Algebra II : Mathematical Relationships and Basic Graphs

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #1 : Solving And Graphing Radicals

Solve for x:

Possible Answers:

Correct answer:

Explanation:

To solve, use inverse opperations keeping in mind order of opperations:

divide both sides by 5

square both sides

add 12 to both sides

Example Question #1 : Solving Radical Equations

Solve for 

Possible Answers:

Correct answer:

Explanation:

 To get rid of the radical, we square both sides.

Example Question #1 : Solving And Graphing Radicals

Solve for .

Possible Answers:

No answer

Correct answer:

No answer

Explanation:

To get rid of the radical, we need to square both sides. The issue is radicals don't generate negative numbers unless we talk about imaginary numbers. In this case, our answer choice should be no answer. 

Example Question #323 : Radicals

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Square both sides to get rid of the radical.

 Subtract  on both sides.

Example Question #324 : Radicals

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Square both sides to get rid of the radical.

 Add  on both sides.

 

 

Example Question #325 : Radicals

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Square both sides to get rid of the radical.

 Divide  on both sides.

 

 

Example Question #326 : Radicals

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Square both sides to get rid of the radical.

 Multiply  on both sides.

 

 

Example Question #327 : Radicals

Solve for 

Possible Answers:

Correct answer:

Explanation:

 Square both sides to get rid of the radical.

 Subtract  on both sides.

 Divide  on both sides.

Example Question #11 : Solving Radical Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Subtract  on both sides.

 Square both sides to get rid of the radical.

 Divide  on both sides.

Example Question #12 : Solving And Graphing Radicals

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.

 Square both sides to get rid of the radical. When squaring negative values, they become positive.

 Subtract  on both sides. 

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