Algebraic Questions

  1. A number is multiplied by 7 and then 5 is added to the result. Write the algebraic expression.
  2. If x chocolates are shared equally among 4 friends, how many chocolates will each friend get? Write the expression.
  3. A shopkeeper buys pens at ₹p each. He sells them at ₹12 more than the cost price. Write the expression for the selling price of one pen.
  4. Riya’s age is 5 years more than twice the age of her brother. Let her brother’s age be y years. Write Riya’s age in terms of y.
  5. A rectangle has length 3 cm more than its width. If the width is w cm, write the length and the perimeter of the rectangle.
  6. In a basket there are m mangoes. 8 more mangoes are added and then the total is divided into 3 equal parts. Write the expression for the number of mangoes in each part.
  7. A taxi charges ₹35 fixed fare plus ₹9 for every kilometre. If the journey is k kilometres, write the total fare.
  8. A number is decreased by 12 and the result is multiplied by 4. Write the expression.
  9. Let the price of one notebook be ₹n. What will be the cost of 5 notebooks and 3 pens if each pen costs ₹15?
  10. A father’s age is three times the age of his son. If the son’s age is s years, write the father’s age and their total age after 4 years.
  11. A square has side length 2 more than a number. If the number is x, write the expression for the perimeter of the square.
  12. In a class there are 28 students. If b boys are absent, write the expression for the number of girls present (assuming all absent students are boys).
  13. A movie ticket costs ₹120. If z students go to watch the movie, write the total amount spent.
  14. A plant grows 3 cm every week. If it was already 15 cm tall and after w weeks its height is h cm, write the expression for h.
  15. A number is first divided by 5 and then 9 is subtracted from the result. Write the expression.
  16. Meera has ₹450. She buys 7 books at the same price. If the price of each book is ₹c, write the amount left with Meera.
  17. The sum of two numbers is 48. If one number is m, write the other number.
  18. A rope is cut into 6 equal pieces. Each piece is 4 cm longer than a stick of length s cm. Write the expression for the total length of the rope.
  19. In a parking lot there are c cars and m motorcycles. Each car has 4 wheels and each motorcycle has 2 wheels. Write the total number of wheels.
  20. A shop gives a discount of ₹d on every purchase above ₹500. If the original price of an item is ₹p, write the expression for the final price paid.