Algebra II : Solving Equations

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #151 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

In order to solve for , we need to isolate the variable on the left side of the equation. We will do this by performing the same operations on both sides of the equation.

 

Divide both sides of the equation by  .

Solve.

Example Question #152 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

In order to solve for , we need to isolate the variable on the left side of the equation. We will do this by performing the same operations on both sides of the equation.

 

Divide both sides of the equation by .

Solve.

Example Question #153 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

In order to solve for , we need to isolate the variable on the left side of the equation. We will do this by performing the same operations on both sides of the equation.

 

Multiply both sides of the equation by .

Solve.

Example Question #154 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

In order to solve for , we need to isolate the variable on the left side of the equation. We will do this by performing the same operations on both sides of the equation.

 

Dived both sides of the equation by .

Dividing by a fraction is the same as multiplying by its reciprocal; therefore, multiply both sides of the equation by  .

Solve.

Example Question #155 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

In order to solve for , we need to isolate the variable on the left side of the equation. We will do this by performing the same operations on both sides of the equation.

 

Multiply both sides of the equation by .

Solve.

Example Question #151 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

In order to solve this equation, we need to isolate the variable, , on the left side of the equals sign. We will do this by performing the same operations on both sides of the equation.

 

Subtract  from both sides of the equation.

Solve.

Example Question #152 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

In order to solve this equation, we need to isolate the variable, , on the left side of the equals sign. We will do this by performing the same operations on both sides of the equation.

 

Subtract  from both sides of the equation.

Solve.

Example Question #158 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

In order to solve this equation, we need to isolate the variable, , on the left side of the equals sign. We will do this by performing the same operations on both sides of the equation.

 

Subtract  from both sides of the equation.

Solve.

Example Question #159 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

In order to solve this equation, we need to isolate the variable, , on the left side of the equals sign. We will do this by performing the same operations on both sides of the equation.

 

Add  to both sides of the equation.

Solve.

Example Question #160 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

In order to solve this equation, we need to isolate the variable, , on the left side of the equals sign. We will do this by performing the same operations on both sides of the equation.

 

Add  to both sides of the equation.

Solve.

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