Algebra 1 : How to solve two-step equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #821 : Linear Equations

Solve the following equation:  

Possible Answers:

Correct answer:

Explanation:

Subtract four on both sides.

Simplify both sides.

Divide by negative three on both sides.

Simplify both sides.  A negative divided by a negative will result in a positive value.

The answer is:  

Example Question #291 : How To Solve Two Step Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Subtract seven from both sides to isolate the x term.

Simplify both sides.

Divide by negative five on both sides.

Simplify both fractions.

The answer is:  

Example Question #291 : How To Solve Two Step Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Add seven on both sides.

Simplify both sides of the equation.

Multiply both sides by six.

Simplify both sides.

The answer is:  

Example Question #291 : How To Solve Two Step Equations

Solve

Possible Answers:

Correct answer:

Explanation:

Solving for a linear two-step problem is simple. It's just a matter of solving for x. Just think "how do I get x by itself?" In this type of problem, it is crucial to remember that what you do to one side you must do to the other. 

In the case for ,

the first step for getting x by itself is to subtract  from both sides. 

Comparing the original problem to what it looks like after subtracting  from both sides, we can deduce that we're closer to getting x by itself. The only thing left to do is dividing both sides by . This will give the final answer for x.

Example Question #822 : Linear Equations

Solve 

Possible Answers:

Correct answer:

Explanation:

Solving for a linear two-step problem is simple. It's just a matter of solving for x. Just think "how do I get x by itself?" In this type of problem, it is crucial to remember that what you do to one side you must do to the other. 

In the case for ,

the first step for getting x by itself is to subtract  from both sides. 

Comparing the original problem to what it looks like after subtracting  from both sides, we can deduce that we're closer to getting x by itself. The only thing left to do is dividing both sides by . This will give the final answer for x.

Example Question #823 : Linear Equations

Solve 

Possible Answers:

Correct answer:

Explanation:

Solving for a linear two-step problem is simple. It's just a matter of solving for x. Just think "how do I get x by itself?" In this type of problem, it is crucial to remember that what you do to one side you must do to the other. 

In the case for ,

the first step for getting x by itself is to subtract  from both sides. 

Comparing the original problem to what it looks like after subtracting  from both sides, we can deduce that we're closer to getting x by itself. The only thing left to do is dividing both sides by . This will give the final answer for x.

Example Question #827 : Linear Equations

Solve 

Possible Answers:

Correct answer:

Explanation:

Solving for a linear two-step problem is simple. It's just a matter of solving for x. Just think "how do I get x by itself?" In this type of problem, it is crucial to remember that what you do to one side you must do to the other. 

In the case for ,

the first step for getting x by itself is to add  to both sides. 

Comparing the original problem to what it looks like after adding  to both sides, we can deduce that we're closer to getting x by itself. The only thing left to do is dividing both sides by . This will give the final answer for x.

Example Question #292 : How To Solve Two Step Equations

Solve the following equation for x:

Possible Answers:

Correct answer:

Explanation:

We must begin by isolating all variables. To do this, we use inverse operations. In other words, we must add  to both sides of the equation. This leaves us with .

Finally, we again use inverse operations: in this case, division. When we divide both sides by , we are left with .

Example Question #299 : How To Solve Two Step Equations

 

Solve for :

Possible Answers:

4

-6

6

16

24

Correct answer:

6

Explanation:

To get  by itself, first add 4 to both sides of the equation:

    

Then, divide each side of the equation by 4:

Example Question #293 : How To Solve Two Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

Divide each side of the equation by 5.

Take the square root of each side of the equation.

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