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Mean: Average. Median: Middle (put numbers in order and find middle) Mode: “Most” (number that appears the most) Q1: Quartile 1=Median of first half of data Q2: Quartile 2=Median of all data. Q3: Quartile 3=Median of second half of data.
Basic Algebra 0.1 The Laws of Algebra Terminology and Notation. In this section we review the notations used in algebra. Some are peculiar to this book. For example the notation A:= B indicates that the equality holds by de nition of the notations involved. Two other notations which will become important when we solve equations are =) and ().
a 1. n = n a. Special Products. (a + b)2 = a2 + 2ab + b2. (a − b)2 = a2 − 2ab + b2. (a + b)(a − b) = a2 − b2. (a + b)3 = (a + b)(a2 − ab + b2) (a − b)3 = (a − b)(a2 + ab + b2) Variation. Direct: y = kx. k. Inverse: y = x. Joint: y = kxz. Linear Functions. Intercept Eq. y = mx + b y2 − y1. Sl. pe m = x2 − x1 − 3. Point-S. op.
Standard Form (Linear) 𝑨𝒙+ 𝑩𝒚= 𝑪 Point-Slope Formula 𝒚−𝒚𝟏= 𝒎(𝒙−𝒙𝟏) Slope-Intercept Form 𝒚= 𝒎𝒙+ 𝒃 Slope Formula 𝒎= 𝒚𝟐−𝒚𝟏 𝒙𝟐−𝒙𝟏 Distance Formula
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Graphing Inequalities in Two. Graph y = -1/2x + 1, but dot the line since the symbol is >. The points on the line are not solutions. Pick a point such as (0,0) and substitute it into the inequality. (0,0) is not a solution, therefore, shade the side of the line that does not contain (0,0).
Formula Sheet for Blitzer’s College Algebra. This formula sheet is intended as a resource for common algebra notation and symbols. This formula sheet is not intended as a comprehensive review of all theorems and procedures covered in the textbook.
