Algebra 1 : How to solve two-step equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #21 : How To Solve Two Step Equations

Solve for :         

Possible Answers:

Correct answer:

Explanation:

 

Example Question #22 : How To Solve Two Step Equations

Solve for :         

Possible Answers:

Correct answer:

Explanation:

Example Question #23 : How To Solve Two Step Equations

Solve for :         

Possible Answers:

Correct answer:

Explanation:

Example Question #21 : How To Solve Two Step Equations

Solve for :

Possible Answers:

Correct answer:

Explanation:

Simplify by combining like terms to get . Subtract and add  to both sides to get . Divide both sides by 2 to get .

Example Question #24 : How To Solve Two Step Equations

Solve the following equation for :

Possible Answers:

Correct answer:

Explanation:

This equation takes two steps to solve. When solving two steps, first we simplify the addition and subtraction terms. Then we do the multiplication/division step. 

So, in , our first step is to negate the subtraction of 13. The inverse of subtracting by 13 is to add by 13. So step 1 is to add 13 to both sides. We have

From here, we do a second step to solve for , by doing the inverse of multiplying by 2. The inverse of multiplication is division. So to "get rid" of the 2, we divide both sides by 2. So from,

 

And that is our answer, .

 

Example Question #25 : How To Solve Two Step Equations

Solve for :

Possible Answers:

Correct answer:

Explanation:

To solve for , you must first use the distributive property to simplify the right side of the equation. This gives you .

Then, subtract  and from both sides of the equation to get .

Divide both sides by  and you will get a solution of .

Example Question #27 : How To Solve Two Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

First, subtract 2 from both sides.

Divide both sides by 3.

Example Question #21 : How To Solve Two Step Equations

Solve for :   

Possible Answers:

Correct answer:

Explanation:

Example Question #21 : How To Solve Two Step Equations

Solve for :         

Possible Answers:

Correct answer:

Explanation:

Example Question #561 : Linear Equations

Solve for :

Possible Answers:

There is no solution.

 can be any real number.

Correct answer:

There is no solution.

Explanation:

This identically false statement is an indication that there is no solution.

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