1.Multiplicative inverse property
ANS value when multiplies by any non zero number
=1.
reciprocal of
value 4/5 X
5/4=1
2.Algebraic substitution method
ANS 2 equations 2 unknowns
solve 1 equation with 1 unknown then substitute answer into the other
equation.
3.Trichotomy law
ANS only three possible relationships between X & Y, X >Y
Y
>X
X
=Y
4.Multiplicative property of equality
ANS Multiplying/ Dividing the same value to each side of the equation
4X=
1/
19
,8
X=2
5.Zero Product Property
ANS Set quadratic equal to zero, factor and solve for each factor.
(X-3)(X-4)
X-3=0 X-4=0
6.Additive Property of equality
ANS Adding the same number to both sides
X+2=10
X+2-
2=10-2
7.Substitution Property
ANS Substituting a value for numbers
2(a+b)=3
a+b=9 2(a)=3C
8.Symmetric Property
ANS Only Switching sides 10=Y
2/
19
, Y=10
9.Reflexive Property
ANS Anything equaling itself
7Y=7Y
10.Multiplicative Identity
ANS Multiplied and didn't change anything
5X1=5
11.Additive Identity
ANS The sum of any number and zero is the original number 5+0=0
12.Distributive Property
ANS Multiplying through a parenthesis
a(a+b)=ab+ac
13.Associative Property
ANS Regrouping
a+(b+c)= (a+b)+c
3/
19