Subiecte Mate Clasa 8 ^new^ Instant

Report on 8th Grade Mathematics Topics (Romanian Curriculum) 1. Algebra A. Algebraic Fractions

Simplifying algebraic fractions using factorization. Operations: addition, subtraction, multiplication, division. Determining the domain of definition (conditions where denominator ≠ 0).

B. Equations and Inequalities

Linear equations with one unknown (revision and more complex forms). Systems of linear equations with two unknowns: subiecte mate clasa 8

Solving methods: substitution, reduction, graphical.

Linear inequalities with one unknown (solving on (\mathbb{R})). Quadratic equations (introduction in the form (ax^2 + bx + c = 0)):

Solving using the formula (x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}). The discriminant (\Delta = b^2 - 4ac) and the nature of roots. Vieta’s formulas ((S = x_1 + x_2 = -\frac{b}{a}), (P = x_1 x_2 = \frac{c}{a})). Report on 8th Grade Mathematics Topics (Romanian Curriculum)

C. Functions

Linear function (f : \mathbb{R} \to \mathbb{R}), (f(x) = ax + b). Graphical representation (line). Determining the slope ((a)), intercept ((b)). Intersection with axes ((Ox), (Oy)). Monotonicity (increasing if (a > 0), decreasing if (a < 0)). Sign of the function.

D. Sets of Numbers

Rational numbers ((\mathbb{Q})) and irrational numbers ((\mathbb{R} \setminus \mathbb{Q})). Real numbers ((\mathbb{R})): approximation, ordering, operations. Intervals on the real axis (open, closed, semi-open).

2. Geometry A. Pythagorean Theorem and Its Converse