UPSKILL MATH PLUS
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Theory
| Number | Name | Description |
|---|---|---|
| 1. | Introduction to linear equation in two variable | Let us learn the concept of linear equation in two variable. |
| 2. | Graphical representation of linear equation in two variable | Let us learn the concept of how to graph a given linear equation in two variable. |
| 3. | Introduction to simultaneous linear equations | Let us learn the concept of simultaneous linear equations. |
| 4. | Solving the system of equations graphically | Let us learn how to graph the system of equations and find the unique solution. |
| 5. | Special terminology | Let us learn how to find the number of solutions to the system of equations in a graph. |
| 6. | Solving by substitution method | Let us understand how to solve the system of linear equations using substitution method. |
| 7. | Solving by Elimination method | Let us learn the concept of solving the system of linear equations by Elimination method. |
| 8. | Solving by cross multiplication method | Let us learn about the concept of how to solve the system of linear equations using cross multiplication method. |
| 9. | Condition for consistency and inconsistency | Let us learn how to determine the consistent and inconsistent solution for the given system of linear equations. |
| 10. | Mind map | Let us look at the mind map of the linear equation in two variables. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Multiple choice questions I | Other | easy | 2 m. | Select the suitable choice for the given questions. |
| 2. | Multiple choice questions II | Other | easy | 2 m. | Select the correct choice for the given questions. |
| 3. | Multiple choice questions III | Other | easy | 3 m. | Try to select the correct option. |
| 4. | Multiple choice questions IV | Other | easy | 3 m. | Select the suitable choice for the given questions. |
| 5. | Two mark example problems I | Other | easy | 4 m. | Try to answer the given questions. |
| 6. | Two mark example problems II | Other | easy | 4 m. | Try to solve the given equations. |
| 7. | Two mark example problems III | Other | easy | 4 m. | Try to solve the given linear equations. |
| 8. | Two mark example problems IV | Other | easy | 4 m. | Check your understanding skills in the concept of consistency and inconsistency of linear equations. |
| 9. | Two mark example problems V | Other | medium | 4 m. | Check your understanding skills in the concept of consistency and inconsistency of linear equations. |
| 10. | Two mark exercise problems I | Other | medium | 4 m. | Try to solve the equations using substitution method. |
| 11. | Two mark exercise problems II | Other | medium | 4 m. | Try to solve the equations using substitution method. |
| 12. | Two mark exercise problems III | Other | medium | 4 m. | Try to solve using elimination method. |
| 13. | Two mark exercise problems IV | Other | medium | 4 m. | Try to solve using elimination method. |
| 14. | Two mark exercise problems V | Other | medium | 4 m. | Try to solve the linear equations. |
| 15. | Two mark exercise problems VI | Other | medium | 4 m. | Check your understanding skills in the concept of solving equations using cross multiplication method. |
| 16. | Five mark example problems I | Other | medium | 10 m. | Try to answer the given questions. |
| 17. | Five mark example problems II | Other | medium | 5 m. | Apply the concept of consistency and inconsistency of the linear equations. |
| 18. | Five mark example problems III | Other | medium | 0 m. | Draw the graph of the equation. |
| 19. | Five mark example problems IV | Other | medium | 0 m. | Draw the graph of the linear equation. |
| 20. | Five mark example problems V | Other | medium | 0 m. | Draw the graph of the given linear equations. |
| 21. | Five mark example problems VI | Other | medium | 0 m. | Solve the equations graphically. |
| 22. | Five mark example problems VII | Other | hard | 0 m. | Solve the equations graphically. |
| 23. | Five mark exercise problems I | Other | hard | 10 m. | Check your understanding skills in the concept of substitution method. |
| 24. | Five mark exercise problems II | Other | hard | 10 m. | Check your understanding skills in the concept of elimination method. |
| 25. | Five mark exercise problems III | Other | hard | 10 m. | Try to answer the given questions. |
| 26. | Five mark exercise problems IV | Other | hard | 10 m. | Try to solve the given questions. |
| 27. | Five mark exercise problems V | Other | hard | 10 m. | Check your understanding skills in the concept of solving linear equations in two variables. |
| 28. | Five mark exercise problems VI | Other | hard | 5 m. | Try to answer the given questions. |
| 29. | Five mark exercise problems VII | Other | hard | 10 m. | Try to answer the given questions. |
| 30. | Five mark exercise problems VIII | Other | hard | 0 m. | Solve the equation graphically. |
| 31. | Five mark exercise problems IX | Other | hard | 0 m. | Solve the equations graphically. |
| 32. | Five mark exercise problems X | Other | hard | 0 m. | Solve the equations graphically. |
| 33. | Five mark exercise problems XI | Other | hard | 0 m. | Try to solve the equations graphically. |
| 34. | Five mark exercise problems XII | Other | hard | 0 m. | Try to solve the given questions by graphical method. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Verify the solution | Other | easy | 1 m. | Practice the problem and check the given solution is correct or not. |
