Algebra II : Solving Equations

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #221 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

To solve for , we need to isolate the variable by having the variable on one side and numbers on the other side.

 Subtract  on both sides.

 Simplify into a fraction.

 Subtract  on both sides.

 Multiply  on both sides.

Example Question #222 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

To solve for , we need to isolate the variable by having the variable on one side and numbers on the other side.

 Add  on both sides.

 Multiply  on both sides.

 

Example Question #223 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

To solve for , we need to isolate the variable by having the variable on one side and numbers on the other side.

 Subtract  on both sides.

 Simplify the fraction.

 Multiply  on both sides.

Example Question #224 : Solving Equations

Solve for .

 

Possible Answers:

Correct answer:

Explanation:

To solve for , we need to isolate the variable by having the variable on one side and numbers on the other side.

 Distribute the  to each term.

 Subtract  on both sides.

 Divide  on both sides.

Example Question #225 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

To solve for , we need to isolate the variable by having the variable on one side and numbers on the other side.

 Subtract  on both sides.

 Simplify the fractions.

 Multiply  on both sides.

Example Question #226 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

To solve for , we need to isolate the variable by having the variable on one side and numbers on the other side.

 Distribute the  to each term in the parentheses.

 Add like terms.

 Subtract  on both sides.

 Divide  on both sides.

Example Question #227 : Solving Equations

Solve for 

Possible Answers:

Correct answer:

Explanation:

To solve for , we need to isolate the variable by having the variable on one side and numbers on the other side.

 Distribute  to each term in the parentheses.

 Add  and subtract  on both sides.

 Divide  on both sides.

Example Question #228 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

To solve for , we need to isolate the variable by having the variable on one side and numbers on the other side.

 Distribute  to each term in the parenthesis.

 Simplify and add  on both sides.

 Divide  on both sides.

Example Question #229 : Solving Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Subtract six from both sides.

Simplify both sides.

Multiply both sides by the reciprocal of the coefficient of the x-variable.

Simplify both sides.

The answer is:  

Example Question #229 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

To solve for , we need to isolate the variable by having the variable on one side and numbers on the other side.

 Distribute the  to each term in the parentheses.

 Simplify and add  on both sides.

 Divide  on both sides.

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