Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #149 : How To Solve Two Step Equations

Solve for :

Possible Answers:

Correct answer:

Explanation:

First, subtract  from both sides of the equation:

Then, divide both sides by  to solve for :

Example Question #141 : How To Solve Two Step Equations

Solve for :

Possible Answers:

Correct answer:

Explanation:

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

Add  to both sides of the equation. 

Remember that adding a negative number to a positive number is the same as subtracting a positive number.

Divide both sides of the equation by .

Simplify.

Example Question #151 : How To Solve Two Step Equations

Solve for :

Possible Answers:

Correct answer:

Explanation:

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

Subtract  from both sides of the eqaution.

Divide both sides of the equation by .

Simplify.

Example Question #684 : Algebra 1

Solve for :

Possible Answers:

Correct answer:

Explanation:

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

Add  to both sides of the equation.

Simplify the left side and find a common denominator to add the fractions on the right side of the equation.

Simplify.

Multiply both sides  of the equation by .

Simplify.

Example Question #685 : Algebra 1

Solve for :

Possible Answers:

Correct answer:

Explanation:

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

Add  to both sides of the equation.

Divide both sides of the equation by .

Simplify.

Example Question #686 : Algebra 1

Solve for :

Possible Answers:

Correct answer:

Explanation:

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

Add  to both sides of the equation.

Divide both sides of the equation by .

Remember that when a positive number is divided by a negative number, the answer is always negative.

Simplify.

Example Question #687 : Algebra 1

Solve for :

Possible Answers:

Correct answer:

Explanation:

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

Subtract  from both sides of the equation.

Divide both sides of the equation by .

Simplify. Remember that when a negative number is divided by a negative number, the answer is always positive.

Example Question #688 : Algebra 1

Solve for :

Possible Answers:

Correct answer:

Explanation:

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

Divide both sides by .

Simplify. Remember that when a negative number is divided by a negative number, the answer is always positive.

Example Question #151 : How To Solve Two Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

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

 

Subtract  from both sides of the equation.

Simplify. 

  

Divide both sides of the equation by 

Solve.

Example Question #152 : How To Solve Two Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

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

 

Subtract  from both sides of the equation.

When subtracting a negative number from another negative number, we will treat it as an addition problem and then add a negative sign to the sum.

Simplify.

 

Divide both sides of the equation by 

Solve. When dividing a negative number by a positive number, our answer becomes negative.

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