UPSKILL MATH PLUS

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Rational Expression and its Operations

Methodical recommendation:

Theory

Number Name Description
1. Rational expression and its reduction To learn what is a rational expression and how to reduce it to its lowest form.
2. Excluded value of a rational expression To learn how to find the excluded value for a rational expression.
3. Multiplication of rational expressions To learn how to multiply expressions in its rational form.
4. Division of rational expressions To learn how to divide expressions in its rational form.
5. Addition of rational expressions To learn how to add expressions in its rational form.
6. Subtraction of rational expressions To learn how to subract expressions in its rational form.

Textbook Questions

Number Name Type Difficulty Marks Description
1. Multiple choice question I Other easy 1 m. Select the suitable choice for the given questions.
2. Multiple choice question II Other easy 1 m. Select the suitable choice for the given questions.
3. Multiple choice question III Other easy 1 m. Select the suitable choice for the given questions.
4. Copy of Copy of Two mark example problem I Other easy 2 m. Try to answer the given questions.
5. Copy of Two mark example problem I Other easy 2 m. Try to answer the given questions.
6. Two mark example problem I Other easy 2 m. Try to answer the given questions.
7. Two mark example problem II Other easy 2 m. Try to answer the given questions.
8. Two mark example problem V Other easy 2 m. Try to simplify the given expressions.
9. Two mark example problem VI Other easy 2 m. Try to simplify the given expressions.
10. Two mark example problem VII Other easy 2 m. Try to simplify the given expressions.
11. Two mark example problem VIII Other easy 2 m. Try to simplify the given expressions.
12. Two mark example problem IX Other easy 2 m. Try to simplify the given expressions.
13. Two mark exercise problem I Other easy 2 m. Try to reduce the given rational expressions.
14. Two mark exercise problem II Other easy 2 m. Try to reduce the given rational expressions.
15. Two mark exercise problem III Other easy 2 m. Try to reduce the given rational expressions.
16. Two mark exercise problem IV Other easy 2 m. Try to reduce the given rational expressions.
17. Two mark exercise problem V Other easy 2 m. Practice a problem to find the excluded values.
18. Two mark exercise problem VI Other easy 2 m. Practice a problem to find the excluded values.
19. Two mark exercise problem VII Other easy 2 m. Practice a problem to find the excluded values.
20. Two mark exercise problem VIII Other easy 2 m. Practice a problem to find the excluded values.
21. Two mark exercise problems IX Other medium 2 m. Try to simplify the given expressions.
22. Two mark exercise problem X Other medium 2 m. Try to simplify the given expressions.
23. Two mark exercise problem XI Other medium 2 m. Try to simplify the given expressions.
24. Two mark exercise problem XII Other medium 2 m. Try to simplify the given expressions.
25. Two mark exercise problem XIII Other medium 2 m. Try to simplify the given expressions.
26. Two mark exercise problem XIV Other medium 2 m. Try to simplify the given expressions.
27. Two mark exercise problem XV Other medium 2 m. Try to answer the given questions.
28. Two mark exercise problem XVI Other medium 2 m. Try to answer the given questions.
29. Two mark exercise problem XVII Other medium 2 m. Try to answer the given questions.
30. Five mark example problem I Other medium 5 m. Check your understanding skills in the concept of simplifying the rational expressions.
31. Five mark example problem II Other medium 5 m. Check your understanding skills in the concept of simplifying the rational expressions.
32. Five mark example problem III Other medium 5 m. Try to answer the given questions.
33. Five mark example problem IV Other medium 5 m. Try to answer the given questions.
34. Five mark exercise problem V Other medium 10 m. Try to simplify the given expressions.
35. Five mark exercise problem VI Other medium 5 m. Try to simplify the given expressions.
36. Five mark exercise problem VII Other hard 5 m. Try to answer the given questions.
37. Five mark exercise problem VIII Other hard 5 m. Try to answer the given questions.
38. Five mark exercise problems IX Other hard 10 m. To find the value of the rational expression using the rational expression.
39. Five mark exercise problems X Other hard 5 m. To find the value of the rational expression using the rational expression.
40. Five mark exercise problem X Other hard 5 m. Try to answer the given questions.
41. Five mark exercise problem XI Other hard 5 m. Try to answer the given questions.
42. Five mark exercise problem XI Other hard 5 m. Try to answer the given questions.