| 2. | Find the value of the variable | Other | easy | 1 m. | Try to find the value of the variable using the given values. |
| 3. | Find the solution | Other | easy | 2 m. | Try to solve the given linear equations using substitution method. |
| 4. | Determine the value | Other | easy | 2 m. | Try to find the solution of the simultaneous linear equation by elimination method. |
| 5. | Check whether the system has a unique solution | Other | easy | 2 m. | Practice a problem to find whether the given system of equations has a unique solution. |
| 6. | Find the value | Other | easy | 2 m. | Try to find the value of the variable. |
| 7. | Estimate the value of 'x' and 'y' | Other | medium | 2 m. | Check your understanding skills in the concept of finding the solution using cross multiplication method. |
| 8. | Find the two numbers | Other | medium | 2 m. | Find the two numbers using the substitution method. |
| 9. | Find the number of tickets | Other | medium | 2 m. | Practice a problem to determine the number of tickets for adult and children by using elimination method. |
| 10. | Choose the correct answer | Other | medium | 2 m. | Find the value of the variable if the system has a unique solution. |
| 11. | Choose the correct answer | Other | medium | 3 m. | Recall the concepts and answer the given questions. |
| 12. | Say true or false | Other | medium | 4 m. | Check whether the given statement is correct or not. |
| 13. | Answer the questions | Other | medium | 4 m. | Check the consistency and inconsistency of the given system of equations and answer the questions. |
| 14. | Fill in the blanks | Other | hard | 5 m. | Try to find the value of the variable if the system has infinitely many number of solutions. |
| 15. | Estimate the age | Other | hard | 5 m. | Try to find the age daughter/son and father/mother by using substitution method. |
| 16. | Evaluate the cost | Other | hard | 5 m. | Practice a problem to find the cost of a notebook and the cost of a pen using elimination method. |
| 17. | Determine the cost | Other | hard | 5 m. | Check your understanding skills in the concept of cross multiplication method. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Determine the value of m | Other | easy | 1 m. | Select the suitable choice for the given questions. |
| 2. | Prove the following | Other | easy | 2 m. | Try to verify the given question. |
| 3. | Solve the equations | Other | medium | 2 m. | Try to solve the equations using substitution method. |
| 4. | Find the numbers | Other | hard | 5 m. | Check your understanding skills in the concept of solving linear equations in two variables. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Select the suitable answer | Other | easy | 2 m. | Work on the problem and select the correct option. |
| 2. | Say true or false | Other | easy | 3 m. | Check whether the given statement is correct or not. |
| 3. | Solve the equations | Other | medium | 2 m. | Try to find the solution of the linear equations using substitution method. |
| 4. | Determine 'x' and 'y' | Other | medium | 2 m. | Try to solve the given linear equations using elimination method. |
| 5. | Find the other equation | Other | medium | 0 m. | Check your understanding skills in the concept of consistency and inconsistency of linear equations in two variables. |
| 6. | Write the equation and find the cost of a mobile phone | Other | medium | 4 m. | Check your understanding skills in the concept of linear equation in one variable. |
| 7. | Draw the graph of linear equation in two variables | Other | hard | 0 m. | Try to solve the problem and then graph the equation. |
| 8. | Calculate the cost | Other | hard | 5 m. | Practice a problem to solve the linear equations using graphical method. |
| 9. | Check the solution | Other | hard | 5 m. | Check whether the given solution is correct or not. |
| 10. | Determine the value of the variable | Other | hard | 5 m. | Practice a problem to find the value of the variable. |
| 11. | System of equations: Unique solution | Other | medium | 2 m. | Find the value of the variable if the system has a unique solution. |
| 12. | Solutions of the equation | Other | easy | 2 m. | Select the suitable choice for the given questions. |
| 13. | Unique solution | Other | medium | 2 m. | Find the value of the variable if the system has a unique solution. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:10:00 | easy | 7 m. | |
| 2. | Homework II | 00:15:00 | easy | 10 m. | |
| 3. | Homework III | 00:15:00 | easy | 10 m. | |
| 4. | Homework IV | 00:20:00 | easy | 12 m. | |
| 5. | Homework V | 00:25:00 | medium | 18 m. | |
| 6. | Homework VI | 00:25:00 | medium | 20 m. | |
| 7. | Homework VII | 00:25:00 | medium | 20 m. | |
| 8. | Revision test I | 00:25:00 | medium | 20 m. | |
| 9. | Revision test II | 00:25:00 | medium | 20 m. | |
| 10. | Revision test III | 00:25:00 | medium | 20 m. | |
| 11. | Revision test IV | 00:30:00 | medium | 10 m. | |
| 12. | Revision test V | 00:30:00 | hard | 10 m. | |
| 13. | Revision test VI | 00:30:00 | hard | 14 m. | |
| 14. | Revision test VII | 00:30:00 | hard | 15 m. | |
| 15. | Revision test VIII | 00:30:00 | hard | 15 m. | |
| 16. | Periodic Assessment | 00:10:00 | medium | 4 m. | PA 1 - Linear equation in two variables |
| 17. | Bridge Course Demo 2 | 00:10:00 | medium | 2 m. |
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