**Exam questions:** 30**Exam time: **120 minutes

This course covers the topics shown below**Curriculum:** 66 topics**Recommended study time:** 40 hours*

**Available language(s):**

** This is an estimate and can differ per learner*

Chapter 1: Numbers (17 topics)

- Integers (3 topics)

- Calculating with integers
- Integers
- Division of integers

- Negative numbers (1 topic)

- Absolute value

- Fractions (7 topics)

- Fractions
- Equivalent fractions
- Simplifying fractions
- Addition and subtraction of fractions
- Multiplication and division of fractions
- Integer powers of fractions
- Decimal numbers

- Powers and roots (6 topics)

- Exponents
- Calculating with powers
- Roots of integers
- Roots of fractions
- Standard notation of higher roots
- Order of operations for powers and roots

Chapter 2: Algebra (28 topics)

- Variables (6 topics)

- Variables
- Sum and product of variables
- Substitution
- Simplification of multiplications
- Simplification of additions and subtractions
- Simplification with algebraic rules

- Calculating with exponents and roots (7 topics)

- Integer powers
- Rules for calculating with integer exponents
- Square roots
- Rules for calculating with square roots
- Higher degree roots
- Calculating with fractional exponents
- Order of operations

- Expanding brackets (2 topics)

- Expanding single brackets
- Expanding double brackets

- Factorization (2 topics)

- Factorization
- Product sum method

- Notable products (2 topics)

- The square sum of a sum or a difference
- The difference of two squares

- Adding and subtracting fractions (9 topics)

- Fractions with variables
- Similar fractions
- Simplifying fractions
- Addition and subtraction of like fractions
- Making fractions similar
- Addition and subtraction of fractions
- Multiplication of fractions
- Division of fractions
- Fraction decomposition

Chapter 3: Linear formulas and equations (17 topics)

- Formulas (3 topics)

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

- Linear functions (6 topics)

- Linear formulas
- Slope
- Determining the slope from two points
- Intercept
- Composing a linear formula
- Parallel and intersecting linear formulas

- Linear equations and inequalities (8 topics)

- Linear equations
- Equivalent 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
- Equivalent inequalities
- General solution of a linear inequality

Chapter 4: Geometry (4 topics)

- Some notions on lines
- Angles
- Triangles
- Pythagorean theorem