Preview Algebra ICSE Grade 8

Algebra Basics

Constants & Variables

Understanding Terminology – Variables and Constants

Equations & Expressions

Understanding Terminology – Equations and expressions

Like & Unlike Terms

Understanding Terminology - Like and Unlike terms

Monomials, binomials, trinomials & poynomials

Understanding Terminology – Monomial, Binomial, Trinomial and Polynomial

Identify the number of terms

Degree of a polynomial

Degree of the polynomial

Addition involving one term

Addition of Algebraic Terms, involving one set of like terms

Addition involving two sets of like terms

Addition of Algebraic Terms, involving two sets of like terms

Addition involving three or more sets of like terms

Addition of Algebraic Terms, involving three or more sets of like terms

Subtraction involving one set of like terms

Subtraction involving two set of like terms

Subtraction involving two like terms

Subtraction involving Three Or more setS of like terms

Subtraction involving three or more like terms

Combination of Addition or Subtraction

Combination of Addition and Subtraction

Multiplication of two or three monomials

Multiplication of two monomials

Multiplication of three monomials

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

Multiplication of three binomial expressions

Multiplication of two trinomial expressions

Division of a monomial by a monomial

Division of a Binomial Trinomial by a monomial

Division of a binomial/trinomial by a monomial

Division of a Trinomial by a binomial

Division of a trinomial by a binomial

Division of a Polynomial by a binomial Trinomial

Division of a polynomial by a trinomial

Division of a Polynomial by a Polynomial involving a remainder

Division of a polynomial by another polynomial, involving a remainder

Application of multiplication and division

Application of Multiplication and Division

Opening brackets followed by a negative sign

Simple opening of Brackets involving a negative sign

Sums involving two sets of brackets

Nested brackets

Nested Brackets

Nested Brackets - Harder

Simplification & Bodmas with algebra

Simplification of Brackets

BODMAS with Algebra

Expansions

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

Expansion involving Difference of Squares

Expansion involving difference of squares

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

Squaring a Trinomial

Squaring a trinomial

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

Cubing a Binomial Expression involving Fractions

Cubing a binomial expression involving fractions

Further Expansions - II

Expanding the product of three binomial expressions

Expansion of two trinomial terms

Finding Missing Terms

Finding Missing Terms involving Binomial Expansion

Finding missing terms – binomial expression

Finding Missing Terms involving Binomial Expansion with Fractions

Finding missing terms, involving fractions

Finding Missing Terms involving Trinomial Expansion

Finding missing terms involving trinomial expansion

Finding Missing Terms involving Cubing Binomial Expressions

Finding missing terms involving cubing binomial expressions

Finding Missing Terms involving Cubing Binomial Expressions with Fractions

Finding missing terms involving fractions in cubing binomial expressions

Sums Involving Squares and Cubes

Mixed Bag – Involving squares and cubes

Test on Expansions - I (Non Calculator) (Easy)

Test on Expansions - II (Non Calculator) (Easy)

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)

Mixed Bag

Test on Factorization - I (Non Calculator)

Test on Factorization - II (Non Calculator)

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

Test on Algebraic Fractions - I (Non-Calculator)

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 - 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

Linear equations requiring simplication of fractions

Solving Linear Equations requiring simplification of fractions on both sides

Test on Simple Linear Equations (Non Calculator)

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 involving splitting a number

Linear Word Problems related to splitting a number

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 Proportion

Linear Word Problems on Proportion

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

Test on Linear Word Problems (Non Calculator)

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 - Swapped Coefficients

Simultaneous Equations with Swapped Coefficients

Simultaneous Equations - Solve Graphically

Simultaneous Equations - Solve using Technology

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

Linear Inequations

Linear Inequations - Concept

Expressing an inequality

Representing Number Lines as an Inequality

Understanding Values

Expressing an inequality when terms are added

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

Determining the solution set

Solving Linear Inequalities by satisfying conditions

Solving Linear Inequalities by satisfying given conditions

Graphing an Inequation on a Number line

Graphing an inequation on a number line

Test on Linear Inequations (Non Calculator)

Preview - Algebra ICSE Grade 8