## Math Medicine

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

-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