Important Questions Maths Chapter 4 Class 7 Ganit Prakash

Expressions using Letter-Numbers

1. What is an algebraic expression?

Ans: An algebraic expression is a mathematical expression that contains numbers, letter-numbers (variables), and operations like +, –, ×, and ÷.

2. Write an expression for Shabnam’s age if Aftab’s age is a.

Ans: Shabnam’s age = a + 3

3. If Shabnam’s age is s, write the expression for Aftab’s age.

Ans: Aftab’s age = s – 3

4. Write an algebraic expression for the number of matchsticks needed to make n L-shapes.

Ans: Number of matchsticks = 2n

5. Find the total cost if c coconuts and j kg jaggery are bought.

Ans: Total cost = 35c + 60j

6. Write a formula for the perimeter of a square with side q.

Ans: Perimeter = 4q

7. Write a formula for the perimeter of a rectangle with length l and breadth b.

Ans: Perimeter = 2l + 2b

8. Write the simplified expression for 5c + 3c + 10c.

Ans: Simplified expression = 18c

9. What is the expression for the area of a rectangle with sides v and 4 + 3?

Ans: Area = 7v

10. Simplify: 40x + 75y – 6x – 10y

Ans: Simplified expression = 34x + 65y

11. If Charu’s scores in three rounds are 7p – 3q, 8p – 4q, and 6p – 2q, find her total score.

Ans: Total score = 21p – 9q

12. Simplify: 4(x + y) – y

Ans: 4x + 3y

13. Are the expressions 5u and 5 + u equal? Why or why not?

Ans: No, they are not equal. 5u means multiplication, while 5 + u is addition.

14. What is the expression for the nth term in the pattern: 4, 8, 12, 16…?

Ans: nth term = 4n

15. What is the simplified form of l + b + l + b?

Ans: 2l + 2b

16. Write an expression for the number of matchsticks in Step y for the triangle pattern.

Ans: Expression = 2y + 1

17. If a 2 × 2 square on a calendar has top-left number a, what is the sum of diagonals?

Ans: Diagonal sum = 2a + 8

18. Expression for the nth position of Design C in a repeating pattern A, B, C is?

Ans: Position = 3n

19. What is the expression for the number of pieces when a rope is folded r times and cut?

Ans: Number of pieces = r + 1

20. Describe what the expression 30x + 20y represents.

Ans: Total cost of x Jowar rotis at ₹30 each and y Pulaos at ₹20 each.