible Answers:

Correct answer:

Explanation:

Distribute the nine through the binomial.

Simplify the terms.

Subtract 81 from both sides.

Divide by negative nine on both sides.  The negatives will cancel.

The answer is:  

Example Question #394 : Equations

Solve:  

Possible Answers:

Correct answer:

Explanation:

Simplify the right side by distributing the negative sign through the binomial.

Subtract  from both sides.

Add 24 on both sides.

Divide by negative 17 on both sides.

The answer is:  

Example Question #395 : Equations

Solve:  

Possible Answers:

Correct answer:

Explanation:

Add  on both sides.

Simplify both sides.

Add three on both sides.

Divide both sides by 16.

Simplify both sides.

The answer is:  

Example Question #396 : Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Subtract  from both sides.

Subtract 18 from both sides.

Divide by negative 12 on both sides.

Reduce the fractions.

The answer is:  

Example Question #397 : Equations

Solve:  

Possible Answers:

Correct answer:

Explanation:

Add three on both sides.

Multiply by  on both sides.

Divide by 24 on both sides.

The answer is:  

Example Question #398 : Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Divide by three on both sides.

The equation becomes:  

Add nine on both sides.

The answer is:  

Example Question #399 : Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Use distribution to expand the left side of the equation.

Add  on both sides.

Subtract six from both sides.

Divide by eight on both sides.

The answer is:  

Example Question #401 : Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Subtract  on both sides.

Add nine on both sides.

Divide by five on both sides.

The answer is:  

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