Sem 1 exam Algebra 2 terms Flashcards
Integers
-3, -2, -1, 0, 1, 2, 3, 4
Rational
Can be expressed as a/b where a and b are integers
Whole number
0, 1, 2, 3
Natural
1, 2, 3
Commutative
X+y=y+x
Associative
(X+y)+z=x+(y+z)
Distributive
X(y+z)=xy+xz
Additive inverse
-a
Additive identity is 0
Multiplicative inverse
1/a
Multiplicative identity is 1
Reflexive
A=a
Symmetric
If a=b, then b=a
Transitive
If a=b and b=c, then a=c
Consistent
A system has at least one solution
Independent
A system has exactly one solution
Dependent
A system had an infinite number of solutions
Inconsistent
A system has no solutions
Vertex
Verrtex = -b/2(a)
Maximum/minimum
Plug vertex back into equation
Completing the square
(1/2 x b/a)^2
Polynomial
all coefficients are real numbers
All exponents are nonnegative integers