Simplify Expressions involving Addition and Subtraction | Problems, Online Practice, Tests, Worksheets, Quizzes, Assignments | Grade 7 | Sri Lanka School Math

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Grade 7
Fractions
Operations on Fractions
Simplify Expressions involving Addition and Subtraction

Grade 7

1. Volume and Surface Area

1.1. Volume and Surface Area of Cylinders

1.2. Three-dimensional Solids

1.3. Volume and Surface Area of Cubes

1.4. Volume and Surface Area of Cuboids

2. Integers

2.1. Revisiting Basics

2.2. Operations on Integers

2.2.1. Addition and Subtraction of Integers

2.2.1.1. Addition of Integers

2.2.1.2. Properties of Addition of Integers

2.2.1.3. Subtraction of Integers

2.2.1.4. Properties of Subtraction of Integers

2.2.2. Multiplication and Division of Integers

2.2.2.1. Multiplication of Integers

2.2.2.2. Properties of Multiplication of Integers

2.2.2.3. Division of Integers

2.2.2.4. Properties of Division of Integers

2.2.3. Mixed Operations of Integers

2.2.4. Word Problems on Integers

3. Fractions

3.1. Revisiting Basics

3.2. Equivalent Fractions

3.3. Comparing Fractions

3.3.1. Comparing Like Fractions

3.3.2. Comparing Unlike Fractions

3.4. Operations on Fractions

3.4.1. Addition of Fractions

3.4.1.1. Addition of Like Fractions

3.4.1.2. Addition of Unlike Fractions

3.4.1.3. Addition of Mixed Fractions

3.4.2. Subtraction of Fractions

3.4.2.1. Subtraction of Like Fractions

3.4.2.2. Subtraction of Unlike Fractions

3.4.2.3. Subtraction of Mixed Fractions

3.4.3. Simplify Expressions involving Addition and Subtraction

3.4.4. Multiplication of Fractions

3.4.4.1. Simplify Expressions involving Multiplication

3.4.4.2. Use of 'OF'

3.4.5. Division of Fractions

3.4.5.1. Reciprocal of a Fraction

3.4.5.2. Simplify Expressions involving Division

3.4.6. Simplification by Using Operations

3.4.7. Word Problems on Fractions

3.4.7.1. Word Problems on Addition of Fractions

3.4.7.2. Word Problems on Subtraction of Fractions

3.4.7.3. Word Problems on Addition and Subtraction of Fractions

3.4.7.4. Word Problems on Multiplication of Fractions

3.4.7.5. Word Problems on Division of Fractions

4. Rational Numbers

4.1. Understanding Rational Numbers

4.2. Equivalent Rational Numbers

4.3. Comparison of Rational Numbers

4.4. Representation of Rational Numbers on the Real Line

4.5. Addition and Subtraction of Rational Numbers

4.5.1. Addition of Rational Numbers

4.5.2. Additive Inverse of a Rational Number

4.5.3. Subtraction of Rational Numbers

4.6. Multiplication and Division of Rational Numbers

4.6.1. Multiplication Of Rational Numbers

4.6.2. Reciprocal of Rational Number

4.6.3. Division Of Rational Numbers

4.7. Rational Numbers Lying Between Two Rational Numbers

4.8. Simplifying Rational Numbers

4.9. Word Problems on Rational Numbers

5. Decimals

5.1. Revisiting Basics

5.2. Like, Unlike And Equivalent Decimals

5.3. Ordering And Comparing Decimals

5.4. Relate Decimals and Fractions

5.4.1. Convert Decimals to Fractions

5.4.2. Convert Fractions to Decimals

5.4.3. Conversion of Metric Units Using Decimals

5.5. Addition and Subtraction of Decimals

5.5.1. Addition of Decimals

5.5.2. Subtraction of Decimals

5.5.3. Mixed Operations on Decimals: Addition and Subtraction

5.5.4. Word Problems on Addition and Subtraction of Decimals

5.6. Multiplication and Division of Decimals

5.6.1. Multiplication of Decimals

5.6.2. Division of Decimals

5.6.3. Word Problems on Multiplication of Decimals

5.6.4. Word Problems on Division of a Decimal

5.6.5. Mixed Operations on Decimals

6. Ratio and Proportion

6.1. Ratio

6.1.1. Terms of a Ratio

6.1.2. Equivalent Ratio

6.1.3. Ratio in the Simplest Form

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

6.1.5. Comparison of Ratios

6.1.6. Miscellaneous questions on Ratio

6.2. Proportion

6.2.1. Terms of a Proportion

6.2.2. Condition for the given Numbers/Ratios to be in Proportion

6.2.3. Find the unknown variable when four numbers are in Proportion

6.2.4. Continued proportion

7. Unitary Method

7.1. Problems on Direct Variation

