Simplify Expressions involving Addition and Subtraction | Problems, Online Practice, Tests, Worksheets, Quizzes, Assignments | Class 7 | NCERT (CBSE and ICSE)

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Class 7
Fractions and Decimals
Fractions
Operations on Fractions
Simplify Expressions involving Addition and Subtraction

Class 7

1. Integers

1.1. Introduction to Integers

1.2. Representation of Integers on a Number Line

1.3. Successor and Predecessor of an Integer

1.4. Comparing Integers

1.5. Absolute Value of an Integer

1.6. Operations on Integers

1.6.1. Addition and Subtraction of Integers

1.6.1.1. Addition of Integers

1.6.1.2. Addition of Integers on the Number Line

1.6.1.3. Properties of Addition of Integers

1.6.1.4. Subtraction of Integers

1.6.1.5. Subtraction of Integers on the Number Line

1.6.1.6. Properties of Subtraction of Integers

1.6.2. Multiplication and Division of Integers

1.6.2.1. Multiplication of Integers

1.6.2.2. Properties of Multiplication of Integers

1.6.2.3. Division of Integers

1.6.2.4. Properties of Division of Integers

1.6.3. Mixed Operations of Integers

1.6.4. Word Problems on Integers

2. Fractions and Decimals

2.1. Fractions

2.1.1. Identifying Like and Unlike Fractions

2.1.2. Unit Fraction

2.1.3. Proper, Improper and Mixed Fractions

2.1.3.1. Understand Proper, Improper and Mixed Fractions

2.1.3.2. Convert Improper Fractions to Mixed Fractions

2.1.3.3. Convert Mixed Fractions to Improper Fractions

2.1.4. Equivalent Fractions

2.1.5. Simplest Form of a Fraction

2.1.6. Comparing Fractions

2.1.6.1. Comparing Like Fractions

2.1.6.2. Comparing Fractions with Same Numerator

2.1.6.3. Comparing Unlike Fractions

2.1.7. Operations on Fractions

2.1.7.1. Addition of Fractions

2.1.7.1.1. Addition of Like Fractions

2.1.7.1.2. Addition of Unlike Fractions

2.1.7.1.3. Addition of Mixed Fractions

2.1.7.2. Subtraction of Fractions

2.1.7.2.1. Subtraction of Like Fractions

2.1.7.2.2. Subtraction of Unlike Fractions

2.1.7.2.3. Subtraction of Mixed Fractions

2.1.7.3. Simplify Expressions involving Addition and Subtraction

2.1.7.4. Multiplication of Fractions

2.1.7.4.1. Simplify Expressions involving Multiplication

2.1.7.4.2. Use of 'OF'

2.1.7.5. Division of Fractions

2.1.7.5.1. Reciprocal of a Fraction

2.1.7.5.2. Simplify Expressions involving Division

2.1.7.6. Simplification by Using Operations

2.1.7.7. Word Problems on Fractions

2.1.7.7.1. Word Problems on Addition of Fractions

2.1.7.7.2. Word Problems on Subtraction of Fractions

2.1.7.7.3. Word Problems on Addition and Subtraction of Fractions

2.1.7.7.4. Word Problems on Multiplication of Fractions

2.1.7.7.5. Word Problems on Division of Fractions

2.2. Decimals

2.2.1. Introduction to Decimals

2.2.2. Reading a Decimal Number

2.2.3. Place Value Chart

2.2.4. Expanded Form of Decimal Numbers

2.2.5. Like and Unlike Decimals

2.2.6. Equivalent Decimals

2.2.7. Comparing Decimals

2.2.8. Ordering Decimals

2.2.9. Relate Decimals and Fractions

2.2.9.1. Convert Decimals to Fractions

2.2.9.1.1. Convert Decimals to Proper Fractions

2.2.9.1.2. Convert Decimals to improper Fractions

2.2.9.1.3. Convert Decimals to Mixed Fractions

2.2.9.2. Convert Fractions to Decimals

2.2.9.2.1. Convert Fractions with Denominators as Powers of 10 to Decimals

2.2.9.2.2. Convert Any Fractions to Decimals

2.2.10. Conversion of Metric Units Using Decimals

2.2.11. Addition and Subtraction of Decimals

2.2.11.1. Addition of Decimals

2.2.11.2. Subtraction of Decimals

2.2.11.3. Mixed Operations on Decimals: Addition and Subtraction

2.2.11.4. Word Problems on Addition and Subtraction of Decimals

2.2.12. Multiplication and Division of Decimals

2.2.12.1. Multiplication of Decimals

2.2.12.1.1. Multiplication of a Decimal by 10, 100, 1000 etc

2.2.12.1.2. Multiplication of a Decimal by a Whole Number

2.2.12.1.3. Multiplication of Two/Three Decimals

2.2.12.1.4. Word Problems on Multiplication of Decimals

2.2.12.2. Division of Decimals

2.2.12.2.1. Division of a Decimal by 10, 100, 1000 etc

2.2.12.2.2. Division of a Decimal by a Multiple of 10, 100, 1000 etc

2.2.12.2.3. Division of a Decimal by a Whole Number

2.2.12.2.4. Division of a Decimal by a Decimal

2.2.12.2.5. Division of a Whole Number by a Decimal

2.2.12.2.6. Word Problems on Division of a Decimal

2.2.12.3. Mixed Operations on Decimals

3. Data Handling

3.1. Tabular Representation of Data

3.2. Mean, Median, and Mode

3.2.1. Mean

3.2.2. Median

3.2.3. Mode

3.3. Bar Graphs

3.3.1. Drawing Bar Graphs

3.3.2. Interpreting Bar Graphs

3.4. Probability

4. Simple Equations

4.1. Solving Linear Equations by the Method of Transposition

4.2. Word Problems Based on Linear Equations

5. Lines and Angles

5.1. Types of Angles

5.1.1. Complementary and Supplementary Angles

