Algebra 1 : How to solve two-step equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #592 : Algebra 1

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Subtract  to both sides. 

 Cross-multiply. 

Example Question #593 : Algebra 1

Solve for 

Possible Answers:

Correct answer:

Explanation:

 Isolate  by adding both sides by .

 Divide both sides by  to just get .

Example Question #63 : How To Solve Two Step Equations

Solve the following equation for .

Possible Answers:

Correct answer:

Explanation:

Subtract 11 from both sides.

Divide each side by 3. 

Example Question #594 : Algebra 1

Solve for .

Possible Answers:

Correct answer:

Explanation:

 

Add  to both sides.

 

Divide both sides by .

Example Question #595 : Algebra 1

Solve for .

Possible Answers:

Correct answer:

Explanation:

 

Add  to both sides.

 

Divide both sides by .

Example Question #596 : Algebra 1

Solve for .

Possible Answers:

Correct answer:

Explanation:

 

Subtract  from both sides. 

 

Multiply both sides by .

Example Question #61 : How To Solve Two Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 

Multiply both sides by .

 

Subtract  from both sides.

Example Question #597 : Algebra 1

Solve for .

Possible Answers:

Correct answer:

Explanation:

 

Multiply both sides by .

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

 

Add  to both sides. When adding a positive number to a negative number, we must compare the values excluding the sign. Since  is greater than  and is negative, our answer will be negative. We will then treat the left side of the equation as a subtraction problem.

Example Question #62 : How To Solve Two Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 

Multiply both sides by .  

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

 

Subtract both sides by 

Example Question #601 : Algebra 1

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.

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