Algebra 1 : How to solve two-step equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #801 : Algebra 1

Solve:  

Possible Answers:

Correct answer:

Explanation:

Subtract eight on both sides to isolate the term with the x-variable.

To isolate the x-variable, we will need to multiply both sides by the reciprocal of the coefficient in front of the x.

Simplify both sides.

The answer is:  

Example Question #271 : How To Solve Two Step Equations

Solve the following equation:  

Possible Answers:

Correct answer:

Explanation:

Subtract nine on both sides to separate the term with the x variable.

Simplify both sides.

Divide by four on both sides.

Simplify both fractions.

The answer is:  

Example Question #273 : How To Solve Two Step Equations

Solve for :

Possible Answers:

Correct answer:

Explanation:

To solve this problem you need to get  by itself. The first step to do this is to subtract 11 from both sides to get:

From here you need to divide both sides by 14 to get a final answer of

Example Question #272 : How To Solve Two Step Equations

An arrow is shot according to the trajectory 

Solve for .

Possible Answers:

No real solution

Correct answer:

Explanation:

To simplify this problem you must first divide or multiply both sides by negative one to get:

From here you must square root both sides, but it is important to remember that when you take the square root you get a positive and negative answer.

So:

  so 

Example Question #275 : How To Solve Two Step Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Isolate the term with the x variable by adding eight on both sides.

Simplify both sides.

Divide by four on both sides.

Simplify each fraction on both sides.

The answer is:  

Example Question #271 : How To Solve Two Step Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Subtract six from both sides of the equation.

Simplify both equations.

Divide by three on both sides.

Simplify both sides.

The answer is:  

Example Question #803 : Algebra 1

Solve the following equation:

Possible Answers:

Correct answer:

Explanation:

Subtract eight on both sides.

Simplify both sides.

Divide by negative six on both sides.

The left side will leave  by itself. Simplify the right side by common factors.

Cancel the like terms in the numerator and denominator.

The answer is: 

Example Question #272 : How To Solve Two Step Equations

Solve the following equation:  

Possible Answers:

Correct answer:

Explanation:

Subtract nine on both sides.

Simplify both sides.

Divide by negative six on both sides.

Simplify both sides.

The answer is:  

Example Question #273 : How To Solve Two Step Equations

Solve the following equation:

Possible Answers:

Correct answer:

Explanation:

To isolate the , first subtract  on both sides.

Simplify both sides.

Divide by three on both sides.

This fraction is irreducible.

The answer is: 

Example Question #274 : How To Solve Two Step Equations

Solve the following equation:  

Possible Answers:

Correct answer:

Explanation:

To isolate the x-variable, add  on both sides to move it to the right side and turn the sign into positive so that we won't have to divide by a negative one.

Simplify both sides.

Add twenty on both sides.

This will eliminate the negative twenty on the right side.

The answer is:  

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