Algebra II : Solving Equations

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #81 : Solving Equations

A tank can fill a swimming pool in two hours. A hose can fill the same swimming pool in three hours. How long will it take in hours if both the tank and hose fill the swimming pool at the same time?

Possible Answers:

Correct answer:

Explanation:

Let's set-up an equation.

 represents the time they will take together and  represents the job both the tank and hose finish as a whole

Find the common denominator and add the fractions. . Cross-multiply.

 Divide  on both sides.

 hours

Example Question #91 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Subtract  on both sides. When adding two negative numbers, we just add the numbers and put a minus sign in the end.

Example Question #92 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Subtract  on both sides. Since  is greater than  and is negative, our answer is negative. We treat as a normal subtraction problem.

Example Question #93 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Subtract  on both sides.

 Divide  on both sides.

Example Question #91 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Add  on both sides.

Example Question #95 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Add  on both sides. Since  is greater than  and is negative, our answer is negative. We treat as a subtraction problem.

Example Question #96 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Add  on both sides.

 Divide  on both sides.

Example Question #97 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Add  on both sides.

 Subtract  on both sides. 

 Divide both sides by .

Example Question #98 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Add  on both sides.

 Subtract  on both sides.

 Divide  on both sides.

Example Question #231 : Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

There are TWO ways:

Method 

 Distribute the .

 Add  on both sides.

 Divide  on both sides.

 

Method :

 Divide  on both sides.

 Add  on both sides.

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