Summary (Grade 12 NSC Matric Mathematics): Flashcards

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What are algebraic expressions?

Mathematical statements with variables, numbers, and operations

Define like terms

Terms with exactly the same variable parts

Distributive law formula

(a+b)(c+d)=ac+ad+bc+bd(a + b)(c + d) = ac + ad + bc + bd

What does factorising mean?

Writing an expression as a product of its factors

Difference of squares formula

a2−b2=(a−b)(a+b)a^2 - b^2 = (a - b)(a + b)

What are trinomials?

Expressions with three terms

Quadratic formula

x=−b±b2−4ac2ax = \frac{-b ± \sqrt{b^2-4ac}}{2a}

What are simultaneous equations?

Systems of equations solved together to find satisfying values

Discriminant formula

Δ=b2−4ac\Delta = b^2 - 4ac

Nature of roots when Δ>0\Delta > 0

Two distinct real roots

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