# Algebra 1 : How to solve one-step equations

## Example Questions

### Example Question #31 : How To Solve One Step Equations

Solve for .

Explanation:

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

This is the case. Answer is

### Example Question #32 : How To Solve One Step Equations

Solve for .

Explanation:

To isolate , we would add  on both sides.

The left side is just

The right side, we will have

.

### Example Question #33 : How To Solve One Step Equations

Solve the equation for

Explanation:

Isolate  by subtracting 14 from each side of the equation.

6 minus 14 is negative 8, so .

### Example Question #34 : How To Solve One Step Equations

Solve for .

Explanation:

Divide both sides by .

### Example Question #35 : How To Solve One Step Equations

Solve for .

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 : How To Solve One Step Equations

Solve for

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:

### Example Question #37 : How To Solve One Step Equations

Solve for

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:

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.

Solve for .

Explanation:

### Example Question #39 : How To Solve One Step Equations

Solve for .

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.

Solve for .