5.1.2. Linear Pair of Angles

5.1.3. Vertically Opposite Angles

5.1.4. Angles Around a Point

5.2. Angles Formed when a Transversal Cuts Two Parallel Lines

6. The Triangle and its Properties

6.1. Triangles

6.1.1. Classification of Triangles by the Length of the Sides

6.1.2. Classification of Triangles by the Angles

6.2. Properties of a Triangle

6.2.1. Angle Sum Property of a Triangle

6.2.2. Exterior Angle Property of a Triangle

6.2.3. Triangle Inequality

6.2.4. Pythagoras' Theorem

7. Congruence of Triangles

7.1. Understanding the Meaning

7.2. Congruence of Triangles

8. Comparing Quantities

8.1. Ratio

8.1.1. Equivalent Ratio

8.1.2. Ratio in the Simplest Form

8.1.3. Ratio of Two Quantities by Converting Them in Same Units

8.1.4. Comparison of Ratios

8.1.5. Miscellaneous on Ratio

8.2. Unitary Method

8.2.1. Problems on Direct Variation

8.2.2. Problems on Inverse Variation

8.3. Percentage

8.3.1. Conversions

8.3.1.1. Convert a Fraction into Percentage

8.3.1.2. Convert a Percentage into Fraction

8.3.1.3. Convert Percentage into a Ratio

8.3.1.4. Convert a Ratio into Percentage

8.3.1.5. Convert Percentage into Decimal form

8.3.1.6. Convert Decimal into Percentage

8.3.2. Percentage of a Quantity

8.3.3. Solving Expressions involving Percentages

8.3.4. Word Problems on Percentage

8.4. Profit and Loss

8.4.1. Terms Related to Profit and Loss

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

8.4.3. Problems on Finding the SP of the Article

8.4.4. Problems on Finding the CP of the Article

8.4.5. Problems on Finding the Number of Articles

8.5. Simple Interest

8.5.1. Problems on Calculating the Simple Interest

8.5.2. Problems on Calculating the Rate Percent

8.5.3. Problems on Calculating Time Period

8.5.4. Problems on Calculating the Principal

9. Rational Numbers

9.1. Understanding Rational Numbers

9.2. Standard Form of a Rational Number

9.3. Equivalent Rational Numbers

9.4. Comparison of Rational Numbers

9.5. Representation of Rational Numbers on the Real Line

9.6. Addition and Subtraction of Rational Numbers

9.6.1. Addition of Rational Numbers

9.6.2. Additive Inverse of a Rational Number

9.6.3. Subtraction of Rational Numbers

9.7. Multiplication and Division of Rational Numbers

9.7.1. Multiplication Of Rational Numbers

9.7.2. Reciprocal of Rational Number

9.8. Division Of Rational Numbers

9.9. Rational Numbers Lying Between Two Rational Numbers

9.10. Simplifying Rational Numbers

9.11. Word Problems on Rational Numbers

10. Practical Geometry

10.1. Construction of a Line Parallel to a Given Line

10.2. Construction of a Triangle

10.2.1. Constructing a Triangle When its Three Sides are Known

10.2.2. Constructing a Triangle When Two Sides and Angle Between Them are Known

10.2.3. Constructing a Triangle When Two Angles and Side Included Between are Known

10.2.4. Constructing a Right-Angled Triangle When One Leg and Hypotenuse are Known

11. Perimeter and Area

11.1. Standard Units of Area

11.2. Area and Perimeter of a Square

11.3. Area and Perimeter of a Rectangle

11.4. Area of 4 Walls of a Room

11.5. Area between Two Rectangles

11.6. Area and Perimeter of Triangles

11.7. Area and Perimeter of Parallelogram and Rhombus

11.8. Circumference and Area of a Circle

11.9. Area Enclosed Between Two Different Shapes

12. Algebraic Expressions

12.1. Variables and Constants

12.2. Types of Algebraic Expressions

12.3. Operations on Algebraic Expressions

12.3.1. Addition of Algebraic Expressions

12.3.2. Subtraction of Algebraic Expressions

12.3.3. Addition and Subtraction of Algebraic Expressions

12.3.4. Multiplication of Algebraic Expressions

12.3.4.1. Multiplication of Monomials

12.3.4.2. Multiplication of a Monomial and a Binomial

12.3.4.3. Multiplication of two Binomials

13. Exponents and Powers

13.1. Introduction to Exponents

13.2. Exponent of a Rational Number

13.3. Express Rational Numbers in Exponential Form

13.4. Solving Expressions Involving Exponents

13.5. Laws of Exponents

13.6. Word Problems on Exponents

13.7. Finding the Unknown from the Given Exponential Equation

13.8. Standard Form of Large Numbers

13.9. Standard Form of Small Numbers

13.10. Expanded Form of Large Numbers

14. Symmetry

14.1. Linear Symmetry

14.1.1. Linear Symmetry Around Us

14.1.2. Linear Symmetry in Geometric Figures

14.1.3. Linear Symmetry in Alphabets

14.2. Rotational Symmetry

14.2.1. Rotational Symmetry in Figures and Alphabets

15. Visualising Solid Shapes

15.1. Identifying 3-D Shapes

15.2. Faces, Edges and Vertices of 3-D Shapes (Cuboid, Cube, Cone, Cylinder, and Sphere)

15.3. Net of a 3-D Shape

Class 7 NCERT (CBSE and ICSE) Simplify Expressions involving Addition and Subtraction

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