Preview Algebra ICSE Grade 7

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

Multiplication of three binomial 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

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

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

Equations related to Fractions

Linear Word Problems Involving Fractions

Linear Word Problems on Articles

Equations related to Articles

Linear Word Problems Involving Ratios

Equations related to Ratios

Linear Word Problems Involving Age

Age Related Word Problems

Equations related to 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

Test on Linear Word Problems (Non Calculator)

Formulae

Framing Algebraic Expressions

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 with Repeated Variables

Formula Rearrangement – Involving Crossover and Rearrangement

Formula Rearrangement - Involving Crossover, Formula Rearrangement

Mixed Bag

Formula Rearrangement and Substitution

Expansions/Products

Direct Method Expansion Using Whole Numbers

Expansion using direct method using whole numbers

Direct Method Expansion Using Fractions

Expansion using direct method using fractions

Direct Method Expansion Using Decimals

Expansion using direct method using 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)

Checking for a Perfect Square

Application of Perfect Square Expansion

Application of a perfect square

Expansions Involving Difference of Squares

Difference of Squares

Application of Difference of Squares with Whole Numbers

Application of Difference of squares with whole numbers

Factorization

Factorisation taking common factor

Factorization by taking a common factor

Factorization by taking a common bracket

Factorization involving four terms

Factorization Involving Four Terms

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 of Difference of Squares with Whole Numbers

Application of Difference of Squares involving whole numbers

Factorization of Difference of Squares with Fractions & Decimals

Application of Difference of Squares involving fractions

Application of Difference of Squares involving decimals

Linear Inequalities

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

Determining the solution set

Solving Linear Inequalities by satisfying conditions

Solving Linear Inequalities by satisfying given conditions

Preview - Algebra ICSE Grade 7