# Pre-Algebra : Two-Step Equations with Integers

## Example Questions

### Example Question #1 : Two Step Equations

Solve for :

Explanation:

The goal is to isolate the variable to one side.

Subtract  from each side of the equation:

Divide each side by :

### Example Question #1 : Two Step Equations With Integers

Solve for :

Explanation:

The goal is to isolate the variable to one side.

Divide each side by :

Take the square root of each side:

### Example Question #2 : Two Step Equations

Solve for :

Explanation:

The goal is to isolate the variable to one side.

Subtract  from each side:

Divide each side by :

Take the cube root of each side:

### Example Question #3 : Two Step Equations

Solve for :

Explanation:

The goal is to isolate the variable to one side.

Subtract  from each side:

Take the square root of each side:

### Example Question #2 : Two Step Equations

Solve for .

Explanation:

Step 1: Subtract  from both sides:

Step 2: Divide both sides by :

### Example Question #5 : Two Step Equations

Explanation:

To solve two-step equations, first move everything that does not have the variable over to the other side of the equation. In order to move the -3 to the other side of the equation, you must do the opposite operation (addition). Keep in mind you must do the same step on each side of the equation every time you change something.

The equation should now look like this:

Next, isolate the variable by moving it to the other side of the equation. Do this by doing the opposite operation (division):

The result should be the following:

### Example Question #6 : Two Step Equations

Explanation:

To solve two-step equations, first move everything that does not have the variable over to the other side of the equation. In order to move the -2 to the other side of the equation, you must do the opposite operation (addition). Keep in mind you must do the same step on each side of the equation every time you change something.

The equation should now look like this:

Then, isolate the variable by moving the 7 to the other side of the equation. Do this by doing the opposite operation (division).

The result should be the following:

### Example Question #7 : Two Step Equations

Explanation:

To solve two-step equations, first move everything that does not have the variable over to the other side of the equation. In order to move the -38 to the other side of the equation, you must do the opposite operation (addition). Keep in mind you must do the same step on each side of the equation every time you change something.

The equation should now look like this:

Then, isolate the variable by moving the 15 to the other side of the equation. Do this by doing the opposite operation (division).

The result should be as follows:

### Example Question #8 : Two Step Equations

Solve for x:

Explanation:

In order to find x, you need to isolate it. If x isn't alone, you haven't finished solving the problem!

Step 1: subtract 14 from both sides of the equation

Step 2: divide both sides of the equation by 2

Solve for x: