GED Math : Single-Variable Algebra

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #41 : Simplifying, Distributing, And Factoring

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

Possible Answers:

 

 

Correct answer:

Explanation:

The area of a triangle is:  

Use the FOIL Method to simplify.

 

 

Example Question #42 : Simplifying, Distributing, And Factoring

Simplify 

Possible Answers:

Correct answer:

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:  

Possible Answers:

Correct answer:

Explanation:

Distribute the terms on both sides.

Add  on both sides.

Subtract 15 on both sides.

Divide by 13 on both sides.

The answer is:  

Example Question #44 : Simplifying, Distributing, And Factoring

Solve:  

Possible Answers:

Correct answer:

Explanation:

Simplify the right side.

Subtract  on both sides.

Divide both sides by 35.

The answer is:  

Example Question #591 : Ged Math

Simplify by distributing:

Possible Answers:

Correct answer:

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 #41 : Algebra

Simplify the following equation:   

Possible Answers:

Correct answer:

Explanation:

Add 24 on both sides of the equation.

Divide by 8 on both sides.

Reduce both fractions.

The answer is:  

Example Question #47 : Simplifying, Distributing, And Factoring

Factor:  

Possible Answers:

Correct answer:

Explanation:

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

The answer is:  

Example Question #601 : Ged Math

Simplify:  

Possible Answers:

Correct answer:

Explanation:

Distribute the outer term through both of the inner terms.

Simplify the terms.

The answer is:  

Example Question #602 : Ged Math

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Multiply both sides by .

Divide by negative seven on both sides.

The answer is:  

Example Question #50 : Simplifying, Distributing, And Factoring

Simplify the following fraction:

Possible Answers:

Correct answer:

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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