7.2. Problems on Inverse Variation

8. Percentage

8.1. Conversions

8.1.1. Convert a Fraction into Percentage

8.1.2. Convert a Percentage into Fraction

8.1.3. Convert Percentage into a Ratio

8.1.4. Convert a Ratio into Percentage

8.1.5. Convert Percentage into Decimal form

8.1.6. Convert Decimal into Percentage

8.2. Percentage of a Quantity

8.3. Solving Expressions involving Percentages

8.4. Word Problems on Percentage

9. Profit and Loss

9.1. Terms Related to Profit and Loss

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

9.3. Problems on Finding the SP of the Article

9.4. Problems on Finding the CP of the Article

9.5. Problems on Finding the Number of Articles

10. Simple Interest

10.1. Problems on Calculating the Simple Interest

10.2. Problems on Calculating the Rate Percent

10.3. Problems on Calculating Time Period

10.4. Problems on Calculating the Principal

11. Exponents

11.1. Introduction to Exponents

11.2. Exponent of a Rational Number

11.3. Express Rational Numbers in Exponential Form

11.4. Solving Expressions Involving Exponents

11.5. Laws of Exponents

11.6. Finding the Unknown from the Given Exponential Equation

11.7. Standard Form of Large Numbers

11.8. Standard Form of Small Numbers

11.9. Expanded Form of Large Numbers

12. Algebraic Expressions

12.1. Variables and Constants

12.2. Types of Algebraic Expressions

12.3. Finding the Value of an Algebraic Expression

12.4. Operations on Algebraic Expressions

12.4.1. Addition of Algebraic Expressions

12.4.2. Subtraction of Algebraic Expressions

12.4.3. Addition and Subtraction of Algebraic Expressions

12.4.4. Multiplication of Algebraic Expressions

12.4.4.1. Multiplication of Monomials

12.4.4.2. Multiplication of a Monomial and a Binomial

12.4.4.3. Multiplication of two Binomials

12.5. Simplifying Algebraic Expression by Eliminating the Grouping Symbols

13. Linear Equations in One Variable

13.1. Solving Linear Equations by the Method of Transposition

13.2. Word Problems Based on Linear Equations

14. Mensuration

14.1. Standard Units of Area

14.2. Area and Perimeter of a Square

14.3. Area and Perimeter of a Rectangle

14.4. Area between Two Rectangles

14.5. Area and Perimeter of Triangles

14.6. Area and Perimeter of Parallelogram and Rhombus

14.7. Circumference and Area of a Circle

14.8. Area Enclosed Between Two Different Shapes

15. Geometry

15.1. Lines and Angles

15.1.1. Types of Angles

15.1.1.1. Complementary and Supplementary Angles

15.1.1.2. Linear Pair of Angles

15.1.1.3. Vertically Opposite Angles

15.1.1.4. Angles Around a Point

15.1.2. Angles Formed when a Transversal Cuts Two Parallel Lines

15.2. Triangles

15.2.1. Classification of Triangles by the Length of the Sides

15.2.2. Classification of Triangles by the Angles

15.2.3. Properties of a Triangle

15.2.3.1. Angle Sum Property of a Triangle

15.2.3.2. Exterior Angle Property of a Triangle

15.2.3.3. Triangle Inequality

15.2.3.4. Pythagoras' Theorem

15.3. Congruence

15.3.1. Understanding the Meaning

15.3.2. Congruence of Triangles

16. Reflection and Rotational Symmetry

16.1. Linear Symmetry

16.1.1. Linear Symmetry Around Us

16.1.2. Linear Symmetry in Geometric Figures

16.1.3. Linear Symmetry in Alphabets

16.2. Rotational Symmetry

16.2.1. Rotational Symmetry in Figures

16.2.2. Rotational Symmetry in Geometric Figures

16.2.3. Rotational Symmetry in Alphabets

17. Three-Dimensional Shapes

17.1. Identifying 3-D Shapes

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

17.3. Net of a 3-D Shape

18. Probability

19. Data Handling

19.1. Tabular Representation of Data

19.2. Mean, Median, and Mode

19.2.1. Mean

19.2.1.1. Mean of Ungrouped Data

19.2.1.2. Mean of Tabulated Data

19.2.2. Median

19.2.2.1. Median of Ungrouped Data

19.2.2.2. Median of Discrete Series

19.2.3. Mode

19.2.3.1. Mode of Ungrouped Data

19.2.3.2. Empirical Formula for Calculating Mode

19.3. Bar Graphs

19.3.1. Drawing Bar Graphs

19.3.2. Interpreting Bar Graphs

Grade 7 Sri Lanka School Math Simplify Expressions involving Addition and Subtraction

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