Algebra II : Algebra II

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #1181 : Mathematical Relationships And Basic Graphs

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Solve by first changing the base of the right side.

Rewrite the equation.

With common bases, we can set the powers equal to each other.

Use distribution to simplify the right side.

Add  on both sides.

Add two on both sides.

Divide by 9 on both sides.

The answer is:  

Example Question #3851 : Algebra Ii

Solve:  

Possible Answers:

Correct answer:

Explanation:

In order to solve this equation, we will need to change the base of one half to two. Use a negative exponent to rewrite this term.

Rewrite the equation.

Since the bases are common, we can simply set the exponents equal to each other.

Solve for x.  Divide a negative one on both sides to eliminate the negatives.

The equation becomes:

Subtract  from both sides.

Divide both sides by negative four.

The answer is:  

Example Question #81 : Solving And Graphing Exponential Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

When dealing with exponential equations, we want to make sure the bases are the same. This way we can set-up an equation with the exponents.

 With the same base, we can now write

 Subtract  on both sides.

Example Question #82 : Solving And Graphing Exponential Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

When dealing with exponential equations, we want to make sure the bases are the same. This way we can set-up an equation with the exponents.

 With the same base, we can now write

 Subtract  on both sides.

Example Question #83 : Solving And Graphing Exponential Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

When dealing with exponential equations, we want to make sure the bases are the same. This way we can set-up an equation with the exponents.

 With the same base, we can now write

 Subtract  on both sides.

Example Question #84 : Solving And Graphing Exponential Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

When dealing with exponential equations, we want to make sure the bases are the same. This way we can set-up an equation with the exponents.

 With the same base, we can now write

 Subtract  on both sides.

 Divide  on both sides.

Example Question #81 : Solving And Graphing Exponential Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

When dealing with exponential equations, we want to make sure the bases are the same. This way we can set-up an equation with the exponents. Since the bases are now different, we need to convert so we have the same base. We do know that

 therefore

 With the same base, we can now write

 Subtract  on both sides.

 Divide  on both sides.

Example Question #86 : Solving And Graphing Exponential Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

When dealing with exponential equations, we want to make sure the bases are the same. This way we can set-up an equation with the exponents. Since the bases are now different, we need to convert so we have the same base. We do know that

 therefore

 With the same base, we can now write

 Add  on both sides.

 Divide  on both sides.

Example Question #1191 : Mathematical Relationships And Basic Graphs

Solve for .

Possible Answers:

Correct answer:

Explanation:

When dealing with exponential equations, we want to make sure the bases are the same. This way we can set-up an equation with the exponents. Since the bases are now different, we need to convert so we have the same base. We do know that

 therefore

 With the same base, we can now write

 Add  on both sides.

 Divide  on both sides.

Example Question #3851 : Algebra Ii

Solve for .

Possible Answers:

Correct answer:

Explanation:

When dealing with exponential equations, we want to make sure the bases are the same. This way we can set-up an equation with the exponents. Since the bases are now different, we need to convert so we have the same base. We do know that

 therefore

 With the same base, we can now write

 Subtract  on both sides.

 Divide  on both sides.

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