WORK FORMULA: w=rt COMBINED WORK FORMULA: w = ( r 1 +r 2 )t MIDPOINT FORMULA: The midpoint of two coordinate points ( x 1, y 1 )and ( x 2, y 2 )is:ĭISTANCE FORMULA: Given two points, ( x 1, y 1 )and ( x 2, y 2 ), the distance between them is: = ( − ) + ( − ) Where m is the slope of the line, and b is the y-intercept of the line at point (0,b). SLOPE FORMULA: For points ( x 1, y 1 )and ( x 2, y 2 ), Square of a Difference: ( a − b ) 2 = a 2 − 2 ab +b 2. Square of a Sum: ( a + b ) 2 = a 2 + 2 ab +b 2. Difference of Squares: The product of the difference ( a −b )and the sum a +b is equal to a squared minus A polynomial has multiple elements added together such as + + + A binomial has two elements added together such as 4 x + 3 or + A monomial is a single product such as 4 x ,7 x 3, or 8n 2. One Solution Zero Solutions Infinite SolutionsĬompare slopes! Put both equations into y=mx+b form, and compare m’s (slopes) When solving down a system in the form ax+by=c and dx+fy=g using elimination or substitution:
How to evaluate the NUMBER of possible solutions:
ZERO PRODUCT PROPERTY: If ab=0, then a=0, b=0, or a=b=0.
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