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Algebra Formulas. 1. Set identities. Definitions: I: Universal set A’: Complement. Empty set: ∅. Union of sets. A ∪ B = { x | x ∈ A or x ∈ B } Intersection of sets. A ∩ B = { x | x ∈ A and x ∈ B } Complement. A ′ = { x ∈ I | x ∈ A } Difference of sets. B \ A = { x | x ∈ B and x ∉ A } Cartesian product. × B = { ( x , y ) | x ∈ A and y ∈. }
x3 + a3 = (x + a) x2 ax + a2. x3 a3 = (x a) x2 + ax + a2. x2n a2n = (xn an) (xn + an) If n is odd then, xn an = (x a) xn 1 + axn 2. b2 4ac 2a If b2 4ac > 0 – Two real unequal solns. If b2 4ac = 0 – Repeated real solution. If b2 4ac < 0 – Two complex solutions.
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.
6 Σεπ 2022 · Here, we’ll list all the significant algebraic formulas. The extensive list will make it possible for the students to look over it quickly before tests or to refer to it at any time they like. Important Algebra Formulas (List of all Algebraic Identities)
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Part 1 presents mathematical formulas together with other material, such as definitions, theorems, graphs, diagrams, etc., essential for proper understanding and application of the formulas.
2.6 Introduction to Algebra: Variables and Expressions. 2.6 OBJECTIVES. Represent addition, subtraction, multiplication, and division by using the symbols of algebra. Identify algebraic expressions. In arithmetic, you learned how to do calculations with numbers by using the basic opera-tions of addition, subtraction, multiplication, and division.
