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Part 1:
Identify the algebraic properties of equality that are represented.
1.
Given
If
, then 
The algebraic property of equality that is represented by the above expression is the multiplication property.
2.
Given
If, then 
The algebraic property of equality that is represented by the above expression is the subtraction property.
3.
Given
If a = b, then a can be substituted for b (or b for a) in any equation or expression.
The algebraic property of equality that is represented by the above expression is the substitution property.
4.
Given
If, then 
.
The algebraic property of equality that is represented by the above expression is the division property.
5.
Given
If, then 
The algebraic property of equality that is represented by the above expression is the addition property.
6.
Given
sum:
,
difference:
The algebraic property of equality that is represented by the above expression is the distributive property.
7.
Given
If a = b and b = c, then a = c. If AB = CD and CD = EF, then AB = EF. If m<A = m<B and m<B = m<C, then m<A = m<C.
The algebraic property of equality that are represented by the above expression is the transitive property.
8.
Given
If a = b, then b = a. If AB = CD, then CD = AB. If m<A = m<B, then m<B = m<A.
The algebraic property of equality that are represented by the above expression is the symmetric property.
9.
Given
a = a, AB = AB, m<A = m<A
The algebraic property of equality that are represented by the above expression is the refrexive property.
10.
Given
If x = y, then 6x = 6y.
The algebraic property of equality that are represented by the above expression is the multiplication property.
11.
Given
If AB = BC, then AB - 2 = BC - 2.
The algebraic property of equality that are represented by the above expression is the subtraction property.
12.
Given
m<A = m<A
The algebraic property of equality that are represented by the above expression is the refrexive property.
13.
Given
If AB = CD and CD = 6, then AB = 6
The algebraic property of equality that are represented by the above expression is the transitive property.
14.
Given
If a = b, then b = a.
The algebraic property of equality that are represented by the above expression is the symmetric property.
Identify the algebraic properties of equality that are represented.
1.
Given
If
The algebraic property of equality that is represented by the above expression is the multiplication property.
2.
Given
If
The algebraic property of equality that is represented by the above expression is the subtraction property.
3.
Given
If a = b, then a can be substituted for b (or b for a) in any equation or expression.
The algebraic property of equality that is represented by the above expression is the substitution property.
4.
Given
If
The algebraic property of equality that is represented by the above expression is the division property.
5.
Given
If
The algebraic property of equality that is represented by the above expression is the addition property.
6.
Given
sum:
difference:
The algebraic property of equality that is represented by the above expression is the distributive property.
7.
Given
If a = b and b = c, then a = c. If AB = CD and CD = EF, then AB = EF. If m<A = m<B and m<B = m<C, then m<A = m<C.
The algebraic property of equality that are represented by the above expression is the transitive property.
8.
Given
If a = b, then b = a. If AB = CD, then CD = AB. If m<A = m<B, then m<B = m<A.
The algebraic property of equality that are represented by the above expression is the symmetric property.
9.
Given
a = a, AB = AB, m<A = m<A
The algebraic property of equality that are represented by the above expression is the refrexive property.
10.
Given
If x = y, then 6x = 6y.
The algebraic property of equality that are represented by the above expression is the multiplication property.
11.
Given
If AB = BC, then AB - 2 = BC - 2.
The algebraic property of equality that are represented by the above expression is the subtraction property.
12.
Given
m<A = m<A
The algebraic property of equality that are represented by the above expression is the refrexive property.
13.
Given
If AB = CD and CD = 6, then AB = 6
The algebraic property of equality that are represented by the above expression is the transitive property.
14.
Given
If a = b, then b = a.
The algebraic property of equality that are represented by the above expression is the symmetric property.