## mikaa_toxica13 2 years ago *help requested* *fan and medal awarded* 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

1. mikaa_toxica13

i thinks its a d b

2. 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.

3. 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?

4. mikaa_toxica13

yes

5. 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

6. Solmyr

#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

7. mathstudent55

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

8. mikaa_toxica13

okay so for number 2

9. 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

10. mikaa_toxica13

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

11. 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

12. mikaa_toxica13

oh so i was right ?

13. mathstudent55

Commutative is c. You had d.

14. mikaa_toxica13

oh sorry i meant to say c. my baaad