Information
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Audit Title
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Document No.
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Client / Site
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Conducted on
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Prepared by
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Location
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Personnel
Pronumerals and Index Law
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Simplifying terms, Descending Order and Alphabetical Order
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Understanding the difference between variable and constant
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Finding the coefficient and degree of each term
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Applying Index Law and finding the leading term / Understanding the significance of the leading term
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Substituting numbers and finding values (quick calculation with no mistake)
Expansion of brackets
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Expanding brackets using distributive law
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Expanding two brackets-Accuracy
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Expanding brackets without missing negative errors (e.g) -(2x-3) = -2x-3 (wrong)
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Expanding two brackets-Speed
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Expanding brackets based on the order of precedence
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Expanding Square-Accuracy
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Expanding Square-Speed
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Expanding the difference of squares-Accuracy
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Expanding the difference of squares-Speed
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Cube of a bracket-Accuracy
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Cube of a bracket-Speed
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Sum and difference of cubes-Accuracy
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Sum and difference of cubes-Speed
Factorization
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Finding the highest common factor of terms
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Factorization - Common Factor
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Factorization - Quadratic Expression(Accuracy)
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Factorization - Quadratic Expression(Speed)
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Factorization - Quadratic Expression:Square of a bracket(Accuracy)
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Factorization - Quadratic Expression:Square of a bracket(Speed)
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Factorization - Quadratic Expression:The difference of squares(Accuracy)
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Factorization - Quadratic Expression:The difference of squares(Speed)
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Factorization - Quadratic Expression:The difference of squares-Higher degree(Accuracy)
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Factorization - Cubic Expression:The sum and difference of cubes(Accuracy)
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Factorization - Cubic Expression:The sum and difference of cubes(Speed)
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Factorization - Mixture <Common Factor + Others> (Accuracy)
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Factorization - Mixture <Common Factor + Others> (Speed)
Algebraic Fractions
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Understanding operations of fractions
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Finding the lowest common denominator
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Multiple fractions to one fraction-Addition (Accuracy)
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Multiple fractions to one fraction-Addition (Speed)
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One fraction to multiple fractions
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Simplification of algebraic fractions - Multiplication and Division (Accuracy)
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Simplification of algebraic fractions - Multiplication and Division (Speed)
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Simplifying compound fractions
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Decomposing algebraic fractions
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No logical mistakes in fractions
Solving Equations
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Understanding two types of equations - Identity and conditional equations
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Methods of maintaining equations true with operations
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Solving linear equations (Accuracy,efficiency and speed)
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Representing a letter in terms of other constants and variables
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Eliminating a parameter in equations
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Solving quadratic equations by factorization (Accuracy)
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Solving quadratic equations by factorization (Speed)
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Solving quadratic equations by completing square (Accuracy)
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Solving quadratic equations by completing square (Speed)
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Solving quadratic equations by substitution (Accuracy)
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Solving quadratic equations by substitution (Quick decision making and speed)
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Solving simultaneous linear equations
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Solving simultaneous equations ( Substitution Method )
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Applications - Words Questions
Solving inequations
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Representing numbers and intervals on the number line
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Understanding and applying The effect of multiplying a negative number on both sides
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Solving linear inequality (Accuracy and speed)
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Solving simultaneous linear inequality and representing your answer on the number line
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Solving quadratic inequality (Accuracy and quick decision making)
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Applications - Words Questions
Surds
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Finding values of x for which surds are defined
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Simplifying sqrt(f(x)^2) in the given interval
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Rationalizing algebraic functions including surds
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Expanding and simplifying brackets including surds
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Expressing surds to index form
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Expressing indices form to surd form
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Understanding negative index form ( Index to surd, surd to index )
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(Harder) Modifying numbers and surds (e.g) 8x^3=(2x)^3
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Solving equations including surds
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Solving inequalities including surds
Absolute values
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Understanding absolute values
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Simplifying absolute value expressions in the given interval
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Solving equations including absolute values
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Solving inequalities including absolute values and representing your solution on the number line
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Solving harder questions of absolute values - Answer of equations or inequalities given and finding constants