Preview Algebra 0607

Expansions

Expansions Involving Monomials

Multiplying constant and binomial expression

Multiplying constant and trinomial expression

Simplification of expressions

Expansions Involving Binomials

Multiplying two binomial expressions

Simplification after Multiplication of two binomials

Expansions Involving Difference of Squares

Difference of Squares

Application of Difference of squares with whole numbers

Application of Difference of squares with decimals

Expansions Involving Perfect Squares

Perfect Squares Expansion with whole numbers

Perfect Squares Expansion with fractions and decimals

Perfect Squares Expansion (where x term has a coefficient)

Perfect Squares Expansion (with x coefficient and fractions/decimals)

Perfect Squares Expansion (where x term has a power)

Simplification after Perfect Squares Expansion

Further Expansions - I

Expansion of a binomial and trinomial expression

Expanding the product of a monomial and two binomial expressions

Cubing Binomial Expressions using Formula

Cubing Binomial Expressions without Formula

Cubing Binomial Expressions

Further Expansions - II

Expanding the product of three binomial expressions

Expansion of two trinomial terms

Expansions to the power Four using Formula

Binomial Expressions to the Power Four without Formula

Binomial expressions to the power four

Factorization

Factorization Taking Common Factors

Factorization by taking a common factor

Factorization by taking a common bracket

Factorization involving difference of squares

Factorization by Difference of Two Squares

Factorization by Difference of Two Squares Involving Fractions/Decimals

Factorization by Difference of Two Squares by Taking Common

Factorization involving difference of squares with brackets

Factorization by Difference of Two Squares Involving One Bracket

Factorization by Difference of Two Squares Involving Two Brackets

Factorization involving perfect squares

Factorization of Perfect Squares

Factorization involving four terms

Factorization Involving Four Terms

Factorization by Splitting the Middle Term

Factorization by Splitting the Middle Term by Taking Common

Factorization by Splitting the Middle Term (x2 coefficient not equal to 1)

Factorization by splitting the middle term (involving brackets)

Factorization by Splitting the Middle Term Involving Brackets (Hard)

Mixed Bag

Algebraic Fractions

Basic Substitution and Evaluation

Substitution and Evaluation of Algebraic Fractions

Basic Simplification

Simplification of Fractions – Easy

Simplification of Fractions – Moderate

Simplification involving Factorization

Simplification after Factorization by taking common

Simplification after factorization by Difference of Squares

Simplification involving Splitting the Middle Term

Simplification after factorization by Splitting the middle term

Multiplication of Single Fractions

Division of Single Fractions

Multiplication and division of fractions with factorization

Multiplication and division of fractions after factorization

Addition and subtraction with a constant base

Addition and Subtraction of fractions with constant base

Addition and Subtraction with Variable Base

Addition and Subtraction of fractions with a monomial expression as the base

SImplification with binomial & trinomial denominators

Addition and Subtraction of fractions with a binomial/trinomial expression as the base

Addition and Subtraction of fractions with fractions in the numerator and denominator

Addition and Subtraction of fractions with Fraction Numerators/denominators

Indices

BASIC LAWS OF EXPONENTS

Product Law

Quotient Law

Power Law

Power law with coefficients

Power Law with Coefficients

NEGATIVE EXPONENTS

Negative Exponents (Write without negative exponents)

Negative Exponents Harder

EXPONENTS - COMBINATION

Combination (Product, Quotient, Power, Negative Exponents)

OPERATIONS ON INDICES

Operations Involving Exponents

EXPONENTS - WRITING WITHOUT FRACTIONS

Writing without fractions (Simplification)

EXPRESSING NUMBERS IN TERMS OF INDICES

Expressing numbers in terms of a base power (non GDC)