Practice Questions

Number Name Type Difficulty Marks Description
1. Reduce the following expressions Other easy 2 m. To reduce the given rational expression and enter the answers in the respective boxes provided.
2. Reduce the expression to its lowest form Other easy 2 m. To reduce the expression to its lowest form and enter the answers in the boxes provided.
3. Find the difference Other easy 2 m. To find the difference of two rational numbers and to reduce it to its lowest form.
4. Find the sum Other easy 2 m. To find the sum of the given two rational numbers.
5. Find the excluded valiue, if any Other easy 2 m. To find the excluded valiue of the given rational expression by reducing it to its lowest form.
6. Divide the given expression Other easy 2 m. To divide the given rational expressions.
7. Multiply the given expression Other easy 2 m. To multiply the given rational expressions.
8. Find the sum of the given expressions Other easy 2 m. To find the sum of the given two rational expressions.
9. Reduce the expression Other medium 2 m. To reduce the given quadratic rational expression to its lowest form.
10. Find the excluded value for the given expression Other medium 2 m. To reduce the given quadratic rational expression to its lowest form and to find its excluded value.
11. Find the excluded value Other medium 2 m. To find the excluded valiue of the given rational expression by reducing it to its lowest form.
12. Find the product Other medium 2 m. To find the product of the given two rational numbers.
13. Determine the sum Other medium 2 m. To determine the sum of the given two rational expresions.
14. Divide the following Other medium 2 m. To divide the given two rational numbers.
15. Find the difference between the given expressions Other medium 2 m. To find the difference between the given two rational expressions.
16. Simplify the expression Other medium 2 m. To simplify the given rational expressionsl based on the given arithmetic operation.
17. Find the lowest form of the expression Other hard 5 m. To find the lowest form of the given rational expression.
18. Find the excluded value of the expression Other hard 5 m. To find the excluded value of the given rational expression.
19. Divide the rational expressions Other hard 5 m. To divide the given rational expressions.

Key Questions for School Exam Preparation

Number Name Type Difficulty Marks Description
1. Simplify the given expression Other easy 1 m. Check your understanding skills in the concept of simplifying the given rational expressions.
2. Add the expressions Other easy 2 m. Try to add the given expressions.
3. Add and subtract the expressions Other medium 2 m. Practice a problem to solve the expressions by adding snd subtracting.
4. Solve the expressions Other medium 5 m. Check your understanding skills in the concept of solving rational expressions.

Questions for Teacher Use

Number Name Type Difficulty Marks Description
1. Simplify the given expression Other easy 2 m. To simplify the given rational expression by reducing it to its lowest form.
2. Find the time taken Other medium 5 m. To find the time taken if the speed and distance covered are given and enter the answers in the appropriate boxes provided.
3. Simplify the expression Other hard 5 m. To simplify the rational expressions under the given operations.
4. Find the excluded value Other easy 2 m. To find the excluded valiue of the given rational expression by reducing it to its lowest form.
5. Division of two rational expressions Other easy 1 m. Try to simplify the given expressions.

Periodic assessments

Number Name Recomended time: Difficulty Marks Description
1. Homework I 00:20:00 easy 10 m.
2. Homework II 00:20:00 easy 10 m.
3. Homework III 00:20:00 easy 10 m.
4. Homework IV 00:15:00 medium 10 m.
5. Homework V 00:15:00 medium 15 m.
6. Revision test I 00:25:00 medium 17 m.
7. Revision test II 00:25:00 medium 22 m.
8. Revision test III 00:30:00 hard 30 m.
9. Revition test IV 00:40:00 hard 37 m.
10. Revistion test V 00:45:00 hard 45 m.
11. Periodic Assessment 00:10:00 medium 2 m.
12. Periodic Assessment - 3 00:10:00 medium 2 m. PA3
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