# GED Math : Single-Variable Algebra

## Example Questions

### Example Question #11 : Solving For The Variable

Give the solution set of the inequality:

Explanation:

Note that the inequality symbol changes.

or, in interval notation, .

### Example Question #11 : Solving For The Variable

Solve for :

Explanation:

Note that the inequality symbol changes.

or, in interval notation, .

### Example Question #11 : Solving For The Variable

Explanation:

Note the switch in the inequality symbol.

.

This can also be written as .

### Example Question #14 : Solving For The Variable

Which of the following is the solution set of the inequality  ?

Explanation:

Solve using the properties of inequality, as follows:

Note that division by a negative number reverses the symbols.

In interval form, this is .

### Example Question #15 : Solving For The Variable

If , then

Explanation:

To solve this you must find the value of .

The first equation states that . This is a mult-step equation.  The first step is to remove the constant, 6, from the equation; this is done by using the inverse operation, which means you would subtract the 6 from both sides of the equation.

Then divide both sides by the 7 in order to isolate the variable.

Then plug the 3 into the second equation for the value of x.

### Example Question #11 : Solving For The Variable

If , what is the value of ?

Explanation:

The first step in the process of solving for  in this problem is to use the distributive property to distribute the  to what is inside the parentheses.

The next step is to isolate the variable by using inverse operations. In this example, in order to get rid of the , you would add  to both sides of the equation.

The next step is to divide both sides by the coefficient, (the number next to the variable), which in this case is .

### Example Question #622 : Ged Math

If , then what is the value of ?

Explanation:

In order to solve for the value of  you must isolate the variable.  This is done by subtracting the constant in this equation, which is 12, from both sides of the equation.

### Example Question #622 : Ged Math

Solve for :

Explanation:

In order to solve for , we will need the equation to be in terms of , and isolate the variable .

Solve by grouping the  terms together.  Subtract  on both sides.

Divide by negative five on both sides.

### Example Question #621 : Ged Math

Solve for :

Explanation:

Distribute the term on the right side of the equation.

Combine like terms.

Subtract  on both sides.

Divide by negative  on both sides.

### Example Question #625 : Ged Math

Which of the following makes this equation true:

Explanation:

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