Ok so I\'ve just started Geometry, and right before the 1st unit test, there is

Question

Ok so I've just started Geometry, and right before the 1st unit test, there is several algebra review lessons. I'm totally blanking on how to do these problems! (x^2 is an exponent, and 1/2 is a fraction, for some reason it wouldn't let me enter exponents)

#1

Q: Name the property from algebra that applies to each step listed in solving the equations: 

Solve: 2(x + 3) = 8

A: 

2x + 6 = 8: the __________ postulate

2x = 2: the __________ property of equality (subtraction, multiplication, addition, division)

x = 1: the _________ property of equality (same as above)

#2

Q: Solve: x(x + 4) = x(x + 2) + 1

A:

x^2 + 4x = x^2 + 

x^2 + 4x = x^2  + 1: the _________ postulate

4x = 2x + 1: the ________ property of equality

2x = 1: the __________ property of equality

x = 1/2: the __________ property of equality

#3

Q: Solve: x^2 + 6x + 2x + 12 = 0

A:

x(x + 6) + 2(x + 6) = 0: the ________ postulate

(x + 2)(x + 6) = 0: the _________ property of equality

x + 2 = 0 or x + 6 = 0: the _________ product property

x = -2 or x = -6: the ________ property of equality

If you could give me some help on how to work these problems out, I'd love you forever!! And if you CAN work a few of them out just so I'd have some examples, that'd be great too(: but either of those would be amazing!!

Explanation / Answer

WAY too many questions for 20 points... Here's a link to help with the properties: http://hotmath.com/hotmath_help/topics/properties-of-equality.html

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