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