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30 Cards in this Set

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 Closure Property Addition: a + b is a real number. Mult: ab is a real number. Communtative Add: a + b= b + a Mult: ab= ba Associative Add: (a+b)+c = a+(b+c) Mult: (ab)c=a(bc) Identity Add: a+0=a, 0+a=a Mult: a*1=a, 1*a=a Inverse Add: a +(-a)=0 Mult: a*(1/a)=1, a never = 0 Distributive a(b=c)=ab+ac Order of Operations 1. Do operations that occur within grouping symbols. 2. Evaluate powers. 3. Do multiplications and divisions left to right. 4. Do additiond and subtractions fromleft to right. Distance Formula d=rt distance equals rate times time. Simple Interest I=Prt Interest equals principal rate times time Temperature F= 9/5C+ 32 Area of Triangle A=1/2bh Area equals 1/2 base times height Area of Rectangle A=lw Area equals length times width Perimeter of Rectangle P= 2l+2w Area of Trapezoid A= 1/2(b1+b2)h Area of Circle A= pie R squared Circumference of Circle C=2 pie R Slope M=(y2-y1)/ (x2-x1) rise over run Classification of lines by slope: parallel: same perpendicular: reciprocal Horizontal: 0 Vertical: Undefined Slope Intercept Form y= mx+b Point Slope Form y-y1= m(x-x2) Two Points m= (y2-y1)/ (x2-x1) Then y-y2= m(x-x2) Area of a Triangle Matrix Area= +- x1 y1 1 x2 y2 1 x3 y3 1 x1-3 and y1-3 given. Cramer's Rule 2X2 matrix 2X2: ax+by= e cx+dy= f det not equal 0, x= e b f d ___ det a y= a e c f ___ det a Cramer's Rule 3X3 ax+by+cz= j dx+ey+fz= k gX+hy+iz= l X= j b c k e f l h i over det a y= a j c d k f g l i over det a z= a b j d e k g h l over det a Quadratic Functions y= ax^2+bx+c X coordinate of vertex -b/ 2a Axis of symmetry Vertical line x= -b/2a Vertex Form of Quadratic Functions y=a(x-h)^2+k vetex= (h,k) Axis of symmetry x=h Intercept Form of Quadratic y= a(x-p)(x-q) X intercepts= p and q Axis of symm: halfway between (p,0) and (q,0) Complex Numbers Square root of -r = i square root of r i^2= -1 (i-/ r)^2= -r Completing the square ax^2+bx+c=0 1. Move constant to the right side of the equation 2. take 1/2 of b, square it, and add to both sides of the equation. 3. rewrite left side as binomial squared and simplify right side. 4. take square root of both sides. 5. solve for x and simplify.