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Semester 1 final

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
        Help!  

Question
Answer
Natural Numbers   Counting numbers(1,2,3,4)  
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Whole Numbers   Add Zero  
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Integer Numbers   Adding negatives  
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Rational Numbers   Add Fractions  
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Irrational Numbers   Radicals  
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Real Numbers   Any number  
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Opposite(Additive Inverse)   Number add to original number to equal zero  
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Reciprocals( Multiplicative Inverse)   Get 1 for an answer  
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Closure Property   A+b is a real #, ab is a real #  
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Commutative Property   a+b= b+a  
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Associative Property   (a+b) + c= a + (b+c), (ab)c= a(bc)  
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Identity Property   a+ 0 =a, a* 1= 1  
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Inverse Property   a+(-a)=0, a*1/a= 1  
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Distributive Property   a(b+c)= ab+ac  
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Relation   Set of pairs of input and output values  
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Domain   Set of all inputs(x-values)  
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Range   Set of all outputs(y-values)  
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Function   Relation which each input has exactly one output  
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Vertical Line Test   If a vertical line passes through 2 or more points on a graph then the relation is not a function  
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Linear Equation   First degree equation  
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Linear Function   Function graph is in a line  
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Slope- Intercept Form   y=mx+b  
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Point- Slope Form   y-y1=m(x-x1)  
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Standard Form   Ax+By=c  
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X intercept   y=0  
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Y intercept   x=0  
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Hoy   Horizontal, 0 slope, equation is y=#  
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Vux   Vertical, undefined slope, equation is x=#  
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Independent Solution   Has one solution  
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Dependent Solution   Infinite Solutions  
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Inconsistent Solution   No solution  
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Same slope, same y int.   Dependent  
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Same slopes, diff y int.   Inconsistent  
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Different slopes, different y int.   Independent  
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Substitution   Solve 1 equation for 1 of variables. Substitute equation into other equation and solve. Substitute answer into one of the original equations.  
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Elimination Method   Line up variables and constants. Make coefficients of 1 variables opposites by multiplying entire equation by something. Add 2 equations together. Solve for left over variable. Substitute.  
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Elimination with 3 Equations   Use 2 equations to eliminate 1 variable. Use 2 other equations the same variable. Use 2 new equations with 2 variables to solve like before.  
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Sin   Opposite/Hypotenuse  
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Cos   Adjacent/Hypotenuse  
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Tan   Opposite/Adjacent  
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Csc   Hypotenuse/Opposite  
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Sec   Hypotenuse/Adjacent  
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Cot   Adjacent/opposite  
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Zero Matrix   All elements equal 0(Identity property of addition)  
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Opposite Matrix   Added to original Inverse Property of Addition  
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Equal Matrices   Matrices with same dimensions and equal corresponding elements, when simplified  
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Quadratic Function(Standard Form)   f(x)= ax^2+bx+c  
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Parabola   Graph of quadratic.  
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Axis of Symmetry   Vertical line that divides a parabola into 2 parts mirror images  
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Vertex   point parabola intersects axis of symmetry  
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Y-Coordinate   is either the min. or max. of the function  
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Vertex Form   y=a(x-h)^2 +K  
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The Discriminant   Equation in form ax^2+bx+c=0 value of b2-4ac  
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Created by: tatummilo333
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