# GED Math : Solving for the Variable

## Example Questions

### Example Question #656 : Ged Math

Give the solution set:

Explanation:

Collect the like terms by subtracting  from both sides:

Isolate  on the right by dividing both sides by . Reverse the direction of the inequality symbol, since you are dividing by a negative number:

The solution set is .

### Example Question #657 : Ged Math

Solve for :

Explanation:

Divide by 9 on both sides.

### Example Question #658 : Ged Math

Solve for :

Explanation:

Subtract 1 from both sides.

Divide by 17 on both sides.

### Example Question #659 : Ged Math

Solve the for :

Explanation:

Subtract 5 from both sides.

Divide by negative three on both sides.

### Example Question #660 : Ged Math

Which of the following makes this equation true:

Explanation:

To answer the question, we will solve for x. We get

### Example Question #51 : Solving For The Variable

Solve for x:

Explanation:

Distribute the two with both of the terms inside the binomial.

Divide by 2 on both sides.

### Example Question #52 : Solving For The Variable

Solve for .

Explanation:

Start by subtracting  from both sides.

Square both sides of the equation to get rid of the square root.

Add  to both sides of the equation.

Divide both sides by .

### Example Question #53 : Solving For The Variable

Which of the following makes this equation true:

Explanation:

To answer the question, we will solve for h. We get

### Example Question #54 : Solving For The Variable

Solve:

Explanation:

To isolate the x-variable, we will need to multiply by one-third on both sides.

### Example Question #55 : Solving For The Variable

Which of the following makes this equation true:

Explanation:

To answer the question, we will solve for x. So, we get