Algebra 1 : How to solve one-step equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #311 : Linear Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

To solve this equation we will need to isolate the variable on one side of the equation with all other constants on the other side. To isolate the variable perform opposite operations to manipulate the equation.

 

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

Example Question #312 : Linear Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

To solve this equation we will need to isolate the variable on one side of the equation with all other constants on the other side. To isolate the variable perform opposite operations to manipulate the equation.

 

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

Example Question #311 : Algebra 1

Solve for :

Possible Answers:

Correct answer:

Explanation:

 Subtract  on both sides.

Example Question #314 : Linear 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.

Example Question #315 : Linear Equations

Solve for :

Possible Answers:

Correct answer:

Explanation:

 Subtract  on both sides. When adding two negative numbers, we treat as an addition problem and add the minus sign in the end.

Example Question #312 : Algebra 1

Solve for :

Possible Answers:

Correct answer:

Explanation:

 Add  to both sides.

Example Question #317 : Linear 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 the problem as a subtraction problem.

Example Question #318 : Linear Equations

Solve for :

Possible Answers:

Correct answer:

Explanation:

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

Example Question #313 : Algebra 1

Solve for :

Possible Answers:

Correct answer:

Explanation:

 Divide  on both sides.

Example Question #320 : Linear Equations

Solve for :

Possible Answers:

Correct answer:

Explanation:

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

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