Exponents involving fractional powers

Fractional Powers involving Constants

Fractional Powers involving Variables and Constants

HCF and LCM of Exponents

HCF & LCM of exponents

Solving Exponential Equations

Exponential Equations

Linear Equations

LINEAR EQUATIONS - CONCEPT

Choosing the right logic – Addition and subtraction

Choosing the right logic – Multiplication and Division

LINEAR EQUATIONS - BASICS

Solving Linear Equations - Basic

Solving Linear Equations with Coefficients

LINEAR EQUATIONS WITH FRACTIONAL COEFFICIENTS

Solving Linear Equations with Fractional Coefficients

Solving Linear Equations with Fractions

LINEAR EQUATIONS WITH REPEATED VARIABLES

Solving Linear Equations with Repeated Variables - Basic

Solving Linear Equations with Repeated Variables on both sides of equation

LINEAR EQUATIONS INVOLVING BRACKETS

Solving Linear Equations with Brackets

Solving Linear Equations with Repeated Variables – Involving Opening of Brackets

Solving Linear Equations with Repeated Variables – Involving Opening of Brackets on both sides of the equation

FRACTIONAL LINEAR EQUATIONS

Solving Equations involving Fractions on both sides

Solving Equations with x in the denominator

Solving Equations with a Binomial Expression in the Denominator

Solving Linear Equations with Variables in Numerator and Denominator

Solving Linear Equations - Harder

Word Problems on Linear Equations

Linear Word Problems Involving Numbers

Equations Related to Numbers

Linear Word Problems on Consecutive Numbers

Equations Related to Consecutive Numbers

Linear Word Problems on Articles

Equations related to Articles

Linear Word Problems Involving Fractions

Equations related to Fractions

Linear Word Problems Involving Ratios

Equations related to Ratios

Linear Word Problems Involving Age

Age Related Word Problems

Linear Word Problems Involving Money

Money Related Word Problems

Linear Word Problems Involving AreaPerimeter

Area- Perimeter related Equations

Equations Involving Triangles

Equations related to Triangles

Equations Involving Quadrilaterals

Equations related to Quadrilaterals

Linear Word Problems on Speed, Distance, Time

Speed Distance Time related Equations

Simultaneous Equations

Simultaneous equations - Substitution

Simultaneous Equations - Substitution

Simultaneous Equations - Elimination

Solving simultaneous equations - Elimination

Simultaneous Equations - Rearrangement

Equations requiring simplification or rearrangement

Simultaneous Equations - Fractional Coefficients

Equations with Fractional Coefficients

Simultaneous Equations - Variable denominator

Equations where the variable is in the denominator

Simultaneous Equations - Swapped Coefficients

Simultaneous Equations with Swapped Coefficients

Simultaneous Equations - Solve Graphically

Simultaneous Equations - Solve using Technology

Word Problems on Simultaneous Equations

Numbers

Number Problems

Fractions

Age

Age Problems

Exchange

Articles

Money

Speed, Distance, Time

Speed Distance Time related Simultaneous Equations

Area

Area-Perimeter

Ratio

Ratios

Profit and Loss

Functions Involving Simultaneous Equations - 2 variables

Functions involving Simultaneous Equations – 2 variables

Quadratic Equations

Quadratic Equations - Basics

Solving equations – Basic

Solving equations in factored form

Quadratic Equations - Factorization

Solving Quadratic Equations by factorization

Solving Quadratic Equations by factorization where coefficient of x2 is not equal to 1

Solving Quadratic Equations, rearrangement followed by factorization

Framing a Quadratic Equation

Framing the Quadratic Equation

Solving Quadratic Equations with Formula

Solve using the formula

Concept of Discriminant

Nature of Discriminant

Finding Missing Values and Determining the Nature of the Roots

Finding unknown values (based on Discriminant)

Comment on the nature of roots

Quadratic Equations - Solve using Technology

Solving Quadratic Equations using Technology

Quadratic Equations - Solve Graphically

Word Problems - Quadratic Equations

Numbers

Problem Based on Numbers

Speed, Distance, Time

Problems based on Speed, Distance & Time

Geometric Figures

Problems based on Geometrical Figures

Age

Problems based on age

Money

Problems based on Money

Formulae

Framing Formulae

Framing Formulae for Geometric Shapes

Basic Substitution

Formula Substitution

Formula Rearrangement

Formula Rearrangement – Linear

Formula Rearrangement – Linear (With Repetition of Variable)

