Algebra 1 : How to solve two-step equations

Study concepts, example questions & explanations for Algebra 1

varsity tutors app store varsity tutors android store

Example Questions

Example Question #31 : How To Solve Two Step Equations

Solve for :

Possible Answers:

The equation has no solution.

Correct answer:

Explanation:

Example Question #31 : How To Solve Two Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

Notice that  can be canceled out by subtracting it from both sides.

Now, we can isolate . First, we need to get all the variables on the same side by adding  to each side.

Subtract  from both sides.

Finally, multiply both sides by .

Example Question #562 : Algebra 1

Solve for :

Possible Answers:

The equation has no solution.

Correct answer:

The equation has no solution.

Explanation:

This statement is identically false, so the original equation has no solution.

Example Question #32 : How To Solve Two Step Equations

Solve for 

Possible Answers:

Correct answer:

Explanation:

Example Question #561 : Algebra 1

Solve for 

Possible Answers:

Correct answer:

Explanation:

Example Question #561 : Linear Equations

Solve for :

Possible Answers:

Correct answer:

Explanation:

Example Question #566 : Algebra 1

Solve for :

Possible Answers:

The solution set is the set of all real numbers.

Correct answer:

The solution set is the set of all real numbers.

Explanation:

This statement is identically true; therefore, the solution set is the set of all real numbers.

Example Question #38 : How To Solve Two Step Equations

Call the three angles of a triangle . The measure of  is twenty degrees more than that of ; the measure of  is forty degrees less than twice that of . What is the greatest measure of any of the three angles of the triangle?

Possible Answers:

Correct answer:

Explanation:

Call the measure of  . Since the measure of  is twenty degrees more than that of , we can say that  has measure . Since the measure of  is forty degrees less than twice that of , we can say that  has measure 

The sum of the measures of the three angles of a triangle is 180, so we can set up and solve an equation that sets the sum of these three expressions equal to 180:

Substitute 50 for  in the other two expressions:

The triangle has angles measuring , so the answer to the question is .

Example Question #571 : Algebra 1

Solve for :

 

Possible Answers:

Correct answer:

Explanation:

 

Example Question #31 : How To Solve Two Step Equations

Find the value of  in the following linear equation and select the correct answer from the choices listed below.

Possible Answers:

Correct answer:

Explanation:

Solve equation by using inverse order of operations to get  by itself.

Order of operations: PEMDAS. Addition and subtraction usually come last, so when using inverse order of operations to "undo an expression," they come first. 8 is being added to , so subtract 8 from both sides in order to get  alone.

     

Next comes multiplication/division.  is being multiplied by 2, so divide both sides by 2 to get  on its own.

Learning Tools by Varsity Tutors