Class 8 Math Worksheets and Problems: Multiplication of Algebraic Expressions

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Class 8
Algebraic Expressions and Identities
Operations on Algebraic Expressions
Multiplication of Algebraic Expressions

Class 8 NCERT (CBSE and ICSE) Multiplication of Algebraic Expressions

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Master this topic as part of Operations on Algebraic Expressions

Class 8

1. Rational Numbers

1.1. Standard Form of a Rational Number

1.2. Representation of Rational Numbers on the Real Line

1.3. Addition and Subtraction of Rational Numbers

1.3.1. Addition of Rational Numbers

1.3.2. Properties of Addition Of Rational Numbers

1.4. Subtraction of Rational Numbers

1.5. Multiplication and Division of Rational Numbers

1.5.1. Multiplication of Rational Numbers

1.5.2. Reciprocal of Rational Number

1.5.3. Properties of Multiplication of Rational Numbers

1.5.4. Division of Rational Numbers

1.6. Rational Numbers Lying between Two Rational Number

1.7. Simplifying Rational Numbers

1.8. Word Problems on Rational Numbers

2. Linear Equations in One Variable

2.1. Solving Linear Equations by the Method of Transposition

2.2. Word Problems Based on Linear Equations

3. Understanding Shapes

3.1. Curve

3.1.1. Open Curve

3.1.2. Closed Curve

3.1.3. Simple Closed Curve

3.2. Polygon

3.2.1. Understanding Polygons

3.2.2. Name the Polygon

3.2.3. Concave and Convex Polygon

3.2.4. Diagonals in a Polygon with n Sides

3.2.5. Interior and the Exterior Angle of a Regular Polygon with n Sides

3.2.6. Finding Magnitude of Unknown Angles in the Given Polygon

3.3. Quadrilaterals

3.3.1. Introduction to Quadrilaterals

3.3.2. Angle Sum Property of a Quadrilateral

3.3.3. Special Types of Quadrilaterals

4. Practical Geometry

4.1. Construction of a Quadrilateral

4.1.1. When 4 Sides and 1 Diagonal are Given

4.1.2. When 3 Sides and 2 Diagonal are Given

4.1.3. When 2 Adjacent Sides and 3 Angles are Given

4.1.4. When 3 Sides and 2 Included Angles are Given

4.1.5. Construction using Special Properties

5. Data Handling

5.1. Frequency Distribution

5.1.1. Frequency Distribution of Ungrouped Data

5.2. Bar Graphs

5.2.1. Creating Bar Graphs

5.2.2. Interpreting Bar Graphs

5.3. Pie Charts

5.3.1. Drawing Pie Charts

5.3.2. Interpret and Present Data as Pie Charts

6. Probability

7. Squares and Square Roots

7.1. Square of a Number

7.1.1. Square of a Number

7.1.2. Perfect Square or Square Numbers

7.1.3. Properties of Perfect Squares

7.1.4. Sum of First n Odd Natural Numbers

7.1.5. Pythagorean Triplets

7.1.6. Using Identities to Find the Square of a Number

7.2. Square Root

7.2.1. Square Root by Prime Factorization

7.2.2. Square Root by Long-Division Method

7.2.3. Square Root of Numbers In Decimal Form

7.2.4. Square Root of Fractions

7.2.5. Square Root of Product of Integers

7.2.6. Simplifying Expressions Involving Square Roots

7.3. Word Problems On Squares And Square Roots

8. Cubes and Cube Roots

8.1. Cube of a Number

8.1.1. Cube Of A Positive Number

8.1.2. Cubes Of Negative Integers

8.1.3. Cube Of A Rational Number

8.1.4. Perfect Cube or Cube numbers

8.1.5. Properties of Perfect Cubes

8.2. Cube Root

8.2.1. Cube Root Of a Perfect Cube by Prime Factorization

8.2.2. Cube Root of a Negative Perfect Cube

8.2.3. Cube Root of Product of Integers

8.2.4. Cube Root of a Rational Number

8.2.5. Cube Root Of A Decimal Number

8.2.6. Simplifying Expressions Involving Cube Roots

8.3. Word Problems on Cubes and Cube Roots

9. Percentage

9.1. Conversions

9.1.1. Convert a Fraction into Percentage

9.1.2. Convert a Percentage into Fraction

9.1.3. Convert Percentage into a Ratio

9.1.4. Convert a Ratio into Percentage

9.1.5. Convert Percentage into Decimal form

9.1.6. Convert Decimal into Percentage

9.2. Percentage of a Quantity

9.3. Solving Expressions Involving Percentages

9.4. Word Problems on Percentage

10. Profit and Loss

10.1. Terms Related to Profit and Loss

10.2. Problems on Finding the Gain/Loss and Gain%/Loss%