Formula Rearrangement – Involving Crossover Multiplication or Division

Rearrangement involving Squares, cubes and roots

Formula Rearrangement Involving Squares and Cubes

Formula Rearrangement Involving Square/Cube Roots

Rearrangement with Repeated Variables

Formula Rearrangement – Involving Crossover and Rearrangement

Formula Rearrangement - Involving Crossover, Formula Rearrangement

Mixed Bag

Formula Rearrangement and Substitution

Formula by Induction

Formula by Induction from numbers

Formula by Induction from diagrams and patterns

General Sequences

Forming Sequences

Forming the Sequence

Finding the terms of a Sequence

Finding the terms of the sequence

Identifying the next few terms

Identify the correct Sequence

Arithmetic Sequences

Arithmetic Sequence - Concept

Identifying the first term and common difference

Identify first term and common difference

Finding the general term

Finding the nth term

Finding the number of terms

Number of terms in sequence

Finding the term number

Checking if a term belongs

Geometric Sequences

Geometric Sequences - Concept

Identify first term and common ratio

Finding the first term and common ratio

Finding the next few terms

Finding next few terms

General Term of a Sequence

Finding the general term of a sequence

Finding the particular term of a Sequence

Identifying the term number

Finding the term number of a sequence

Quadratic and Cubic Sequences

Identify the type of sequence

Identify the type of Sequence

Determine the general term using logic - Quadratic

Finding the general term using logic

Determine the general term using substitution - Quadratic

Finding the general term using substitution

Determine the general term using method of differences - Quadratic

Finding the general term using the method of differences

Determine the general term using technology - Quadratic

Finding the general term using technology

Determine the general term using logic - Cubic

Finding the general term using logic

Determine the general term using substitution - Cubic

Finding the general term using substitution/forming equations

Determine the general term using method of differences - Cubic

Finding the general term using the method of differences

Determine the general term using technology - Cubic

Finding the general term using technology

Linear Inequations

Linear Inequations - Concept

Expressing an inequality

Representing Number Lines as an Inequality

Understanding Values

Linear Inequations - Basic Sums

Solving Linear Inequalities - Basic

Solving Linear Inequalities where x has a coefficient

Solving Linear Inequations

Solving Linear Inequalities with repeated x variables

Solving Linear Inequalities by expanding brackets

Solving Linear Inequalities where x has a fractional coefficient

Solving Linear Inequalities – Harder

Word Problems

Quadratic Inequalities

Concept & solving without technology

Solving Quadratic Inequalities without technology

Solving quadratic inequalities using technology

Solving Quadratic Inequalities using Technology

Solving Cubic inequalities using technology

Solving Cubic Inequalities – with GDC

Solving Other inequalities using technology

Solving Other Inequalities using GDC

Solving Inequalities with two points of intersection

Inequalities Involving two graphs (2 points of intersection)

Solving inequalities with more than two points of intersection

Inequalities Involving two graphs (more than 2 points of intersection)

Determining Unknown Values

Determining Unknown Values - Part A

Determining Unknown Values - Part B

Linear Inequalities in a Cartesian Plane

Linear Inequalities - Single Variable

Inequalities Represented by Shaded Regions (Single Variable)

Linear Inequalities - Two Single Variables

Inequalities Represented by Shaded Regions (Two Single Variable Equations)

Linear Inequalities - Two Variables

Region Representing the Inequality – Involving Two Variables

Using Shaded Region to represent Inequalities with Two Variables

Linear Inequalities - Multiple Inequalities

Multiple Inequalities Represented by Shaded Regions

Using Shaded Region to represent Multiple Inequalities

Application of Linear Inequalities

Application

Exam Style Questions

Variation

Variation - Concept

Concept

Word Problems on Variation

Direct Variation

Inverse Variation

Powers in direct variation

Powers in Direct Variation

Powers in Direct Variation – Word Problems

Powers in Inverse variation

Powers in Indirect Variation

Powers in Indirect Variation – Word Problems

Powers in Direct & Inverse variation involving Changes

Powers in Direct and Inverse Variation

Percentage changes in direct & inverse variation

Powers in Direct and Inverse Variation involving Percentage Change

Power Model in Variation

Power Model

Preview - Algebra 0607