# Secondary 2 Maths Help & Practice

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##### 1Number Theory

##### 2Adding and Subtracting Integers

##### 3Multiplying and Dividing Integers

##### 4Rational Numbers

##### 5Radicals

##### 6Exponents

##### 7Ratios, Rates and Proportions

##### 8Proportional Relationships

##### 9Percents

##### 10Measuring Systems

##### 11Coordinates, Quadrants, and Transformations

##### 12Angles, Lines and Transversals

##### 13Properties of Triangles

##### 14Congruent Triangles

##### 15Symmetry and Surface Area

##### 16Pythagorean Theorem

##### 17Surface Area of 3D Shapes

##### 18Circles

##### 19Volume of 3D Shapes

##### 20Scale Factors and Similarity

##### 21Linear Equations (Basic)

- 21.1Model and solve one-step linear equations:
*ax = b*,*x/a = b* - 21.2Solving two-step linear equations using addition and subtraction:
*ax + b = c* - 21.3Solving two-step linear equations using multiplication and division:
*x/a + b = c* - 21.4Solving two-step linear equations using distributive property:
*a(x + b) = c*

- 21.1Model and solve one-step linear equations:
##### 22Solving Linear Equations

##### 23Linear Inequalities

##### 24Introduction to Relations and Functions

##### 25Linear Functions

- 25.1Distance formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
- 25.2Midpoint formula: $M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)$
- 25.3Gradient equation: $m = \frac{y_2-y_1}{x_2- x_1}$
- 25.4Gradient intercept form: y = mx + b
- 25.5General form: Ax + By + C = 0
- 25.6Gradient-point form: $y - y_1 = m (x - x_1)$
- 25.7Rate of change
- 25.8Graphing linear functions using table of values
- 25.9Graphing linear functions using x- and y-intercepts
- 25.10Graphing from gradient-intercept form y=mx+b
- 25.11Graphing linear functions using a single point and gradient
- 25.12Word problems of graphing linear functions
- 25.13Parallel and perpendicular lines in linear functions
- 25.14Applications of linear relations

- 25.1Distance formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
##### 26Linear equations (Advanced)

- 26.1Introduction to linear equations
- 26.2Introduction to nonlinear equations
- 26.3Special case of linear equations: Horizontal lines
- 26.4Special case of linear equations: Vertical lines
- 26.5Parallel line equation
- 26.6Perpendicular line equation
- 26.7Combination of both parallel and perpendicular line equations
- 26.8Applications of linear equations

- 26.1Introduction to linear equations
##### 27Solving Simultaneous Equations

- 27.1Determining number of solutions to linear equations
- 27.2Solving simultaneous equations by graphing
- 27.3Solving simultaneous equations by elimination
- 27.4Solving simultaneous equations by substitution
- 27.5Money related questions in linear equations
- 27.6Unknown number related questions in linear equations
- 27.7Distance and time related questions in linear equations
- 27.8Rectangular shape related questions in linear equations

- 27.1Determining number of solutions to linear equations
##### 28Adding and Subtracting Polynomials

##### 29Multiplying and Dividing Polynomials

##### 30Factorising Polynomial Functions

- 30.1Common factors of polynomials
- 30.2Factorising polynomials by grouping
- 30.3Solving polynomials with the unknown "b" from
*x^2 + bx + c* - 30.4Solving polynomials with the unknown "c" from
*x^2 + bx + c* - 30.5Factorising polynomials:
*x^2 + bx + c* - 30.6Applications of polynomials:
*x^2 + bx + c* - 30.7Solving polynomials with the unknown "b" from $ax^2 + bx + c$
- 30.8Factorising polynomials: $ax^2 + bx + c$
- 30.9Factorising perfect square trinomials:
*(a + b)^2 = a^2 + 2ab + b^2*or*(a - b)^2 = a^2 - 2ab + b^2* - 30.10Find the difference of squares:
*(a - b)(a + b) = (a^2 - b^2)* - 30.11Evaluating polynomials
- 30.12Using algebra tiles to factorise polynomials
- 30.13Solving polynomial equations
- 30.14Word problems of polynomials

- 30.1Common factors of polynomials
##### 31Quadratic Functions

- 31.1Characteristics of quadratic functions
- 31.2Transformations of quadratic functions
- 31.3Quadratic function in general form:
*y = ax^2 + bx + c* - 31.4Quadratic function in vertex form:
*y = a(x-p)^2 + q* - 31.5Completing the square
- 31.6Converting from general to vertex form by completing the square
- 31.7Shortcut: Vertex formula
- 31.8Graphing parabolas for given quadratic functions
- 31.9Finding the quadratic functions for given parabolas
- 31.10Applications of quadratic functions

- 31.1Characteristics of quadratic functions
##### 32Algebraic Fractions

- 32.1Simplifying algebraic fractions and restrictions
- 32.2Adding and subtracting algebraic fractions
- 32.3Multiplying algebraic fractions
- 32.4Dividing algebraic fractions
- 32.5Solving equations with algebraic fractions
- 32.6Applications of equations with algebraic fractions
- 32.7Simplifying complex fractions
- 32.8Partial fraction decomposition

- 32.1Simplifying algebraic fractions and restrictions
##### 33Reciprocal Functions

##### 34Data and Graphs

##### 35Probability

##### 36Statistics