10.3. Problems on Finding the SP of the Article

10.4. Problems on Finding the CP of the Article

10.5. Problems on Finding the Number of Articles

10.6. Discount

10.7. Tax

11. Compound Interest

11.1. Compound Interest Compounded Annually

11.1.1. Compound Interest Compounded Annually and Rates are Same for All the Years

11.1.2. Compound Interest Compounded Annually and Rates are Different for Different Years

11.1.3. Compound Interest Compounded Annually and Time is a Fraction

11.2. Finding Time When Compound Interest Compounded Annually

11.3. Finding Rate When Compound Interest Compounded Annually

11.4. Finding Principal When Compound Interest Compounded Annually

11.5. Compound Interest Compounded Half-Yearly

11.6. Compound Interest Compounded Quarterly

11.7. Applications of Compound Interest

12. Algebraic Expressions and Identities

12.1. Operations on Algebraic Expressions

12.1.1. Addition of Algebraic Expressions

12.1.2. Subtraction of Algebraic Expressions

12.1.3. Addition and Subtraction of Algebraic Expressions

12.1.4. Multiplication of Algebraic Expressions

12.1.4.1. Multiplication of Monomials

12.1.4.2. Multiplication of a Monomial and a Binomial

12.1.4.3. Multiplication of a Polynomial and a Monomial

12.1.4.4. Multiplication of Binomials

12.1.4.5. Multiplication of two Polynomials

12.1.4.6. Simplify Expressions Involving Multiplication of Algebraic Expressions

12.1.5. Division of Algebraic Expressions

12.1.5.1. Division of a Monomial by a Monomial

12.1.5.2. Division of a Polynomial by Another Polynomial

12.1.6. Some Special Identities

13. Visualising Solid Shapes

13.1. Identifying 3-D Shapes

13.2. Euler's Relation for 3-Dimensional Figures

14. Mensuration

14.1. Standard Units of Area

14.2. Area and Perimeter

14.2.1. Area and Perimeter of a Square

14.2.2. Area and Perimeter of a Rectangle

14.2.3. Area of 4 Walls of a Room

14.2.4. Area between Two Rectangles

14.2.5. Area and Perimeter of Triangles

14.2.6. Area and Perimeter of Parallelogram and Rhombus

14.2.7. Circumference and Area of a Circle

14.2.8. Area Enclosed Between Two Different Shapes

14.2.9. Area of a Trapezium

14.2.10. Area of Polygon

14.2.10.1. Area of Irregular Polygons

14.2.10.2. Area of Regular Polygons

14.3. Volume and Surface Area

14.3.1. Volume and Surface Area of Cuboid

14.3.2. Volume and Surface Area of Cube

14.3.3. Volume and Surface Area of Cylinders

14.3.4. Mixed Problems on Volume and Surface Area

15. Exponents and Powers

15.1. Exponent of a Rational Number

15.2. Express Rational Numbers in Exponential Form

15.3. Solving Expressions Involving Exponents

15.4. Laws of Exponents

15.5. Word Problems on Exponents

15.6. Finding the Unknown from the Given Exponential Equation

15.7. Standard Form of Large Numbers

15.8. Standard Form of Small Numbers

15.9. Operations on Large Numbers

16. Direct and Inverse Proportions

16.1. Direct Proportions

16.2. Inverse Proportions

17. Time and Work

18. Factorization

18.1. Factorization by Taking Out the Common Factor

18.2. Factorization by Grouping

18.3. Factorization When the Expression is a Difference of Two Squares

18.4. Factorization When the Expression is a Perfect Square

18.5. Factorization of Quadratic Trinomials

19. Introduction to Graphs

19.1. Understanding the terms related to Graphs

19.2. Identify the Coordinates of a Point on the Cartesian Plane

19.3. Identify the Coordinates of the Points on X-axis, Y-axis and the Origin

19.4. Graphs of Multiples of Different Numbers

20. Playing with Numbers

20.1. Numbers in Generalized Form

20.2. Tests of Divisibility

20.2.1. Test Divisibility by 2

20.2.2. Test Divisibility by 3

20.2.3. Test Divisibility by 4

20.2.4. Test Divisibility by 5

20.2.5. Test Divisibility by 6

20.2.6. Test Divisibility by 7

20.2.7. Test Divisibility by 8

20.2.8. Test Divisibility by 9

20.2.9. Test Divisibility by 10

20.2.10. Test Divisibility by 11

20.3. Replacing Alphabets with Suitable Numbers

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