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Solve for x: 2x - 2 > 4x + 6
x < -4
x > -4
x < 4
x > 4
Simplify the following expression.
5x - 6y + 5z - x - 12y + 2z
6x - 18y + 7z
4x - 18y + 7z
4x - 6y + 7z
6x - 6y + 7z
6 + x + y = x + 6 + y is an example of which algebraic property?
Distributive Property
Associative Property of Addition
Commutative Property of Addition
Symmetric Property

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- anonymous

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- anonymous

i thinks its a d b

- mathstudent55

Let's wotk on the first one.
2x - 2 > 4x + 6
You work on a inequality like you work on an equation with one exception.
Just as with an equation, you can add the same number to both sides or subtract the same number from both sides.
You can also multiply both sides or divide both sides by the same _positive_ number.
The difference between an inequality and an equation is that when you multiply or divide both sides of an inequality by a _negative_ number, the inequality sign changes direction.

- mathstudent55

To start solving this inequality, let's add 2 to both sides
2x - 2 > 4x + 6
+2 +2
--------------
2x > 4x + 8
Do you follow so far?

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- anonymous

yes

- mathstudent55

Now we have
2x > 4x + 8
Now we need to get all terms with x to teh left side, so we'll subtract 4x from both sides
2x > 4x + 8
-4x -4x
-----------
-2x > 8
Now we need to divide both sides by -2. here's where you need to be careful with an inequality because when you divide both sides of an inequality by a negative number, the inequality sign changes direction.
-2x 8
--- < ---
-2 -2
x < -4
That's the answer

- anonymous

#2
5x - 6y + 5z - x - 12y + 2z
first thing u do is add or subtract all the x,y,and z's
5x - 6y + 5z - x - 12y + 2z
+x +12 -2 +x +12 -2

- mathstudent55

Answer is a, which is what you got. Good job!

- anonymous

okay so for number 2

- mathstudent55

In the second question, you need to combine like terms. Like terms have the same variable part.
5x - 6y + 5z - x - 12y + 2z
5x - x - 6y - 12y + 5z + 2z
4x - 18y + 7z
Here the answer is b

- anonymous

okay thanks i was a lil confused on that one. okay and for number 3 i pretty much guessed

- mathstudent55

The last question deals with a property.
The commutative property of additon is: a + b = b + a
That means you can change the order of an addition.
That's what is happening in this question.
6 + x + y = x + 6 + y
The only thing that changed from the left side to the right side is 6 + x became x + 6

- anonymous

oh so i was right ?

- mathstudent55

Commutative is c. You had d.

- anonymous

oh sorry i meant to say c. my baaad

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