Karteikarten
Chapter 1
Karten in diesem Stapel (12)
- 1Properties of Equality1. A=B if A+C=B+C
2. A=B if AC=BC when C=/=0 - 2Solving Power Equations-of the form x^n=a
-has real solutions of x=n√a if n is odd
x=+-n√a if n is even - 3Modeling With EquationsStrategy:
1. Identify variable
2. Translate words to algebra
3. Solve equations, check answer - 4Quadratic EquationsIs of the form ax^2+bx+c=0 where a, b, c include all real numbers
- 5Solving Quadratics1. Factoring
2. Complete the square
3. Quadratic formula - 6Quadratic Equationx=(-b+-√b^2-4ac)/2a
- 7The Discriminantfor ax^2+bx+c=0
-if D>0, equation has 2 real solutions
-if D=0, equation has 1 real solution
-if D<0, equation has no real solutions - 8ii=√-1
i^2=-1
i^3=-i
i^4=1 - 9Square Roots of Negative Numbersif -r is negative, its principal square root is
√-r=i√r
x^2=-r
x=+-i√r - 10Properties of Inequalities1. If A0, then ACBC
4. If A0, then 1/A>1/B - 11Solving Nonlinear Inequalities1. Move all terms to one side
2. Factor
3. Find intervals (values that make the expression=0)
4. Make table/graph using intervals
5. Test points in each interval - 12Properties of Absolute Values and Inequalities1. |x|=c = x=+-c
2. |x|c = x>c or x<-c
Informationen
- Beschreibung
- College Math 110 Karteikarten am Chapter 1, erstellt von Erin Mooney am 06/07/2015.
- Erstellt von
- Erin Mooney
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