GED Math : Single-Variable Algebra

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #21 : Simplifying, Distributing, And Factoring

Simplify completely:

Possible Answers:

Correct answer:

Explanation:

Example Question #21 : Simplifying, Distributing, And Factoring

Subtract   from .

Possible Answers:

Correct answer:

Explanation:

Example Question #571 : Ged Math

Add  to .

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Correct answer:

Explanation:

Example Question #24 : Algebra

Factor completely:

Possible Answers:

Correct answer:

Explanation:

First, factor out the greatest common factor of the terms, which is :

The quadratic trinomial can be factored as  where  and ; by trial and error we find that the numbers chosen are , so

Example Question #25 : Algebra

Simplify:

Possible Answers:

Correct answer:

Explanation:

Apply the power of a quotient rule:

Example Question #23 : Algebra

Factor completely:

Possible Answers:

Correct answer:

Explanation:

 is a common factor of both terms, so factor it out:

 cannot be factored, so this is the complete factorization.

Example Question #27 : Algebra

Factor completely:

Possible Answers:

Correct answer:

Explanation:

First, we find two integers whose sum is 19 and whose product is . Through trial and error we find these integers are 3 and 16. We use these numbers to split the middle term, then we factor using the grouping method:

Example Question #581 : Ged Math

Factor completely:

Possible Answers:

Correct answer:

Explanation:

Factor by grouping as follows:

Example Question #581 : Ged Math

Factor completely:

Possible Answers:

Correct answer:

Explanation:

Factor by grouping as follows:

The first factor is the difference of squares, so further factoring can be done:

Example Question #30 : Algebra

Factor completely: 

Possible Answers:

Correct answer:

Explanation:

The polynomial fits the perfect square pattern:

This can be factored using the pattern

with :

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