# TEST ON LINE

### Section:  Algebra

1   Integer numbers: general information

Definition, comparison, graphical representation

Number of questions: 20
Theshold: 75%
Maximum time: 20 minuti
2   Integers: operations

Algebraic addition, multiplication and division operations between integers

Number of questions: 20
Theshold: 75%
Maximum time: 20 minuti
3   Operations on the set of rational numbers Q

Algebraic addition, multiplication, division and comparison of fractions.

Number of questions: 15
Theshold: 70%
Maximum time: 20 minuti
4   Properties of Base Level potencies

Operations with powers, powers with the same base, powers with the same exponent, powers with negative exponent

Number of questions: 20
Theshold: 80%
Maximum time: 20 minuti
5   Properties of potencies

Operations with powers, powers with the same base, powers with the same exponent, powers with negative exponent

Number of questions: 20
Theshold: 80%
Maximum time: 20 minuti
6   Properties of Advanced Level potencies

Operations with powers, powers with the same base, powers with the same exponent, powers with negative exponents, powers with fractional exponents

Number of questions: 20
Theshold: 80%
Maximum time: 20 minuti
7   Monomial

Definitions, nomenclature, rank, operations

Number of questions: 20
Theshold: 80%
Maximum time: 20 minuti
8   Polynomials

Absolute degree and degree relative to a letter. Homogeneous, ordered polynomial in normal form. Algebraic sum and product

Number of questions: 20
Theshold: 80%
Maximum time: 20 minuti
9   Turning sentences into expressions

From common language to mathematical language.

From mathematical language to common language.

Number of questions: 20
Theshold: 75%
Maximum time: 20 minuti
10   Remarkable products

Sum by difference, square and cube of a binomial, square of a trinomial

Number of questions: 20
Theshold: 80%
Maximum time: 20 minuti
11   Division between Polynomials

Rule of Change

Ruffini's theorem and rule

Number of questions: 15
Theshold: 75%
Maximum time: 25 minuti
12   Polynomial decomposition

Total collection, partial collection, difference of squares, square of binomial

Number of questions: 20
Theshold: 75%
Maximum time: 20 minuti
13   Decomposing Polynomials Hard

Reducible and irreducible polynomials, total and partial recollection. Difference of squares. Square of a binomial and a trinomial. Sum and difference of cubes

Number of questions: 20
Theshold: 80%
Maximum time: 12 minuti
14   m.c.m. and M.C.D. between monomials and polynomials

Definitions and calculation

Number of questions: 20
Theshold: 80%
Maximum time: 20 minuti
15   Algebraic fractions

Definition, properties , and simple operations

Number of questions: 20
Theshold: 75%
Maximum time: 20 minuti
16   Immediate I degree equations with Theory

Solving simple equations of first degree
Theoretical questions about equations of first degree

Number of questions: 20
Theshold: 80%
Maximum time: 20 minuti
17   Immediate I degree equations

Solving simple first degree equations

Number of questions: 20
Theshold: 80%
Maximum time: 20 minuti
18   Literal first degree equations

Simple literal equations to discuss and solve

Number of questions: 20
Theshold: 75%
Maximum time: 20 minuti
19   Fractional first degree equations

Range of existence and solutions of fractional equations

Number of questions: 15
Theshold: 70%
Maximum time: 20 minuti
20   Equations: inverse formulas I

Deriving the variables present in the equations by applying the two principles of equivalence.

Number of questions: 15
Theshold: 70%
Maximum time: 20 minuti
21   Equations: Inverse Formulas II

Deriving the variables present in the equations with the application of exponentiation and root extraction

Number of questions: 15
Theshold: 70%
Maximum time: 20 minuti
22   Literal first degree fractional equations

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.

Number of questions: 10
Theshold: 75%
Maximum time: 30 minuti
23   Linear equations and problems

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"

Number of questions: 20
Theshold: 75%
Maximum time: 30 minuti
24   Systems of linear equations

Numerical systems of two equations in two unknowns.

Representation on the Cartesian plane

Number of questions: 15
Theshold: 75%
Maximum time: 20 minuti
25   First degree inequalities

Collection of questions on Integer First Degree Inequalities

Number of questions: 20
Theshold: 80%
Maximum time: 20 minuti
26   Systems of inequalities

Systems of inequalities of first degree or referable to first degree

Number of questions: 15
Theshold: 75%
Maximum time: 20 minuti
27   Product/fractional inequalities

Solving product and fractional inequalities.

Number of questions: 15
Theshold: 75%
Maximum time: 30 minuti

Terminology, properties of arithmetic and algebraic radicals. Operations: simplification, reduction to the same index, product and ratio, power and root.

Number of questions: 20
Theshold: 80%
Maximum time: 20 minuti
29
Number of questions: 15
Theshold: 70%
Maximum time: 20 minuti
30   Second degree equations

Large collection of questions on Equations of a Second

Number of questions: 15
Theshold: 70%
Maximum time: 20 minuti
31   Second degree inequalities

Large collection of questions on Integer or Fractional Second Degree Inequalities

Number of questions: 15
Theshold: 70%
Maximum time: 20 minuti
32   Irrational inequalities

Irrational inequalities with square and cube roots

Number of questions: 15
Theshold: 70%
Maximum time: 20 minuti
33   Equations in Absolute Value

Immediate absolute value equations

Number of questions: 15
Theshold: 80%
Maximum time: 20 minuti
34   Inequalities in absolute value

Immediate inequalities in absolute value

Number of questions: 15
Theshold: 75%
Maximum time: 20 minuti
35   Algebraic equations and inequalities: summary. Difficult

Immediate equations of I and II degree, irrational, in absolute value.

Number of questions: 15
Theshold: 70%
Maximum time: 30 minuti
36   Immediate Equations and Inequalities

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

Number of questions: 15
Theshold: 70%
Maximum time: 20 minuti