**Exam questions:** 26

**Exam time: **180 minutes

**Curriculum: **119 topics

**Recommended study time: **120 hours*

**Learning Assessments**View here

**Available language(s):**

** Recommended study time is an estimate and can differ per learner*

Chapter 1: Linear formulas and equations (13 topics)

- Formulas (3 topics)

- Formulas
- Dependent and independent variables
- Graph of a formula

- Linear functions (4 topics)

- Linear formulas
- Slope and Intercept
- Composing a linear formula
- Parallel and intersecting linear formulas

- Linear equations and inequalities (6 topics)

- Linear equations
- The general solution of a linear equation (rules of reduction)
- Intersection points of linear formulas with the axes
- Intersection point of two linear formulas
- Linear inequalities
- General solution of a linear inequality

Chapter 2: System of linear equations (8 topics)

- An equation of a line (4 topics)

- A linear equation with two unknowns
- Solution of linear equations with two unknowns (rules of reduction)
- The equation of a line
- Composing the equation of a line

- Two equations with two unknowns (4 topics)

- Systems of linear equations
- Solving systems of linear equations by substitution
- Solving systems of equations by elimination
- General solution system of linear equations

Chapter 3: Quadratic equations (13 topics)

- Parabola (2 topics)

- Quadratics
- Parabola

- Solving quadratic equations (4 topics)

- Quadratic equations
- Solving quadratic equations by factorization
- Solving quadratic equations by completing the square
- The quadratic formula

- Drawing parabolas (4 topics)

- Intersection of parabolas with the axes
- Vertex of a parabola
- Drawing of parabolas
- Transformations of parabolas

- Intersection points of parabolas (2 topics)

- Intersection points of a parabola with a line
- Intersection points of parabolas

- Quadratic inequalities (1 topic)

- Quadratic inequalities

Chapter 4: Functions (29 topics)

- Domain and range (5 topics)

- Function and formula
- Function rule
- Intervals
- Domain
- Range

- Power functions (3 topics)

- Power functions
- Transformations of power functions
- Equations with power functions

- Higher degree polynomials (5 topics)

- Polynomials
- Equations with polynomials
- Solving higher-degree polynomials with factorization
- Solving higher-degree polynomials with the quadratic equation
- Higher degree inequalities

- Power functions and root functions (5 topics)

- Root functions
- Transformations of root functions
- Root equations
- Solving root equations with substitution
- Inverse functions

- Fractional functions (8 topics)

- Asymptotes and hyperbolas
- Power functions with negative exponents
- Transformations of power functions with negative exponents
- Linear fractional functions
- Linear fractional equations
- Inverse of linear fractional functions
- Quotient functions
- Long division with polynomials

- Limits and asymptotes (5 topics)

- The definition of a limit
- Perforations and other discontinuities
- Horizontal asymptotes
- Vertical asymptotes
- Oblique asymptotes

Chapter 5: Exponential functions and logarithms (13 topics)

- Exponential functions (3 topics)

- The exponential function
- Exponential equations
- Transformations of the exponential function

- Logarithmic functions (10 topics)

- The logarithmic function
- Logarithmic equations
- Exponential equations
- Isolating variables
- Rules for logarithms
- More logarithmic equations
- Change of base
- Solving equations using substitution
- Graph of logarithmic functions
- Transformations of the logarithmic function

Chapter 6: Sequences and series (5 topics)

- The notions of sequence and series (1 topic)

- The notions of sequence and series

- Arithmetic sequences and series (2 topics)

- Arithmetics sequences
- Arithmetic series

- Geometric sequences and series (2 topics)

- Geometric sequences
- Geometric series

Chapter 7: Trigonometry (13 topics)

- Angles with sine, cosine, and tangent (8 topics)

- Angles
- Triangles
- Rules for right-angled triangles
- Angles in radians
- Symmetry in the unit circle
- Special values of trigonometric functions
- Addition formulas for trigonometric functions
- Sines and cosines rules

- Trigonometric functions (5 topics)

- Trigonometric functions
- Transformations of trigonometric functions
- Inverse trigonometric functions
- Trigonometric equations 1
- Trigonometric equations 2

Chapter 8: Geometry - basics (8 topics)

- Lines (2 topics)

- Lines
- Parallel and perpendicular lines

- Angles and polygons (3 topics)

- Angles
- Triangles
- Polygons

- Calculations of triangles (3 topics)

- Pythagorean theorem
- Perimeter
- Area

Chapter 9: Geometry - continued (9 topics)

- Lines (4 topics)

- Different descriptions of a line
- Angles between lines
- Perpendicular lines
- Distance point and line

- Circles (5 topics)

- Different descriptions of a circle
- Intersections of a line and a circle
- Tangent line to a circle
- Intersections of circles
- Distance to a circle

Chapter 10: Physics (Mechanics) (4 topics)

- One dimensional motion

- Two-dimensional motion

- Forces and Newton's laws

- Work and Energy

Chapter 11: Chemistry (4 topics)

- Substances and solutions

- Chemical reactions

- Acids and Bases

- Redox chemistry

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