# GED Math : Simplifying, Distributing, and Factoring

## Example Questions

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### Example Question #591 : Ged Math

A triangle has a base of  ft and height of  ft.  What is the area (in square feet) of the triangle?

Explanation:

The area of a triangle is:

Use the FOIL Method to simplify.

### Example Question #42 : Simplifying, Distributing, And Factoring

Simplify

Explanation:

The first step is to distribute the number outside of the parenthesis to the values inside the parenthesis.

Then in order to simplify you would combine like terms.

.

### Example Question #43 : Simplifying, Distributing, And Factoring

Solve:

Explanation:

Distribute the terms on both sides.

Subtract 15 on both sides.

Divide by 13 on both sides.

### Example Question #41 : Simplifying, Distributing, And Factoring

Solve:

Explanation:

Simplify the right side.

Subtract  on both sides.

Divide both sides by 35.

### Example Question #591 : Ged Math

Simplify by distributing:

Explanation:

Using the Distributive Property of Multiplication over Addition, multiply  by each of the terms between the parentheses:

Multiply out each coefficient:

Simplify the addition and subtraction of the resulting negatives in the second and third terms:

### Example Question #601 : Ged Math

Simplify the following equation:

Explanation:

Add 24 on both sides of the equation.

Divide by 8 on both sides.

Reduce both fractions.

### Example Question #47 : Simplifying, Distributing, And Factoring

Factor:

Explanation:

In order to factor, we will need to pull out a term that all terms share.

### Example Question #601 : Ged Math

Simplify:

Explanation:

Distribute the outer term through both of the inner terms.

Simplify the terms.

### Example Question #602 : Ged Math

Solve the equation:

Explanation:

Multiply both sides by .

Divide by negative seven on both sides.

### Example Question #50 : Simplifying, Distributing, And Factoring

Simplify the following fraction:

Explanation:

Start by factoring the numerator.

Notice that each term in the numerator has an , so we can factor that out.

Now, factor the expression within the parentheses.

Now, factor the denominator. Notice that each term in the denominator also has an , so we can factor that out too.

Next, factor the expression within the parentheses.

Rewrite the fraction using the factored forms of both numerator and denominator.

Since the numerator and denominator both have the terms  and , those will cancel out, leaving us with the following:

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