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
⅟
Power of a quotient
⁰
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