Simplifying - ACT Math

Card 0 of 5

Question

Solve for x when 6x – 4 = 2x + 5

Answer

Solve by simplifying:

6x – 4 = 2x + 5

6x = 2x + 9

4x = 9

x = 9/4

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Question

What is the value of the following equation if and ?

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

Answer

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

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

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

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Question

Simplify the following binomial:

$4x^2 + 16x - 4 - 2x^{2}$

Answer

The equation that is presented is:

$4x^2 + 16x - 4 - 2x^{2}$

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.

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Question

Simplify the following binomial:

$17x^{2} - 15x + 3x^{2 }+10x$

Answer

The equation presented in the problem is:

$17x^{2} - 15x + 3x^{2 }+10x$

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

Then, you can factor out the common to get your answer

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Question

Simplify the following binomial expression:

Answer

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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