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Mathematics 21 Online
OpenStudy (anonymous):

Select True or False. The expression 4x − 2(5x − 1) is equivalent to the expression 2 + 6x. True False

OpenStudy (anonymous):

To figure this out, you need to distribute the 2 in the first equation and solve for any like terms. Once you solve the first equation, compare it with the second one and see if they are equivalent.

OpenStudy (anonymous):

idk how to do that

OpenStudy (anonymous):

To distribute the 2, multiply 5x times 2 and -1 times 2. Then you will get 4x - 10x - 2. Then you combine like terms: 4x - 10x= -6x, so your equation becomes -6x - 2.

OpenStudy (anonymous):

So that means the first expression is equivalent?

OpenStudy (anonymous):

Well both the 2 and 6x are negative in the first expression and positive in the second, so what do you think?

OpenStudy (anonymous):

No?

OpenStudy (anonymous):

No, I don't think they are equivalent.

OpenStudy (anonymous):

you were right thank you

OpenStudy (anonymous):

can you help me with another

OpenStudy (anonymous):

Simplify negative 6 over 3 divided by 2 over negative 9. 9 11 12 18

OpenStudy (anonymous):

so you mean (-6/3)/(2/-9) ?

OpenStudy (anonymous):

When dividing a fraction by another fraction, you invert the second one (switch the numerator and denominator) and multiply. So it becomes (-6/3) x (-9/2)

OpenStudy (anonymous):

Then you multiply the -6 times -9 = 54 and 3 times 2 = 6. So then you have 54/6, which reduces to become 9.

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