## Math Medicine

#### Your first-aid-kit in Mathematics

WORKED SOLUTIONS ON CHAPTER TESTS

SURDS

Simplifying Surds

Rationalizing Denominators with Surds, Word Problems involving Surds

Solving Equations involving Surds, Simultaneous Equations involving Surds

FUNCTIONS AND TRANSFORMATION

Covered:

-Domain and Range

-Composite Functions

-Inverse Functions

-Transformations

-Translation

-Reflection

-Stretch

Combined Transformations

CIRCULAR MEASURE

Covered:

-Radians to Degree and Vice Versa

-Arc Length and Area of Sector

-Minor/Major Arc, Major/Minor Sector

-Area of a Segment, Area of a Triangle

LOGARITHM

Covered:

-Basic Logarithm concepts

-Rules of Logarithms

-Exponential and Exponential Equations

-Change of Base

-The Natural Number, e

POLYNOMIALS

Covered:

-Long Division

-Remainder Theorem

-Factor Theorem

-Factoring Cubic Functions

-Synthetic Division

-Solving Cubic Equations

Covered:

-Expressing Quadratic Expressions into completed square form a(xb)2 + c

-Finding Coordinates of Vertex of a Parabola

-Finding Minimum or Maximum Point

-Simultaneous Equations :1 Linear & 1 Non-Linear

-Word Problems involving Quadratics

-Intersection of a Line and a Curve

-Nature of Roots of a Quadratic Equation

INDICES AND SURDS

Covered:

-Applying the Rules of Indices/Exponents

-Solving Equations involving Indices/Exponents

-Solving Equations by Substitution Method

-Surds, Simplifying Surds

-Addition, Subtraction, Multiplying, Dividing Surds

-Rationalizing Denominators with Surds

-Solving Equations involving Surds