Interactive math exercises — grade 9 semester 2

0
Grade 9

An interactive book covering grade 9 math skills: exponents and monomials, polynomials and factoring, quadratic equations and functions, radicals, the Pythagorean theorem and trigonometric ratios, and statistics and probability — with graded exercises, hints and step-by-step solutions.

𝑥
Identifying monomials
×
Product of powers
^
Power of a power
( )
Power of a product
Simplifying expressions
÷
Quotient of powers
Power of a quotient
Zero exponent
Negative exponents
Classifying polynomials
Standard form
+
Adding polynomials
±
Subtracting polynomials
Monomial × polynomial
Multiplying binomials
Multiplying polynomials
²
Square of a sum
−²
Square of a difference
Sum × difference
Factoring monomials
Greatest common factor
🔧
Factoring out the GCF
{}
Factoring by grouping
0
Zero product property
(س)
Factoring trinomials
=
Solving quadratic equations
أس²
Factoring ax² + bx + c
P
Prime polynomials
□−□
Difference of squares
××
Factoring more than once
Combining factoring methods
□²
Perfect square trinomials
Square root property
Quadratic functions
Parabola properties
▲▼
Maximum and minimum values
📈
Graphing quadratics
⊗=
Solving quadratics graphically
Completing the square
◧=
Solving by completing the square
𝑥
The quadratic formula
Δ
The discriminant
√⋅
Simplifying square roots
√÷
Dividing roots & rationalizing
√+
Adding & subtracting radicals
√×
Multiplying radicals
√=
Radical equations
Extraneous solutions
Pythagorean theorem
△?
Converse & Pythagorean triples
The distance formula
Similar triangles
جا
Trigonometric ratios
جا⁻¹
Inverse trig functions
📊
Data collection & sampling
🎲
Types of random samples
٪
Analyzing survey results
σ
Statistics, parameters & deviation
σ²
Variance & standard deviation
n!
Permutations & factorial
nPr
Permutation law nPr
nCr
Combinations nCr
Independent events probability
Dependent events probability
Mutually exclusive events
Non-mutually-exclusive events