Algebra 1 : How to solve two-step equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #11 : How To Solve Two Step Equations

Solve for the value of .

Possible Answers:

Correct answer:

Explanation:

For the equation , a set of two operations can be used to determine the value of 

First, subtract  from both sides of the equation to isolate the variable with its coefficient.

Second, divide both sides of the equation by the coefficient  to isolate the variable and its value.

The value of  is .

Example Question #541 : Algebra 1

Solve this equation:

Possible Answers:

Correct answer:

Explanation:

Begin by multiplying out all of the terms by the distributive property:

Then, combine like terms on both sides of the equation:

Add  to both sides of the equation:

, or 

Add 3 to both sides:

, or

Finally, divide both sides by 13 to give the final answer:

Example Question #12 : How To Solve Two Step Equations

Solve for in the equation below.

Possible Answers:

Correct answer:

Explanation:

Use the distributive property to eliminate the parantheses.

Combine like terms.

Now we need to isolate . We can add to both sides of the equation, then subtract from both sides.

Example Question #544 : Algebra 1

Solve for :

Possible Answers:

Correct answer:

Explanation:

can be simplified into . If you move the 's to one side and the integers to the other, you will end up with . Divide both sides by , and you get .

Example Question #545 : Algebra 1

Solve for :

Possible Answers:

Correct answer:

Explanation:

can be simplified to

.

Next, you move the 's to one side and the integers to the other side (i.e. subtract  from both sides and add 3 to both sides).

This gives you

which lets you come to

.

Example Question #11 : How To Solve Two Step Equations

Possible Answers:

Correct answer:

Explanation:



 

Example Question #11 : How To Solve Two Step Equations

Solve for :

Possible Answers:

Correct answer:

Explanation:

First, use the distributive property on  to get . Next, combine the 's on the right side of the equation to get . Then, add 3 and subtract from both sides to separate the 's and integers: . Finally, divide both sides by 3 to get the solution of .

Example Question #548 : Algebra 1

Solve for :

Possible Answers:

There is no solution.

 can be any real number.

Correct answer:

 can be any real number.

Explanation:

This identically true statement is an indication that the solution set is the set of all real numbers.

Example Question #11 : How To Solve Two Step 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.

Example Question #12 : How To Solve Two Step Equations

Solve for :

Possible Answers:

There is no solution.

 can be any real number.

Correct answer:

 can be any real number.

Explanation:

This identically true statement is an indication that the solution set is the set of all real numbers.

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