1. A rational expression is an expression of the form p(x)/q(x) where
Answer: A. p(x) and q(x) are polynomials and q(x) ≠ 0
Mathematics Class 10 Unit 5: Algebraic Fractions MCQs
35 multiple choice questions with the correct answer for each. Tap an option to check yourself, or switch on "Show all answers".
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2. Which of the following is a rational expression?
Answer: C. (x + 1)/(x − 2)
3. (x² − 9)/(x − 3) in simplest form is
Answer: B. x + 3
4. (x² − 4)/(x + 2) in simplest form is
Answer: D. x − 2
5. (x² + 5x + 6)/(x + 2) in simplest form is
Answer: D. x + 3
6. (x² − 1)/(x² + x) in simplest form is
Answer: A. (x − 1)/x
7. The rational expression (x + 1)/(x − 3) is undefined at
Answer: B. x = 3
8. The rational expression 5/(x² − 4) is undefined at
Answer: C. x = ±2
9. 1/x + 1/y equals
Answer: C. (x + y)/(xy)
10. 1/x − 1/y equals
Answer: B. (y − x)/(xy)
11. 2/(x + 1) + 3/(x + 1) equals
Answer: A. 5/(x + 1)
12. x/(x + 1) + 1/(x + 1) equals
Answer: D. 1
13. 1/(x − 1) + 1/(x + 1) equals
Answer: B. 2x/(x² − 1)
14. 1/(x − 1) − 1/(x + 1) equals
Answer: D. 2/(x² − 1)
15. (x/3) × (6/x²) equals
Answer: A. 2/x
16. (a/b) ÷ (c/d) equals
Answer: C. ad/(bc)
17. (x² − 1)/x × x/(x + 1) equals
Answer: C. x − 1
18. (x + 2)/(x − 1) ÷ (x + 2)/(x + 3) equals
Answer: D. (x + 3)/(x − 1)
19. The L.C.M. of x² − 1 and x + 1 is
Answer: B. x² − 1
20. The L.C.M. of x and x² is
Answer: A. x²
21. The H.C.F. of x² − 4 and x + 2 is
Answer: D. x + 2
22. The solution of x/2 = 6 is
Answer: A. x = 12
23. The solution of 3/x = 6 is
Answer: B. x = 1/2
24. The solution of 1/x + 1/2 = 1 is
Answer: C. x = 2
25. The solution of (x + 1)/2 = (x − 1)/3 is
Answer: B. x = −5
26. The solution of 2/(x − 1) = 1 is
Answer: D. x = 3
27. The solution of x/(x − 2) = 3 is
Answer: A. x = 3
28. The solution of 1/(x + 2) = 1/4 is
Answer: C. x = 2
29. Which value must be excluded from the solution set of 1/(x − 5) = 2?
Answer: B. x = 5
30. The sum of two numbers is 10 and the sum of their reciprocals is 5/12. If one number is x, the equation is
Answer: A. 1/x + 1/(10 − x) = 5/12
31. The expression (x² + 2x + 1)/(x + 1) simplifies to
Answer: D. x + 1
32. The expression (2x + 4)/(x + 2) simplifies to
Answer: C. 2
33. If x = 2, the value of (x² − 1)/(x + 1) is
Answer: C. 1
34. The reciprocal of (x + 1)/(x − 1) is
Answer: B. (x − 1)/(x + 1)
35. A rational expression is in its lowest terms when its numerator and denominator have
Answer: A. no common factor other than 1
About Mathematics Class 10 Unit 5 MCQs (Federal Board)
These 35 Mathematics MCQs cover Class 10 Unit 5: Algebraic Fractions of the Federal Board (FBISE) SSC-II (Class 10) syllabus. They are SLO-based MCQs as per the new pattern for FBISE exams. Each question has four options and the correct answer is shown, so you can practise for the annual examination and find the topics you still need to revise. Download the Algebraic Fractions MCQs as a PDF using the button at the top of this page.