Algebra 1 : How to solve one-step equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #31 : Algebra 1

Solve for .

Possible Answers:

Correct answer:

Explanation:

To isolate , we know anything added or subtracted by  is the same.

This is the case. Answer is 

Example Question #32 : Algebra 1

Solve for .

Possible Answers:

Correct answer:

Explanation:

To isolate , we would add  on both sides.

The left side is just  

The right side, we will have 

.

Example Question #33 : Algebra 1

Solve the equation for

Possible Answers:

Correct answer:

Explanation:

Isolate  by subtracting 14 from each side of the equation.

6 minus 14 is negative 8, so .

Example Question #34 : Algebra 1

Solve for .

Possible Answers:

Correct answer:

Explanation:

 

Add  to both sides.

 

Divide both sides by .

Example Question #31 : How To Solve One Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 

Subtract  from both sides. Since we are essentially adding two negative numbers, we will treat the right side of the equation as an addition problem and put a negative sign afterwards.

 

Divide both sides by .

When we divide a negative number by a positive number the answer is always negative.

Example Question #36 : Algebra 1

Solve for 

Possible Answers:

Correct answer:

Explanation:

 

Adding a negative number is the same operation as subtracting a positive number. Thus, the left side of the equation can be written as follows:

Add  to both sides.

Example Question #37 : Algebra 1

Solve for 

Possible Answers:

Correct answer:

Explanation:

 

Adding a negative number is the same operation as subtracting a positive number. Thus, the left side of the equation can be written as follows:

Add  to both sides. 

Since  is greater than  and is positive, our answer will be positive. We will rewrite the right side of the equation and treat it as a subtraction problem.

Example Question #38 : Algebra 1

Solve for .

Possible Answers:

Correct answer:

Explanation:

 

Add  to both sides.

Example Question #39 : Algebra 1

Solve for .

Possible Answers:

Correct answer:

Explanation:

 

Subtracting a negative number is the same operation as adding a positive number. Thus, the left side of the equation can be written as follows:

Subtract  from both sides.

Example Question #40 : Algebra 1

Solve for .

Possible Answers:

Correct answer:

Explanation:

 

Subtract  from both sides.

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