UPSKILL MATH PLUS

Learn Mathematics through our AI based learning portal with the support of our Academic Experts!

Learn more

Methodical recommendation:

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.