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Foundational Sciences

Class 6-10

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2155

Concepts

Physics, chemistry, biology, and earth science concepts that are the direct prerequisites for every applied science and technology domain.

What is a Logarithmic Property (log_b(xy) = log_b(x) + log_b(y))?

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What is a Contradiction (No Solution Equation)?

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What is a Conditional Equation?

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What is an Identity (True for All Values)?

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What is the Maximum/Minimum Value of a Quadratic Function?

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What is the Standard Form of a Quadratic Equation (ax²+bx+c=0)?

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What is the Intercept Form of a Quadratic Equation (y = a(x-p)(x-q))?

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What is the Vertex Form of a Quadratic Equation (y = a(x-h)² + k)?

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What is the Discriminant's Role in Graphing Quadratics?

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What is a System of Equations with Coincident Lines (Infinite Solutions)?

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What is a System of Equations with Parallel Lines (No Solution)?

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What is the Graphical Method for Finding Solutions to Systems?

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What is Modelling Word Problems with Linear Equations?

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What is Solving Equations with Fractional Coefficients?

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What is Solving Equations with Variables on Both Sides?

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What is Solving Linear Equations by Inspection?

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What is the Least Common Denominator (LCD) of Rational Expressions?

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What is an Equivalent Rational Expression?

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What is the Least Common Multiple (LCM) of Polynomials?

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What is the Greatest Common Divisor (GCD) of Polynomials?

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What is the Factorisation of Sum/Difference of Odd Powers?

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What is a Factorisation by Trial and Error?

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What is the Division Algorithm for Polynomials?

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What is the Relationship between Zeroes and Coefficients of a Cubic Polynomial?

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What is the Zeroes of a Polynomial by Factorisation?

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What is the Absolute Term of a Polynomial?

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What is the Co-efficient of the Leading Term?

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What is the Standard Form of a Polynomial in Multiple Variables?

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What is the Standard Form of a Polynomial in One Variable?

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What is an Equation with Two Variables (General Form)?

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What are Excluded Values for Rational Expressions?

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What is an Equation with Absolute Values?

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What is an Irrational Equation?

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What is the Conjugate of a Binomial Surd?

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What is a Mixed Quadratic Surd?

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What is a Pure Quadratic Surd?

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What is the Comparison of Surds (Magnitude)?

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What is the Power Rule of Exponents for Multiple Powers?

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What is the Quotient Rule of Exponents for Multiple Bases?

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What is the Product Rule of Exponents for Multiple Bases?

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What is a Rational Inequality?

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What is an Exponential Inequality?

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What is a Logarithmic Inequality?

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What is the Graphical Solution of a Single Linear Inequality?

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What is a Non-Strict Inequality?

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What is a Strict Inequality?

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What are the Rules for Manipulating Inequalities?

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What is the Identity (x+y+z)(x²+y²+z²-xy-yz-zx) = x³+y³+z³-3xyz?

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What is Solving Polynomial Equations by Factorisation?

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What is Solving Biquadratic Equations?

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