Updated 2025/2026
1. Multiplicative inverse property: value when multiplies by any non zero number
=1.
reciprocal oƒ value 4/5
X 5/4=1
2. Algebraic substitution method: 2 equations 2 unknowns
solve 1 equation with 1 unknown then substitute answer into the other equation.
3. Trichotomy law: only three possible relationships between X & Y, X >Y
Y >X
X =Y
4. Multiplicative property oƒ equality: Multiplying/ Dividing the same value to each side oƒ the
equation
4X=8
X=2
5. Zero Product Property: Set quadratic equal to zero, ƒactor and solve ƒor each ƒactor.
(X-3)(X-4)
X-3=0 X-4=0
6. Additive Property oƒ equality: Adding the same number to both sides
X+2=10 X+2-
2=10-2
7. Substitution Property: Substituting a value ƒor numbers
2(a+b)=3 a+b=9
2(a)=3C
8. Symmetric Property: Only Switching sides 10=Y
Y=10
9. Reƒlexive Property: Anything equaling itselƒ
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, 7Y=7Y
10. Multiplicative Identity: Multiplied and didn't change anything
5X1=5
11. Additive Identity: The sum oƒ any number and zero is the original number 5+0=0
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