Algebra 1 : How to solve two-step equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #181 : How To Solve Two Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Subtract  on both sides.

 Multiply  on both sides.

Example Question #182 : How To Solve Two Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Subtract  on both sides. Since  is greater than  and is negative, our answer is negative. We treat as a normal subtraction.

 Multiply  on both sides. When multiplying with a negative number, our answer is negative.

Example Question #183 : How To Solve Two Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Subtract  on both sides. When adding with another negative number, just treat as an addition problem and then add a negative sign in front.

 Multiply  on both sides. When multiplying with a negative number, our answer is negative.

Example Question #184 : How To Solve Two Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Add  on both sides.

 Divide  on both sides.

Example Question #185 : How To Solve Two Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Add  on both sides. Since  is greater than  and is negative, our answer is negative. We treat as a normal subtraction.

 Divide  on both sides. When dividing with a negative number, our answer is negative. 

Example Question #186 : How To Solve Two Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Add  on both sides.

 Divide both sides by . When dividing with a positive number, our answer is negative.

Example Question #187 : How To Solve Two Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Add  on both sides.

 Multiply  on both sides.

Example Question #188 : How To Solve Two Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Since  is greater than  and is positive, our answer is positive. We treat as a normal subtraction.

 Multiply  on both sides.

Example Question #189 : How To Solve Two Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Add  on both sides. Since  is greater than  and is negative, our answer is negative. We treat as a normal subtraction.

 Multiply  on both sides. When multiplying with another negative number, our answer is positive.

Example Question #190 : How To Solve Two Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

In order to solve for , you first must get it by itself on one side of the equal sign using opposite operations. Whatever you do to one side of the equation you must do to the other. In the case of:

You first subtract  from both sides of the equation.

Giving you, 

Next, you multiply each side of the equation by .

Solve.

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