Algebra 1 : Linear Equations

Study concepts, example questions & explanations for Algebra 1

varsity tutors app store varsity tutors android store

Example Questions

Example Question #201 : How To Solve One Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

In order to solve for , we need to isolate the variable on the left side of the equation. We will do this by performing the same operations to both sides of the equation.

 

Subtract  from both sides of the equation.

Solve.

Example Question #202 : How To Solve One Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

In order to solve for , we need to isolate the variable on the left side of the equation. We will do this by performing the same operations to both sides of the equation.

 Subtract  from both sides of the equation. Remember to line up the decimals. When subtracting with negative numbers, we treat the operation as addition and add a negative sign to the final sum.

Simplify and rewrite.

Solve.

Example Question #203 : How To Solve One Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

In order to solve for , we need to isolate the variable on the left side of the equation. We will do this by performing the same operations to both sides of the equation.

 

Subtract  from both sides of the equation. Remember, when subtracting with negative numbers, we treat the operation as addition and add a negative sign to the final sum.

Simplify and rewrite.

Solve.

Example Question #204 : How To Solve One Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

In order to solve for , we need to isolate the variable on the left side of the equation. We will do this by performing the same operations to both sides of the equation.

 

Add  to both sides of the equation.

Solve.

Example Question #205 : How To Solve One Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

In order to solve for , we need to isolate the variable on the left side of the equation. We will do this by performing the same operations to both sides of the equation.

 

Add  to both sides of the equation. Since  is greater than  and is positive, our answer is positive. We will treat the operation as a subtraction problem.

Simplify and rewrite.

Solve.

Example Question #203 : How To Solve One Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

In order to solve for , we need to isolate the variable on the left side of the equation. We will do this by performing the same operations to both sides of the equation.

 

Add  to both sides of the equation. Remember to line up the decimals. Since  is greater than  and is positive, our answer is positive. We will treat the operation as a subtraction problem.

Simplify and rewrite.

Solve

Example Question #207 : How To Solve One Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

In order to solve for , we need to isolate the variable on the left side of the equation. We will do this by performing the same operations to both sides of the equation.

 

Divide both sides of the equation by .

Solve.

Example Question #208 : How To Solve One Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

In order to solve for , we need to isolate the variable on the left side of the equation. We will do this by performing the same operations to both sides of the equation.

 

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

Solve.

Example Question #209 : Algebra 1

Solve for .

Possible Answers:

Correct answer:

Explanation:

In order to solve for , we need to isolate the variable on the left side of the equation. We will do this by performing the same operations to both sides of the equation.

 

Divide both sides of the equation by .

Since each value has one decimal place, we can each shift them one place to the right. Simplify and rewrite.

 

Solve.

Example Question #209 : How To Solve One Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

In order to solve for , we need to isolate the variable on the left side of the equation. We will do this by performing the same operations to both sides of the equation.

 

Multiply both sides by .

Solve.

Learning Tools by Varsity Tutors