Properties
a(b + c) = ab + ac. What property is this?
Distributive Property
Identify the first property you would use in order to solve this equation:
15(x+8)=25
Distributive Property
Solve for x:
3x=57
x=19
When writing a proof you always start with which information?
If 2y + x = 7 and x = 25, then 2y + 25 = 7. What property is this?
Substitution Property
Identify the SECOND property of equality you would use in order to solve this problem:
13x+8x-9=25
Addition POE
Solve for x:
16x+7=55
x=3
What are the names of the two columns in a proof?
Statements and Reasons
If a = b, then ac = bc. What property of equality is this?
Multiplication POE
Identify the THIRD property of equality you would use in order to solve this problem:
-12x+8-27=-15x-8
Addition POE
Solve for x:
7x-8=5x+12
x=10
What is the last Statement in any proof?
The Prove Statement
If x = y and y = z, then x = z. Which property is this?
Transitive Property
Identify the last property of equality you would use in order to solve this problem:
2(4x-8)=15x+10
Division POE
Solve for x:
14+2(x - 7)=6x - 4
x=1
Do you have to write all of your Givens in one statement?
No
If a = b, then b = a. What property is this?
Symmetric Property
Identify the first property of equality you would use in order to solve this problem:
(13x+8)/15=200
Multiplication POE
Solve for x:
(-12x + 9)/3 =15
x = -3
True or False? Proofs should be less than 6 lines long?
False