ACT Math : How to simplify binomials

Study concepts, example questions & explanations for ACT Math

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Example Questions

Example Question #1 :Simplifying

Solve for x when 6x – 4 = 2x + 5

Possible Answers:

1/4

0

3

9/4

Correct answer:

9/4

Explanation:

Solve by simplifying:

6 x - 4= 2x + 5

6x = 2x + 9

4x = 9

x = 9/4

Example Question #1 :How To Simplify Binomials

What is the value of the following equation ifand?

\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 #3 :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, 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 #4 :Simplifying

简化二项式表达式如下:

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,):

Example Question #5 :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 ofand:

Then, you can factor out the commonto get your answer

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