ACT Math : How to simplify binomials

Study concepts, example questions & explanations for ACT Math

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Example Questions

Example Question #1 : How To Simplify Binomials

Solve for x when 6x – 4 = 2x + 5

 

Possible Answers:

9/4

0

1/4

3

Correct answer:

9/4

Explanation:

Solve by simplifying:

         6x – 4 = 2x + 5

         6x = 2x + 9

         4x = 9

         x = 9/4

 

 

Example Question #2 : How To Simplify Binomials

What is the value of the following equation if  and ?

\small 2t^2+4vt+2v^2

Possible Answers:

Correct answer:

Explanation:

Substitute the numbers 3 and –4 for t and v, respectively.

\small 2(3)^2+4(-4)(3)+2(-4)^2

\small 18+(-48)+32=2

Example Question #2 : Simplifying

Simplify the following binomial:

Possible Answers:

Correct answer:

Explanation:

The equation that is presented is:

To get the correct answer, you first need to combine all of the like terms. So, you can subtract the  from the , leaving you with:

From there, you can reduce the numbers by their greatest common denominator, in this case, :

Then you have arrived at your final answer.

Example Question #3 : Simplifying

Simplify the following binomial:

Possible Answers:

Correct answer:

Explanation:

The equation presented in the problem is:

First you have to combine the like terms, i.e. combining all instances of  and :

Then, you must reduce to find your answer:

Example Question #4 : Simplifying

Simplify the following binomial expression:

Possible Answers:

Correct answer:

Explanation:

First, combine all of the like terms that you are able:

Then, reduce by the greatest common denominator (in this case, ):

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