# TACHS Math : Algebra

## Example Questions

### Example Question #1 : Algebra

Solve the following inequality:

Explanation:

In algebra an inequality is a relationship that holds through different values of a variable. An inequality is considered to be solved when the variable is isolated to one side of the inequality. We will do this by performing the reverse of the operations that were done to the variable. It is important to note that what is done to one side of the inequality needs to be done on the other.

Let's start by writing the inequality.

Subtract  from both sides of the inequality.

Divide each side of the inequality by .

Solve.

The variable is greater than four.

### Example Question #2 : Algebra

Solve for .

Explanation:

In order to solve this problem we need isolate the variable on the left side o the equation. We will do this by performing the reverse of the operations that were done to the variable. It is important to note that what is done to one side of the equation needs to be done on the other.

Let's start by writing the equation.

Subtract  from both sides of the equation.

Multiply both sides of the equation by .

Solve.

### Example Question #1 : One Variable Equations

Solve for :

Explanation:

Start by subtracting  from both sides.

Next, add  to both sides of the equation.

Finally, divide both sides by .

### Example Question #1 : One Variable Equations

Solve for :

Explanation:

Start by subtracting both sides by .

Next, subtract both sides by .

Finally, divide both sides by .

### Example Question #1 : Algebra

What value of makes this a true statement?