anonymous
  • anonymous
*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
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
i thinks its a d b
mathstudent55
  • 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
  • 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
  • anonymous
yes
mathstudent55
  • 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
  • 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
  • mathstudent55
Answer is a, which is what you got. Good job!
anonymous
  • anonymous
okay so for number 2
mathstudent55
  • 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
  • anonymous
okay thanks i was a lil confused on that one. okay and for number 3 i pretty much guessed
mathstudent55
  • 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
  • anonymous
oh so i was right ?
mathstudent55
  • mathstudent55
Commutative is c. You had d.
anonymous
  • anonymous
oh sorry i meant to say c. my baaad

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