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Section: Algebra
Definition, comparison, graphical representation
Algebraic addition, multiplication and division operations between integers
Algebraic addition, multiplication, division and comparison of fractions.
Operations with powers, powers with the same base, powers with the same exponent, powers with negative exponent
Operations with powers, powers with the same base, powers with the same exponent, powers with negative exponent
Operations with powers, powers with the same base, powers with the same exponent, powers with negative exponents, powers with fractional exponents
Definitions, nomenclature, rank, operations
Absolute degree and degree relative to a letter. Homogeneous, ordered polynomial in normal form. Algebraic sum and product
From common language to mathematical language.
From mathematical language to common language.
Sum by difference, square and cube of a binomial, square of a trinomial
Rule of Change
Ruffini's theorem and rule
Total collection, partial collection, difference of squares, square of binomial
Reducible and irreducible polynomials, total and partial recollection. Difference of squares. Square of a binomial and a trinomial. Sum and difference of cubes
Definitions and calculation
Definition, properties , and simple operations
Solving simple equations of first degree
Theoretical questions about equations of first degree
Solving simple first degree equations
Simple literal equations to discuss and solve
Range of existence and solutions of fractional equations
Deriving the variables present in the equations by applying the two principles of equivalence.
Deriving the variables present in the equations with the application of exponentiation and root extraction
The test is demanding
The questions include the discussion of the parameters in relation to the conditions of existence and the acceptability of the solutions.
Evaluation of the parameters for equations is also required: determinate, indeterminate, impossible.
Simple problems that can be solved with first degree equations.
Made as part of a Project "Palc - Enhancement of Reading and Calculation Skills". Action "Block A Co-planning"
Numerical systems of two equations in two unknowns.
Representation on the Cartesian plane
Collection of questions on Integer First Degree Inequalities
Systems of inequalities of first degree or referable to first degree
Solving product and fractional inequalities.
Terminology, properties of arithmetic and algebraic radicals. Operations: simplification, reduction to the same index, product and ratio, power and root.
Large collection of questions on Equations of a Second
Large collection of questions on Integer or Fractional Second Degree Inequalities
Irrational inequalities with square and cube roots
Immediate absolute value equations
Immediate inequalities in absolute value
Immediate equations of I and II degree, irrational, in absolute value.
Euations and Inequalities that can be solved without calculations only by thinking about the signs of the terms and of the inequality.
The following types of equations and inequalities are present:
- second degree or higher than second degree
- fractional or product
- in absolute value
- irrational