Algebra II : Solving Equations

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #412 : Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Add  on both sides.

Combine like-terms on both sides.

Subtract nine from both sides.

Divide by five on both sides.

The answer is:  

Example Question #413 : Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Subtract  from both sides.

The equation becomes: 

Add seven on both sides.

Divide by six on both sides and reduce the fraction.

The answer is:  

Example Question #414 : Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Add 12 on both sides.

Add  on both sides of the equation.

Simplify both sides.

Divide by 13 on both sides.

The answer is:  

Example Question #2601 : Algebra Ii

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Add  on both sides.

The equation becomes:

Add nine on both sides.

The equation becomes:  

Divide by 16 on both sides.

Reduce the fractions.

The answer is:  

Example Question #416 : Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Determine the least common denominator of the fractions by multiplying all the denominators together.

We can multiply both sides by 84 in order to eliminate the fractions.

Simplify both sides.

Add 21 on both sides.

Divide by 28 on both sides.

The answer is:  

Example Question #411 : Equations

If 

 

and 

,

what is the value of ?

Possible Answers:

Correct answer:

Explanation:

In order to answer this question, you must first find .

Plugging in 6 for x in the f(x) equation,

you get 6 as your answer, so then you plug 6 in as the x in the g(x) equation.

.

Thus .

Example Question #412 : Equations

Solve  for .

Possible Answers:

Correct answer:

Explanation:

, then setting and dividing the entire equation by , you get

Example Question #413 : Equations

Possible Answers:

Correct answer:

Explanation:

When adding , you only add the coefficients and keep the variable, so and then keep the , so it equals .

Example Question #420 : Equations

Solve the equation:   

Possible Answers:

Correct answer:

Explanation:

Isolate the x-variable by subtracting  on both sides.

Simplify both sides.

Divide by negative 17 on both sides.

The answer is:  

Example Question #281 : Solving Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Subtract  from both sides of the equation.

Add seven on both sides.

Divide by 7 on both sides.

The answer is:  

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