Definitions A complex number is written as a + bi where a and b are real numbers an i, called the imaginary unit, has the property that i2 = -1. The complex numbers a + bi and a – bi are called complex conjugate of each other. Formulas 1) Equality of complex numbers a + […]

## How to Use Algebra Tiles to Teach Basic Algebra

We can make algebra more efficiently if we use algebra tiles. Algebra tiles are square and rectangular tiles that visually represent parts of algebraic equation. They make learning of algebra much easier and much faster, and students like it. Things you’ll need Algebra tiles– Positive:18 unit tiles and 12 “x” tiles Negative:18 unit tiles and […]

## Solutions of Algebraic Equations

Quadric Equation: \( ax^2 + bx + c = 0 \) Solutions (roots): \( x_{1,2} = \frac{-b \pm \sqrt{b^2 – 4ac}}{2a} \) If \( D = b^2 – 4ac \) is the discriminant , then the roots are 1. real and unique if D>0 2. real and equal if D=0 3. complex conjugate if D<0 Cubic Equation: \( x^3 + a_1x^2 + a_2x […]

## Sets of Numbers Formulas

Definitions N: Natural numbers N0: Whole numbers Z: Integers Z+: Positive integers Z-: Negative integers Q: Rational numbers C: Complex numbers Formulas Natural numbers (counting numbers ) \( N = \{ 1, 2, 3, \dotsc \} \) Whole numbers ( counting numbers with zero ) \( N_0 = \{ 0, 1, 2, 3, \dotsc \} \) Integers […]

## How to Translate Words Into Algebraic Expressions

Mathematical phrase that includes one or more operations and variables is named as algebraic expression. For example X + 5. Variable is value that is represented by some letter, in this case X. The operation can be addition, subtraction, multiplication or division. + sign represents and addition, – sign represents subtraction. x or centered dot […]