# High School Math : How to solve one-step equations with integers in pre-algebra

## Example Questions

### Example Question #1 : How To Solve One Step Equations With Integers In Pre Algebra

Explanation:

To isolate  on one side, subtract seven from both sides

### Example Question #2 : How To Solve One Step Equations With Integers In Pre Algebra

Explanation:

To solve the equation for , you must isolate  on one side.  Here you can divide both sides by 3.

### Example Question #2 : How To Solve One Step Equations With Integers In Pre Algebra

Solve for .

Explanation:

To solve equations, you must perform the same operations on both sides.

Subtract 5 from both sides.

### Example Question #4 : How To Solve One Step Equations With Integers In Pre Algebra

Solve the following equation for

Explanation:

In order to solve a one step equation, we want to isolate the variable. To do this, we pay special attention to what is being done to the variable. In this case we are multiplying the variable by . To "undo" this, we use the inverse of multiplication, which is division; thus we divide by  on both sides. Note that we are dividing by  since that is what is being multiplied; don't be tricked into dividing by .

Dividing both sides by , we get .

### Example Question #5 : How To Solve One Step Equations With Integers In Pre Algebra

Solve for  if .

Explanation:

To solve for  we must get all of the numbers on the other side of the equation as .

To do this in a problem where  is being multiplied by a number, we must divide both sides of the equation by the number.

In this case the number is  so we divide each side of the equation by  to make it look like this .

The s cancel to leave  by itself.

Then we perform the necessary division to get the answer of .

### Example Question #6 : How To Solve One Step Equations With Integers In Pre Algebra

Solve for  if ?

Explanation:

To solve for  we must get all of the numbers on the other side of the equation as .

To do this in a problem where  is being subtracted by a number, we must add the number to both sides of the equation.

In this case the number is  so we add  to each side of the equation to make it look like this

The s cancel on the left side and leave  by itself.

Then we perform the necessary addition to get the answer of .

### Example Question #1 : How To Solve One Step Equations With Integers In Pre Algebra

Solve for

Explanation:

Remembering the final goal is to get the  alone on one side of the equation.

To get rid of the , we perform the opposite operation. We add  to each side of the equation, cancelling out the  on the left side.

This brings the equation to

### Example Question #4 : How To Solve One Step Equations With Integers In Pre Algebra

If  what is   ?

Explanation:

If  you put  in for . Therefore it becomes .

Finally,

### Example Question #5 : How To Solve One Step Equations With Integers In Pre Algebra

Simplify:

Explanation:

First you multiply the coefficients .

Then you multiply According to the laws of exponents, when you multiply two numbers with similar bases (both  in this case) then you simply add the exponents .

Solve for  if